Details

analyze658.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify1.4s (7.4%)

Algorithm

1×	egg-herbie

Rules

825×	`exp-prod_binary64_6268`
467×	`times-frac_binary64_6222`
434×	`associate-/l/_binary64_6163` `associate-/l*_binary64_6161`
232×	`associate-r_binary64_6156`
192×	`cancel-sign-sub-inv_binary64_6182`
191×	`distribute-rgt-out_binary64_6169`
190×	`div-sub_binary64_6221`
159×	`associate-l_binary64_6157`
152×	`associate-/r*_binary64_6160`
150×	`distribute-rgt-out--_binary64_6170`
82×	`distribute-lft-out_binary64_6167`
80×	`distribute-rgt-in_binary64_6166`
76×	`distribute-lft-out--_binary64_6168`
75×	`associate-/r/_binary64_6162`
74×	`sub-neg_binary64_6209`
69×	`associate-*l/_binary64_6159`
66×	`associate-*r/_binary64_6158`
58×	`distribute-lft-in_binary64_6165`
40×	`distribute-frac-neg_binary64_6179`
34×	`*-commutative_binary64_6147`
31×	`neg-mul-1_binary64_6212`
27×	`neg-sub0_binary64_6211`
26×	`distribute-lft-neg-out_binary64_6175`
24×	`distribute-rgt-neg-out_binary64_6176`
22×	`distribute-neg-frac_binary64_6180` `distribute-neg-in_binary64_6177`
20×	`unsub-neg_binary64_6210`
19×	`distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173` `associate--r+_binary64_6152`
17×	`associate-+r-_binary64_6150`
15×	`associate-+l-_binary64_6151`
13×	`+-commutative_binary64_6146`
12×	`pow-plus_binary64_6279` `distribute-rgt1-in_binary64_6172` `associate-+r+_binary64_6148`
9×	`sub0-neg_binary64_6203`
7×	`--rgt-identity_binary64_6202`
6×	`div0_binary64_6197` `associate-+l+_binary64_6149`
4×	`remove-double-neg_binary64_6204` `associate--r-_binary64_6155`
3×	`+-rgt-identity_binary64_6201` `sqr-pow_binary64_6188` `distribute-lft1-in_binary64_6171` `count-2_binary64_6164` `associate--l-_binary64_6154` `associate--l+_binary64_6153`
2×	`exp-lft-sqr_binary64_6271` `cube-unmult_binary64_6253` `mul0-lft_binary64_6198` `*-inverses_binary64_6196` `swap-sqr_binary64_6183`
1×	`pow-base-1_binary64_6276` `exp-sum_binary64_6262` `1-exp_binary64_6260` `sqr-neg_binary64_6230` `*-rgt-identity_binary64_6206` `mul0-rgt_binary64_6199` `pow-sqr_binary64_6189`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `log-pow_binary64_6305` `log-rec_binary64_6304` `log-div_binary64_6303` `log-prod_binary64_6302` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `unpow3_binary64_6282` `unpow2_binary64_6281` `unpow1/2_binary64_6280` `exp-to-pow_binary64_6278` `unpow0_binary64_6275` `unpow1_binary64_6274` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-cbrt_binary64_6270` `exp-sqrt_binary64_6269` `div-exp_binary64_6267` `rec-exp_binary64_6266` `prod-exp_binary64_6265` `exp-diff_binary64_6264` `exp-neg_binary64_6263` `e-exp-1_binary64_6261` `exp-1-e_binary64_6259` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-mult_binary64_6246` `cube-div_binary64_6245` `cube-prod_binary64_6244` `cube-neg_binary64_6243` `rem-3cbrt-rft_binary64_6242` `rem-3cbrt-lft_binary64_6241` `rem-cbrt-cube_binary64_6240` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `rem-sqrt-square_binary64_6229` `rem-square-sqrt_binary64_6228` `mul-1-neg_binary64_6208` `/-rgt-identity_binary64_6207` `*-lft-identity_binary64_6205` `+-lft-identity_binary64_6200` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `difference-of-squares_binary64_6185` `unswap-sqr_binary64_6184` `cancel-sign-sub_binary64_6181` `distribute-neg-out_binary64_6178`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	33	16
3	64	16
4	108	16
5	188	16
6	481	16
7	4008	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

4.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
0.0b	(/.f64 t (-.f64 1 z))
3.8b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite278.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

111×	`add-sqr-sqrt_binary64_6238`
107×	`*-un-lft-identity_binary64_6216`
88×	`times-frac_binary64_6222`
72×	`cancel-sign-sub-inv_binary64_6182`
46×	`add-cube-cbrt_binary64_6251`
34×	`difference-of-squares_binary64_6185`
25×	`distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165`
21×	`distribute-lft-out--_binary64_6168`
10×	`associate-r_binary64_6156`
8×	`associate-/r/_binary64_6162`
7×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
6×	`flip3--_binary64_6220` `flip--_binary64_6191` `associate-/r*_binary64_6160`
5×	`pow1_binary64_6277` `add-log-exp_binary64_6255`
4×	`div-inv_binary64_6213`
3×	`sub-neg_binary64_6209` `associate-r/_binary64_6158` `associate-l_binary64_6157` `associate-/l_binary64_6161`
2×	`frac-sub_binary64_6225`
1×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `*-commutative_binary64_6147` `div-exp_binary64_6267` `cbrt-undiv_binary64_6250` `frac-2neg_binary64_6227` `clear-num_binary64_6215` `diff-log_binary64_6308`

Counts

3 → 162

Calls

3 calls:

29.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
27.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
6.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 3485 to 1799 computations (48.4% saved)

series914.0ms (5%)

Error

0.1b

Counts

3 → 65

Calls

3 calls:

469.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
277.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
112.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 2023 to 1293 computations (36.1% saved)

simplify1.1s (5.8%)

Algorithm

1×	egg-herbie

Rules

460×	`distribute-rgt-in_binary64_6166`
297×	`distribute-lft-neg-out_binary64_6175`
293×	`distribute-rgt-neg-out_binary64_6176`
243×	`associate-l_binary64_6157`
231×	`associate-r_binary64_6156`
214×	`associate-*l/_binary64_6159`
199×	`*-commutative_binary64_6147`
192×	`neg-sub0_binary64_6211`
177×	`div-sub_binary64_6221`
157×	`associate-*r/_binary64_6158`
154×	`neg-mul-1_binary64_6212`
148×	`distribute-rgt-neg-in_binary64_6174`
136×	`cancel-sign-sub-inv_binary64_6182`
124×	`sub-neg_binary64_6209`
123×	`distribute-frac-neg_binary64_6179`
119×	`distribute-neg-frac_binary64_6180`
91×	`associate-/l*_binary64_6161`
80×	`distribute-lft-neg-in_binary64_6173`
73×	`+-commutative_binary64_6146`
69×	`distribute-neg-in_binary64_6177`
64×	`*-rgt-identity_binary64_6206`
60×	`distribute-rgt-out_binary64_6169`
59×	`times-frac_binary64_6222`
56×	`associate-/l/_binary64_6163`
55×	`associate-/r*_binary64_6160`
54×	`*-lft-identity_binary64_6205`
47×	`distribute-lft-in_binary64_6165`
45×	`associate-+r+_binary64_6148`
40×	`unsub-neg_binary64_6210` `sqr-pow_binary64_6188`
34×	`associate-+l+_binary64_6149`
31×	`exp-prod_binary64_6268`
27×	`associate-/r/_binary64_6162`
21×	`/-rgt-identity_binary64_6207`
20×	`pow-sqr_binary64_6189`
19×	`associate--r+_binary64_6152`
18×	`log-prod_binary64_6302`
17×	`div-exp_binary64_6267`
16×	`prod-exp_binary64_6265`
15×	`cube-prod_binary64_6244`
13×	`swap-sqr_binary64_6183` `distribute-lft-out_binary64_6167`
12×	`cube-div_binary64_6245` `distribute-rgt-out--_binary64_6170`
10×	`log-div_binary64_6303` `distribute-rgt1-in_binary64_6172`
8×	`pow-plus_binary64_6279` `div0_binary64_6197` `difference-of-squares_binary64_6185`
7×	`unpow3_binary64_6282` `unswap-sqr_binary64_6184`
6×	`mul-1-neg_binary64_6208` `associate-+r-_binary64_6150`
5×	`log-pow_binary64_6305` `exp-sum_binary64_6262` `cube-unmult_binary64_6253` `cube-mult_binary64_6246`
4×	`rec-exp_binary64_6266` `exp-diff_binary64_6264`
3×	`pow-base-1_binary64_6276` `+-rgt-identity_binary64_6201`
2×	`log-rec_binary64_6304` `rem-3cbrt-lft_binary64_6241` `rem-sqrt-square_binary64_6229` `rem-square-sqrt_binary64_6228` `associate--l+_binary64_6153`
1×	`unpow2_binary64_6281` `unpow1_binary64_6274` `exp-sqrt_binary64_6269` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `rem-log-exp_binary64_6257` `remove-double-neg_binary64_6204` `*-inverses_binary64_6196` `distribute-lft1-in_binary64_6171` `distribute-lft-out--_binary64_6168` `associate--r-_binary64_6155`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `unpow1/2_binary64_6280` `exp-to-pow_binary64_6278` `unpow0_binary64_6275` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-lft-sqr_binary64_6271` `exp-cbrt_binary64_6270` `exp-neg_binary64_6263` `e-exp-1_binary64_6261` `exp-0_binary64_6258` `rem-exp-log_binary64_6256` `cube-neg_binary64_6243` `rem-3cbrt-rft_binary64_6242` `rem-cbrt-cube_binary64_6240` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `sqr-neg_binary64_6230` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-lft-identity_binary64_6200` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `cancel-sign-sub_binary64_6181` `distribute-neg-out_binary64_6178` `count-2_binary64_6164` `associate--l-_binary64_6154` `associate-+l-_binary64_6151`

Counts

227 → 857

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	4854
1	826	4747
2	3104	4138

prune1.2s (6.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	849	8	857
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	849	9	858

Error

0.0b

Counts

858 → 9

Compiler

Compiled 18172 to 7790 computations (57.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x y) z) (.f64 (*.f64 (neg.f64 t) (/.f64 1 (-.f64 1 z))) x))
0.1b	(*.f64 (neg.f64 t) (/.f64 1 (-.f64 1 z)))
2.8b	(.f64 (.f64 (neg.f64 t) (/.f64 1 (-.f64 1 z))) x)
5.2b	(/.f64 (*.f64 x y) z)

rewrite183.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`add-sqr-sqrt_binary64_6238`
33×	`add-exp-log_binary64_6254`
30×	`*-un-lft-identity_binary64_6216`
27×	`associate-r_binary64_6156`
23×	`add-cbrt-cube_binary64_6252` `times-frac_binary64_6222`
20×	`add-cube-cbrt_binary64_6251`
14×	`prod-exp_binary64_6265`
11×	`pow1_binary64_6277` `associate-l_binary64_6157`
8×	`cbrt-unprod_binary64_6249`
6×	`div-exp_binary64_6267` `add-log-exp_binary64_6255` `difference-of-squares_binary64_6185`
5×	`distribute-lft-neg-out_binary64_6175`
4×	`cbrt-undiv_binary64_6250` `pow-prod-down_binary64_6287` `associate-*l/_binary64_6159`
3×	`associate-/r_binary64_6160` `un-div-inv_binary64_6214` `associate-r/_binary64_6158` `unswap-sqr_binary64_6184` `distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173` `distribute-lft-out--_binary64_6168`
2×	`div-inv_binary64_6213` `1-exp_binary64_6260` `rec-exp_binary64_6266` `*-commutative_binary64_6147` `associate-/r/_binary64_6162` `frac-add_binary64_6224`
1×	`frac-2neg_binary64_6227` `clear-num_binary64_6215` `associate-/l*_binary64_6161` `neg-mul-1_binary64_6212` `flip3--_binary64_6220` `flip--_binary64_6191` `sum-log_binary64_6307` `flip3-+_binary64_6219` `unsub-neg_binary64_6210` `flip-+_binary64_6190` `+-commutative_binary64_6146`

Counts

4 → 115

Calls

4 calls:

15.0ms	(*.f64 (neg.f64 t) (/.f64 1 (-.f64 1 z)))
12.0ms	(.f64 (.f64 (neg.f64 t) (/.f64 1 (-.f64 1 z))) x)
8.0ms	(+.f64 (/.f64 (.f64 x y) z) (.f64 (*.f64 (neg.f64 t) (/.f64 1 (-.f64 1 z))) x))
4.0ms	(/.f64 (*.f64 x y) z)

Compiler

Compiled 2748 to 1415 computations (48.5% saved)

series1.0s (5.7%)

Error

0.0b

Counts

4 → 67

Calls

4 calls:

465.0ms	(+.f64 (/.f64 (.f64 x y) z) (.f64 (*.f64 (neg.f64 t) (/.f64 1 (-.f64 1 z))) x))
242.0ms	(.f64 (.f64 (neg.f64 t) (/.f64 1 (-.f64 1 z))) x)
164.0ms	(/.f64 (*.f64 x y) z)
123.0ms	(*.f64 (neg.f64 t) (/.f64 1 (-.f64 1 z)))

Compiler

Compiled 2662 to 1647 computations (38.1% saved)

simplify688.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

432×	`associate-/l/_binary64_6163`
251×	`distribute-lft-neg-out_binary64_6175`
250×	`associate-l_binary64_6157`
215×	`associate-r_binary64_6156`
209×	`distribute-rgt-neg-out_binary64_6176`
192×	`cancel-sign-sub-inv_binary64_6182`
182×	`distribute-rgt-neg-in_binary64_6174` `distribute-rgt-in_binary64_6166`
152×	`div-sub_binary64_6221`
148×	`distribute-lft-neg-in_binary64_6173`
144×	`distribute-lft-in_binary64_6165`
138×	`associate-/l*_binary64_6161`
127×	`*-commutative_binary64_6147`
112×	`neg-sub0_binary64_6211`
110×	`associate-*r/_binary64_6158`
100×	`sub-neg_binary64_6209`
98×	`associate-*l/_binary64_6159`
94×	`times-frac_binary64_6222` `neg-mul-1_binary64_6212`
64×	`distribute-neg-frac_binary64_6180` `distribute-rgt-out_binary64_6169`
60×	`log-prod_binary64_6302` `+-commutative_binary64_6146`
59×	`exp-prod_binary64_6268`
57×	`sqr-pow_binary64_6188`
56×	`distribute-frac-neg_binary64_6179`
53×	`cube-prod_binary64_6244`
48×	`*-rgt-identity_binary64_6206`
45×	`log-div_binary64_6303`
41×	`cube-div_binary64_6245` `associate-/r*_binary64_6160`
35×	`associate-+r+_binary64_6148`
34×	`distribute-lft-out_binary64_6167`
33×	`*-lft-identity_binary64_6205` `swap-sqr_binary64_6183` `distribute-neg-in_binary64_6177`
30×	`associate-+l+_binary64_6149`
29×	`associate-/r/_binary64_6162`
26×	`unsub-neg_binary64_6210`
24×	`distribute-rgt-out--_binary64_6170`
21×	`pow-sqr_binary64_6189`
20×	`unswap-sqr_binary64_6184`
18×	`/-rgt-identity_binary64_6207`
15×	`mul-1-neg_binary64_6208` `distribute-neg-out_binary64_6178`
12×	`unpow3_binary64_6282` `associate--r+_binary64_6152`
10×	`log-rec_binary64_6304`
9×	`remove-double-neg_binary64_6204` `distribute-lft-out--_binary64_6168`
8×	`pow-plus_binary64_6279` `cube-mult_binary64_6246` `distribute-rgt1-in_binary64_6172`
7×	`cube-unmult_binary64_6253` `div0_binary64_6197` `associate-+r-_binary64_6150`
6×	`exp-diff_binary64_6264` `difference-of-squares_binary64_6185` `associate-+l-_binary64_6151`
5×	`log-pow_binary64_6305` `sqr-neg_binary64_6230` `cancel-sign-sub_binary64_6181`
4×	`cube-neg_binary64_6243` `sub0-neg_binary64_6203`
3×	`pow-base-1_binary64_6276` `exp-neg_binary64_6263`
2×	`prod-exp_binary64_6265` `+-rgt-identity_binary64_6201` `distribute-lft1-in_binary64_6171` `associate--l+_binary64_6153`
1×	`unpow2_binary64_6281` `unpow1_binary64_6274` `exp-sqrt_binary64_6269` `div-exp_binary64_6267` `rec-exp_binary64_6266` `exp-sum_binary64_6262` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `rem-log-exp_binary64_6257` `rem-cbrt-cube_binary64_6240` `rem-sqrt-square_binary64_6229` `*-inverses_binary64_6196` `count-2_binary64_6164`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `unpow1/2_binary64_6280` `exp-to-pow_binary64_6278` `unpow0_binary64_6275` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-lft-sqr_binary64_6271` `exp-cbrt_binary64_6270` `e-exp-1_binary64_6261` `exp-0_binary64_6258` `rem-exp-log_binary64_6256` `rem-3cbrt-rft_binary64_6242` `rem-3cbrt-lft_binary64_6241` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `rem-square-sqrt_binary64_6228` `--rgt-identity_binary64_6202` `+-lft-identity_binary64_6200` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `associate--r-_binary64_6155` `associate--l-_binary64_6154`

Counts

182 → 425

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	2926
1	720	2671
2	2585	2562

prune550.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	422	3	425
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	428	6	434

Error

0.0b

Counts

434 → 6

Compiler

Compiled 9824 to 4055 computations (58.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 z) (neg.f64 t))
0.0b	(+.f64 (/.f64 (*.f64 x y) z) (/.f64 x (/.f64 (-.f64 1 z) (neg.f64 t))))
3.2b	(/.f64 x (/.f64 (-.f64 1 z) (neg.f64 t)))
5.2b	(/.f64 (*.f64 x y) z)

rewrite703.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

495×	`times-frac_binary64_6222`
374×	`*-un-lft-identity_binary64_6216`
372×	`add-sqr-sqrt_binary64_6238`
219×	`add-cube-cbrt_binary64_6251`
102×	`difference-of-squares_binary64_6185`
93×	`distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173`
77×	`associate-/r*_binary64_6160`
51×	`distribute-lft-out--_binary64_6168`
31×	`neg-mul-1_binary64_6212`
16×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
10×	`associate-/l*_binary64_6161`
7×	`div-inv_binary64_6213`
6×	`div-exp_binary64_6267` `add-log-exp_binary64_6255` `cbrt-undiv_binary64_6250`
4×	`pow1_binary64_6277`
3×	`frac-2neg_binary64_6227` `clear-num_binary64_6215`
2×	`associate-/l/_binary64_6163`
1×	`prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `associate-/r/_binary64_6162` `sum-log_binary64_6307` `frac-add_binary64_6224` `flip3-+_binary64_6219` `flip-+_binary64_6190` `distribute-lft-out_binary64_6167` `+-commutative_binary64_6146` `div-sub_binary64_6221` `flip3--_binary64_6220` `flip--_binary64_6191`

Counts

4 → 399

Calls

4 calls:

83.0ms	(+.f64 (/.f64 (*.f64 x y) z) (/.f64 x (/.f64 (-.f64 1 z) (neg.f64 t))))
17.0ms	(/.f64 x (/.f64 (-.f64 1 z) (neg.f64 t)))
11.0ms	(/.f64 (-.f64 1 z) (neg.f64 t))
4.0ms	(/.f64 (*.f64 x y) z)

Compiler

Compiled 10170 to 4439 computations (56.4% saved)

series1.1s (5.8%)

Error

0.0b

Counts

4 → 62

Calls

4 calls:

477.0ms	(+.f64 (/.f64 (*.f64 x y) z) (/.f64 x (/.f64 (-.f64 1 z) (neg.f64 t))))
249.0ms	(/.f64 x (/.f64 (-.f64 1 z) (neg.f64 t)))
153.0ms	(/.f64 (*.f64 x y) z)
138.0ms	(/.f64 (-.f64 1 z) (neg.f64 t))

Compiler

Compiled 2367 to 1454 computations (38.6% saved)

simplify751.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

521×	`associate-/r/_binary64_6162`
474×	`associate-/l*_binary64_6161`
453×	`associate-/l/_binary64_6163`
380×	`associate-*l/_binary64_6159`
298×	`associate-r_binary64_6156`
232×	`times-frac_binary64_6222`
223×	`associate-*r/_binary64_6158`
187×	`associate-/r*_binary64_6160`
135×	`distribute-rgt-neg-out_binary64_6176`
117×	`associate-l_binary64_6157`
80×	`div-sub_binary64_6221`
67×	`sub-neg_binary64_6209`
42×	`distribute-rgt-in_binary64_6166`
40×	`neg-sub0_binary64_6211`
36×	`neg-mul-1_binary64_6212`
34×	`distribute-lft-in_binary64_6165`
21×	`cancel-sign-sub-inv_binary64_6182` `+-commutative_binary64_6146`
20×	`*-commutative_binary64_6147`
19×	`distribute-frac-neg_binary64_6179`
18×	`distribute-neg-frac_binary64_6180` `distribute-rgt-neg-in_binary64_6174`
17×	`distribute-lft-neg-out_binary64_6175` `distribute-lft-neg-in_binary64_6173`
13×	`sqr-pow_binary64_6188`
12×	`/-rgt-identity_binary64_6207`
9×	`distribute-neg-in_binary64_6177` `distribute-lft-out_binary64_6167`
8×	`log-div_binary64_6303` `remove-double-div_binary64_6192`
7×	`cube-div_binary64_6245` `swap-sqr_binary64_6183` `associate-+r+_binary64_6148`
6×	`log-prod_binary64_6302` `unpow3_binary64_6282` `distribute-rgt-out_binary64_6169`
5×	`cube-unmult_binary64_6253` `cube-prod_binary64_6244` `mul-1-neg_binary64_6208` `pow-sqr_binary64_6189` `unswap-sqr_binary64_6184`
3×	`cube-mult_binary64_6246` `*-rgt-identity_binary64_6206` `distribute-rgt1-in_binary64_6172` `distribute-rgt-out--_binary64_6170`
2×	`prod-exp_binary64_6265` `unsub-neg_binary64_6210` `*-lft-identity_binary64_6205` `associate--r+_binary64_6152`
1×	`unpow2_binary64_6281` `pow-plus_binary64_6279` `exp-prod_binary64_6268` `div-exp_binary64_6267` `rec-exp_binary64_6266` `exp-diff_binary64_6264` `1-exp_binary64_6260` `sqr-neg_binary64_6230` `rem-sqrt-square_binary64_6229` `remove-double-neg_binary64_6204` `*-inverses_binary64_6196` `difference-of-squares_binary64_6185` `distribute-lft1-in_binary64_6171` `associate--r-_binary64_6155` `associate--l+_binary64_6153` `associate-+r-_binary64_6150`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `log-pow_binary64_6305` `log-rec_binary64_6304` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `unpow1/2_binary64_6280` `exp-to-pow_binary64_6278` `pow-base-1_binary64_6276` `unpow0_binary64_6275` `unpow1_binary64_6274` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-lft-sqr_binary64_6271` `exp-cbrt_binary64_6270` `exp-sqrt_binary64_6269` `exp-neg_binary64_6263` `exp-sum_binary64_6262` `e-exp-1_binary64_6261` `exp-1-e_binary64_6259` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-neg_binary64_6243` `rem-3cbrt-rft_binary64_6242` `rem-3cbrt-lft_binary64_6241` `rem-cbrt-cube_binary64_6240` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `rem-square-sqrt_binary64_6228` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-rgt-identity_binary64_6201` `+-lft-identity_binary64_6200` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `div0_binary64_6197` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `cancel-sign-sub_binary64_6181` `distribute-neg-out_binary64_6178` `distribute-lft-out--_binary64_6168` `count-2_binary64_6164` `associate--l-_binary64_6154` `associate-+l-_binary64_6151` `associate-+l+_binary64_6149`

Counts

461 → 1087

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	595	10705
1	1414	10442

prune2.3s (12.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1086	1	1087
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	1086	7	1093

Error

Counts

1093 → 7

Compiler

Compiled 28276 to 11429 computations (59.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (-.f64 1 z))
0.0b	(-.f64 (.f64 (/.f64 x z) y) (.f64 t (/.f64 x (-.f64 1 z))))
2.6b	(*.f64 t (/.f64 x (-.f64 1 z)))
4.3b	(*.f64 (/.f64 x z) y)

rewrite195.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

65×	`add-sqr-sqrt_binary64_6238`
55×	`*-un-lft-identity_binary64_6216`
47×	`times-frac_binary64_6222`
34×	`add-cube-cbrt_binary64_6251`
27×	`associate-r_binary64_6156`
16×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `associate-l_binary64_6157`
14×	`difference-of-squares_binary64_6185`
8×	`pow1_binary64_6277`
7×	`distribute-lft-out--_binary64_6168`
6×	`add-log-exp_binary64_6255` `associate-/r*_binary64_6160`
4×	`prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `associate-/r/_binary64_6162`
3×	`div-exp_binary64_6267` `cbrt-undiv_binary64_6250` `div-inv_binary64_6213` `flip3--_binary64_6220` `flip--_binary64_6191` `associate-/l*_binary64_6161`
2×	`pow-prod-down_binary64_6287` `associate-l/_binary64_6159` `-commutative_binary64_6147` `associate-*r/_binary64_6158`
1×	`diff-log_binary64_6308` `frac-sub_binary64_6225` `sub-neg_binary64_6209` `cancel-sign-sub-inv_binary64_6182` `frac-2neg_binary64_6227` `clear-num_binary64_6215`

Counts

4 → 129

Calls

4 calls:

15.0ms	(*.f64 t (/.f64 x (-.f64 1 z)))
7.0ms	(*.f64 (/.f64 x z) y)
6.0ms	(/.f64 x (-.f64 1 z))
6.0ms	(-.f64 (.f64 (/.f64 x z) y) (.f64 t (/.f64 x (-.f64 1 z))))

Compiler

Compiled 2750 to 1272 computations (53.7% saved)

series1.0s (5.6%)

Error

Counts

4 → 67

Calls

4 calls:

480.0ms	(-.f64 (.f64 (/.f64 x z) y) (.f64 t (/.f64 x (-.f64 1 z))))
217.0ms	(*.f64 t (/.f64 x (-.f64 1 z)))
156.0ms	(*.f64 (/.f64 x z) y)
123.0ms	(/.f64 x (-.f64 1 z))

Compiler

Compiled 2549 to 1535 computations (39.8% saved)

simplify493.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

356×	`associate-/l/_binary64_6163`
336×	`*-commutative_binary64_6147`
294×	`associate-/r/_binary64_6162`
241×	`div-sub_binary64_6221`
231×	`associate-/r*_binary64_6160`
157×	`cancel-sign-sub-inv_binary64_6182`
156×	`associate-l_binary64_6157`
140×	`distribute-rgt-in_binary64_6166`
137×	`distribute-rgt-neg-in_binary64_6174`
133×	`associate-*l/_binary64_6159`
125×	`associate-+l+_binary64_6149`
124×	`associate-r_binary64_6156`
120×	`associate-/l*_binary64_6161`
118×	`distribute-lft-neg-in_binary64_6173`
105×	`associate-*r/_binary64_6158`
101×	`+-commutative_binary64_6146`
96×	`associate-+r+_binary64_6148`
93×	`distribute-neg-frac_binary64_6180`
89×	`distribute-lft-in_binary64_6165`
78×	`log-prod_binary64_6302` `sub-neg_binary64_6209`
76×	`exp-prod_binary64_6268`
73×	`distribute-rgt-out_binary64_6169`
72×	`distribute-neg-in_binary64_6177`
71×	`cube-prod_binary64_6244`
69×	`associate--r+_binary64_6152`
64×	`neg-sub0_binary64_6211` `associate-+l-_binary64_6151`
61×	`neg-mul-1_binary64_6212`
53×	`log-div_binary64_6303`
51×	`cube-div_binary64_6245` `sqr-pow_binary64_6188`
50×	`*-rgt-identity_binary64_6206`
48×	`associate-+r-_binary64_6150`
46×	`times-frac_binary64_6222`
40×	`*-lft-identity_binary64_6205`
33×	`distribute-lft-out_binary64_6167`
32×	`unswap-sqr_binary64_6184`
28×	`exp-sum_binary64_6262` `unsub-neg_binary64_6210`
26×	`distribute-lft-neg-out_binary64_6175`
22×	`pow-sqr_binary64_6189`
19×	`pow-plus_binary64_6279` `associate--l+_binary64_6153`
18×	`unpow3_binary64_6282`
17×	`div-exp_binary64_6267` `/-rgt-identity_binary64_6207`
16×	`log-pow_binary64_6305` `prod-exp_binary64_6265`
15×	`exp-diff_binary64_6264`
14×	`cube-mult_binary64_6246`
13×	`swap-sqr_binary64_6183`
10×	`distribute-rgt-neg-out_binary64_6176` `associate--l-_binary64_6154`
9×	`exp-lft-sqr_binary64_6271`
8×	`difference-of-squares_binary64_6185` `distribute-rgt1-in_binary64_6172`
7×	`pow-base-1_binary64_6276`
6×	`log-rec_binary64_6304` `mul-1-neg_binary64_6208` `distribute-rgt-out--_binary64_6170`
4×	`rec-exp_binary64_6266`
3×	`cube-unmult_binary64_6253` `sqr-neg_binary64_6230` `distribute-lft-out--_binary64_6168` `associate--r-_binary64_6155`
2×	`exp-sqrt_binary64_6269` `cube-neg_binary64_6243` `rem-sqrt-square_binary64_6229` `+-rgt-identity_binary64_6201`
1×	`unpow2_binary64_6281` `unpow1_binary64_6274` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `rem-log-exp_binary64_6257` `remove-double-neg_binary64_6204` `div0_binary64_6197` `*-inverses_binary64_6196` `distribute-neg-out_binary64_6178` `distribute-lft1-in_binary64_6171` `count-2_binary64_6164`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `unpow1/2_binary64_6280` `exp-to-pow_binary64_6278` `unpow0_binary64_6275` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-cbrt_binary64_6270` `exp-neg_binary64_6263` `e-exp-1_binary64_6261` `exp-0_binary64_6258` `rem-exp-log_binary64_6256` `rem-3cbrt-rft_binary64_6242` `rem-3cbrt-lft_binary64_6241` `rem-cbrt-cube_binary64_6240` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `rem-square-sqrt_binary64_6228` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-lft-identity_binary64_6200` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `cancel-sign-sub_binary64_6181` `distribute-frac-neg_binary64_6179`

Counts

196 → 395

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	3017
1	643	2927
2	2161	2802
3	4563	2802

prune445.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	395	0	395
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	395	7	402

Error

Counts

402 → 7

Compiler

Compiled 8664 to 3286 computations (62.1% saved)

regimes1.2s (6.4%)

Accuracy

Total 0.6b remaining (99.6%)

Threshold costs 0.6b (99.6%)

Compiler

Compiled 7925 to 6377 computations (19.5% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64_6147`
15×	`+-commutative_binary64_6146`
13×	`sub-neg_binary64_6209`
9×	`neg-mul-1_binary64_6212` `neg-sub0_binary64_6211`
5×	`distribute-rgt-neg-in_binary64_6174`
4×	`cancel-sign-sub-inv_binary64_6182` `distribute-lft-neg-in_binary64_6173`
3×	`distribute-neg-frac_binary64_6180`
2×	`distribute-lft-neg-out_binary64_6175`
1×	`1-exp_binary64_6260` `unsub-neg_binary64_6210` `distribute-rgt-neg-out_binary64_6176`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `unpow1_binary64_6274` `e-exp-1_binary64_6261` `exp-1-e_binary64_6259` `exp-0_binary64_6258` `sqr-abs_binary64_6231` `sqr-neg_binary64_6230` `mul-1-neg_binary64_6208` `/-rgt-identity_binary64_6207` `-rgt-identity_binary64_6206` `-lft-identity_binary64_6205` `remove-double-neg_binary64_6204` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-rgt-identity_binary64_6201` `+-lft-identity_binary64_6200` `cancel-sign-sub_binary64_6181` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-neg-in_binary64_6177`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	160
1	66	158
2	91	158
3	114	158
4	125	158
5	128	158

Proof

(if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -1069073274559595916526249246057374213423740377633048657736001986928110228877688367004938505517285038166395528414428694899004609937132091385521507494201641229230352055147149747681155350528) (- f64 (* f64 (/ f64 h3 h1) h0) (* f64 h2 (/ f64 h3 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -2302418840839773/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (* f64 h3 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 0) (/ f64 (+ f64 (* f64 h3 h0) (* f64 h2 h3)) h1) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 1050429151673051901865190671730731882181174989332502731863630609642521651694098601814947273560430261028414086529888871301910318734822763179198499825761827401926148059482983909738158231210205143629824) (+ f64 (* f64 (/ f64 h0 h1) h3) (=> (* f64 (neg f64 (/ f64 h2 (- f64 1 h1))) h3))) (- f64 (/ f64 (* f64 h3 h0) h1) (/ f64 (* f64 h2 h3) (- f64 1 h1)))))))
distribute-lft-neg-out_binary64_6175 =>
(if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -1069073274559595916526249246057374213423740377633048657736001986928110228877688367004938505517285038166395528414428694899004609937132091385521507494201641229230352055147149747681155350528) (- f64 (* f64 (/ f64 h3 h1) h0) (* f64 h2 (/ f64 h3 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -2302418840839773/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (* f64 h3 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 0) (/ f64 (+ f64 (* f64 h3 h0) (* f64 h2 h3)) h1) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 1050429151673051901865190671730731882181174989332502731863630609642521651694098601814947273560430261028414086529888871301910318734822763179198499825761827401926148059482983909738158231210205143629824) (+ f64 (* f64 (/ f64 h0 h1) h3) (neg f64 (* f64 (/ f64 h2 (- f64 1 h1)) h3))) (- f64 (/ f64 (=> (* f64 h3 h0)) h1) (/ f64 (* f64 h2 h3) (- f64 1 h1)))))))
*-commutative_binary64_6147 =>
(if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -1069073274559595916526249246057374213423740377633048657736001986928110228877688367004938505517285038166395528414428694899004609937132091385521507494201641229230352055147149747681155350528) (- f64 (* f64 (/ f64 h3 h1) h0) (* f64 h2 (/ f64 h3 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -2302418840839773/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (* f64 h3 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 0) (/ f64 (+ f64 (=> (* f64 h3 h0)) (* f64 h2 h3)) h1) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 1050429151673051901865190671730731882181174989332502731863630609642521651694098601814947273560430261028414086529888871301910318734822763179198499825761827401926148059482983909738158231210205143629824) (+ f64 (* f64 (/ f64 h0 h1) h3) (neg f64 (* f64 (/ f64 h2 (- f64 1 h1)) h3))) (- f64 (/ f64 (* f64 h0 h3) h1) (/ f64 (* f64 h2 h3) (- f64 1 h1)))))))
*-commutative_binary64_6147 =>
(if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -1069073274559595916526249246057374213423740377633048657736001986928110228877688367004938505517285038166395528414428694899004609937132091385521507494201641229230352055147149747681155350528) (- f64 (* f64 (/ f64 h3 h1) h0) (* f64 h2 (/ f64 h3 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -2302418840839773/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (=> (* f64 h3 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 0) (/ f64 (+ f64 (* f64 h0 h3) (* f64 h2 h3)) h1) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 1050429151673051901865190671730731882181174989332502731863630609642521651694098601814947273560430261028414086529888871301910318734822763179198499825761827401926148059482983909738158231210205143629824) (+ f64 (* f64 (/ f64 h0 h1) h3) (neg f64 (* f64 (/ f64 h2 (- f64 1 h1)) h3))) (- f64 (/ f64 (* f64 h0 h3) h1) (/ f64 (* f64 h2 h3) (- f64 1 h1)))))))
*-commutative_binary64_6147 =>
(if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -1069073274559595916526249246057374213423740377633048657736001986928110228877688367004938505517285038166395528414428694899004609937132091385521507494201641229230352055147149747681155350528) (- f64 (=> (* f64 (/ f64 h3 h1) h0)) (* f64 h2 (/ f64 h3 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -2302418840839773/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (* f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) h3) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 0) (/ f64 (+ f64 (* f64 h0 h3) (* f64 h2 h3)) h1) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 1050429151673051901865190671730731882181174989332502731863630609642521651694098601814947273560430261028414086529888871301910318734822763179198499825761827401926148059482983909738158231210205143629824) (+ f64 (* f64 (/ f64 h0 h1) h3) (neg f64 (* f64 (/ f64 h2 (- f64 1 h1)) h3))) (- f64 (/ f64 (* f64 h0 h3) h1) (/ f64 (* f64 h2 h3) (- f64 1 h1)))))))
*-commutative_binary64_6147 =>
(if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -1069073274559595916526249246057374213423740377633048657736001986928110228877688367004938505517285038166395528414428694899004609937132091385521507494201641229230352055147149747681155350528) (- f64 (* f64 h0 (/ f64 h3 h1)) (* f64 h2 (/ f64 h3 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -2302418840839773/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (* f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) h3) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 0) (/ f64 (+ f64 (* f64 h0 h3) (* f64 h2 h3)) h1) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 1050429151673051901865190671730731882181174989332502731863630609642521651694098601814947273560430261028414086529888871301910318734822763179198499825761827401926148059482983909738158231210205143629824) (=> (+ f64 (* f64 (/ f64 h0 h1) h3) (neg f64 (* f64 (/ f64 h2 (- f64 1 h1)) h3)))) (- f64 (/ f64 (* f64 h0 h3) h1) (/ f64 (* f64 h2 h3) (- f64 1 h1)))))))
unsub-neg_binary64_6210 =>
(if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -1069073274559595916526249246057374213423740377633048657736001986928110228877688367004938505517285038166395528414428694899004609937132091385521507494201641229230352055147149747681155350528) (- f64 (* f64 h0 (/ f64 h3 h1)) (* f64 h2 (/ f64 h3 (- f64 1 h1)))) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) -2302418840839773/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (* f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) h3) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 0) (/ f64 (+ f64 (* f64 h0 h3) (* f64 h2 h3)) h1) (if real (<= f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (- f64 1 h1))) 1050429151673051901865190671730731882181174989332502731863630609642521651694098601814947273560430261028414086529888871301910318734822763179198499825761827401926148059482983909738158231210205143629824) (- f64 (* f64 (/ f64 h0 h1) h3) (* f64 (/ f64 h2 (- f64 1 h1)) h3)) (- f64 (/ f64 (* f64 h0 h3) h1) (/ f64 (* f64 h2 h3) (- f64 1 h1)))))))

end0.0ms (0%)

sample2.2s (11.8%)

Algorithm

1×

intervals

Results

550.0ms	8000×	body	128	valid
68.0ms	1790×	body	128	invalid

Compiler

Compiled 1411 to 1104 computations (21.8% saved)

Details

analyze658.0ms (3.6%)

sample25.0ms (0.1%)

simplify1.4s (7.4%)

prune3.0ms (0%)

localize8.0ms (0%)

rewrite278.0ms (1.5%)

series914.0ms (5%)

simplify1.1s (5.8%)

prune1.2s (6.6%)

localize13.0ms (0.1%)

rewrite183.0ms (1%)

series1.0s (5.7%)

simplify688.0ms (3.7%)

prune550.0ms (3%)

localize10.0ms (0.1%)

rewrite703.0ms (3.8%)

series1.1s (5.8%)

simplify751.0ms (4.1%)

prune2.3s (12.5%)

localize10.0ms (0.1%)

rewrite195.0ms (1.1%)

series1.0s (5.6%)

simplify493.0ms (2.7%)

prune445.0ms (2.4%)

regimes1.2s (6.4%)

bsearch3.0ms (0%)

simplify20.0ms (0.1%)

end0.0ms (0%)

sample2.2s (11.8%)

Profiling