Details

analyze717.0ms (3.5%)

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample25.0ms (0.1%)

Algorithm

1×

intervals

Results

9.0ms	248×	body	128	valid
2.0ms	52×	body	128	invalid
1.0ms	4×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify165.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

242×	`associate-+l+_binary64_6149`
176×	`associate-+r+_binary64_6148`
79×	`distribute-rgt-in_binary64_6166`
73×	`distribute-lft-in_binary64_6165`
32×	`+-commutative_binary64_6146`
25×	`*-commutative_binary64_6147`
19×	`distribute-rgt-out_binary64_6169`
6×	`count-2_binary64_6164` `associate-r_binary64_6156`
4×	`associate-l_binary64_6157`
1×	`distribute-lft-out_binary64_6167`
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` `pow-plus_binary64_6279` `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-prod_binary64_6268` `div-exp_binary64_6267` `rec-exp_binary64_6266` `prod-exp_binary64_6265` `exp-diff_binary64_6264` `exp-neg_binary64_6263` `exp-sum_binary64_6262` `e-exp-1_binary64_6261` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-unmult_binary64_6253` `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` `sqr-neg_binary64_6230` `rem-sqrt-square_binary64_6229` `rem-square-sqrt_binary64_6228` `times-frac_binary64_6222` `div-sub_binary64_6221` `neg-mul-1_binary64_6212` `neg-sub0_binary64_6211` `unsub-neg_binary64_6210` `sub-neg_binary64_6209` `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` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `div0_binary64_6197` `-inverses_binary64_6196` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `pow-sqr_binary64_6189` `sqr-pow_binary64_6188` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `difference-of-squares_binary64_6185` `unswap-sqr_binary64_6184` `swap-sqr_binary64_6183` `cancel-sign-sub-inv_binary64_6182` `cancel-sign-sub_binary64_6181` `distribute-neg-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-neg-in_binary64_6177` `distribute-rgt-neg-out_binary64_6176` `distribute-lft-neg-out_binary64_6175` `distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173` `distribute-rgt1-in_binary64_6172` `distribute-lft1-in_binary64_6171` `distribute-rgt-out--_binary64_6170` `distribute-lft-out--_binary64_6168` `associate-/l/_binary64_6163` `associate-/r/_binary64_6162` `associate-/l_binary64_6161` `associate-/r_binary64_6160` `associate-l/_binary64_6159` `associate-*r/_binary64_6158` `associate--r-_binary64_6155` `associate--l-_binary64_6154` `associate--l+_binary64_6153` `associate--r+_binary64_6152` `associate-+l-_binary64_6151` `associate-+r-_binary64_6150`

Counts

1 → 3

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	31	19
2	83	19
3	206	19
4	376	19
5	424	19
6	428	19

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.3b

Counts

4 → 1

Compiler

Compiled 54 to 37 computations (31.5% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 2 (+.f64 y z)) t)) (*.f64 y 5))
0.3b	(.f64 x (+.f64 (.f64 2 (+.f64 y z)) t))

rewrite71.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

6×	`add-sqr-sqrt_binary64_6238`
4×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
3×	`associate-l_binary64_6157` `associate-r_binary64_6156`
2×	`distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `flip3-+_binary64_6219` `associate-*r/_binary64_6158` `flip-+_binary64_6190` `associate-+l+_binary64_6149`
1×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `*-commutative_binary64_6147` `sum-log_binary64_6307` `+-commutative_binary64_6146`

Counts

2 → 35

Calls

2 calls:

10.0ms	(+.f64 (.f64 x (+.f64 (.f64 2 (+.f64 y z)) t)) (*.f64 y 5))
10.0ms	(.f64 x (+.f64 (.f64 2 (+.f64 y z)) t))

Compiler

Compiled 816 to 464 computations (43.1% saved)

series885.0ms (4.3%)

Error

0.0b

Counts

2 → 45

Calls

2 calls:

497.0ms	(+.f64 (.f64 x (+.f64 (.f64 2 (+.f64 y z)) t)) (*.f64 y 5))
344.0ms	(.f64 x (+.f64 (.f64 2 (+.f64 y z)) t))

Compiler

Compiled 1686 to 1274 computations (24.4% saved)

simplify245.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

510×	`associate-+l+_binary64_6149`
411×	`associate-+r+_binary64_6148`
340×	`distribute-neg-in_binary64_6177`
296×	`cancel-sign-sub-inv_binary64_6182`
286×	`sub-neg_binary64_6209`
264×	`*-commutative_binary64_6147`
234×	`unswap-sqr_binary64_6184`
210×	`+-commutative_binary64_6146`
188×	`times-frac_binary64_6222`
179×	`distribute-rgt-neg-in_binary64_6174`
170×	`sqr-pow_binary64_6188`
163×	`distribute-lft-neg-in_binary64_6173`
133×	`associate-l_binary64_6157`
116×	`associate-r_binary64_6156`
112×	`unsub-neg_binary64_6210`
102×	`exp-prod_binary64_6268`
97×	`distribute-rgt-in_binary64_6166`
95×	`neg-mul-1_binary64_6212`
91×	`neg-sub0_binary64_6211` `distribute-lft-in_binary64_6165`
90×	`distribute-rgt-out_binary64_6169`
83×	`associate--l+_binary64_6153`
81×	`exp-sum_binary64_6262`
78×	`associate--r+_binary64_6152`
70×	`associate-+l-_binary64_6151`
64×	`pow-sqr_binary64_6189`
47×	`associate-+r-_binary64_6150`
39×	`sub0-neg_binary64_6203`
37×	`+-rgt-identity_binary64_6201`
29×	`*-rgt-identity_binary64_6206`
28×	`*-lft-identity_binary64_6205`
25×	`distribute-rgt-out--_binary64_6170`
20×	`swap-sqr_binary64_6183` `associate-/r*_binary64_6160`
19×	`cube-prod_binary64_6244`
18×	`distribute-lft-neg-out_binary64_6175`
16×	`prod-exp_binary64_6265` `associate--r-_binary64_6155`
15×	`distribute-lft-out_binary64_6167`
14×	`log-prod_binary64_6302`
11×	`unpow3_binary64_6282` `pow-plus_binary64_6279`
10×	`associate-/l*_binary64_6161`
9×	`cube-mult_binary64_6246`
8×	`exp-lft-sqr_binary64_6271` `/-rgt-identity_binary64_6207`
6×	`cancel-sign-sub_binary64_6181` `associate-/l/_binary64_6163`
5×	`log-pow_binary64_6305` `distribute-lft-out--_binary64_6168`
4×	`difference-of-squares_binary64_6185` `associate-*r/_binary64_6158`
3×	`pow-base-1_binary64_6276`
2×	`distribute-rgt-neg-out_binary64_6176`
1×	`div-exp_binary64_6267` `rec-exp_binary64_6266` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `rem-log-exp_binary64_6257` `cube-unmult_binary64_6253` `remove-double-neg_binary64_6204` `-inverses_binary64_6196` `count-2_binary64_6164` `associate-l/_binary64_6159`
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-rec_binary64_6304` `log-div_binary64_6303` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `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` `exp-diff_binary64_6264` `exp-neg_binary64_6263` `e-exp-1_binary64_6261` `exp-0_binary64_6258` `rem-exp-log_binary64_6256` `cube-div_binary64_6245` `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` `sqr-neg_binary64_6230` `rem-sqrt-square_binary64_6229` `rem-square-sqrt_binary64_6228` `div-sub_binary64_6221` `mul-1-neg_binary64_6208` `--rgt-identity_binary64_6202` `+-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` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `distribute-neg-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-rgt1-in_binary64_6172` `distribute-lft1-in_binary64_6171` `associate-/r/_binary64_6162` `associate--l-_binary64_6154`

Counts

80 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1432
1	305	1276
2	1076	1267
3	1964	1267
4	4066	1267

prune163.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	5	123

Error

0.0b

Counts

123 → 5

Compiler

Compiled 2801 to 1619 computations (42.2% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 (.f64 2 x) y) (.f64 t x)) (+.f64 (.f64 (.f64 2 x) z) (.f64 y 5)))
0.0b	(+.f64 (.f64 (.f64 2 x) y) (*.f64 t x))
0.0b	(+.f64 (.f64 (.f64 2 x) z) (*.f64 y 5))

rewrite111.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_6255`
10×	`sum-log_binary64_6307`
7×	`flip3-+_binary64_6219` `flip-+_binary64_6190`
5×	`*-un-lft-identity_binary64_6216`
4×	`frac-add_binary64_6224`
3×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `+-commutative_binary64_6146`
1×	`distribute-lft-out_binary64_6167` `associate-+l+_binary64_6149` `associate-+r+_binary64_6148`

Counts

3 → 43

Calls

3 calls:

14.0ms	(+.f64 (+.f64 (.f64 (.f64 2 x) y) (.f64 t x)) (+.f64 (.f64 (.f64 2 x) z) (.f64 y 5)))
5.0ms	(+.f64 (.f64 (.f64 2 x) y) (*.f64 t x))
5.0ms	(+.f64 (.f64 (.f64 2 x) z) (*.f64 y 5))

Compiler

Compiled 1671 to 1019 computations (39% saved)

series1.1s (5.2%)

Error

0.0b

Counts

3 → 57

Calls

3 calls:

574.0ms	(+.f64 (+.f64 (.f64 (.f64 2 x) y) (.f64 t x)) (+.f64 (.f64 (.f64 2 x) z) (.f64 y 5)))
222.0ms	(+.f64 (.f64 (.f64 2 x) z) (*.f64 y 5))
214.0ms	(+.f64 (.f64 (.f64 2 x) y) (*.f64 t x))

Compiler

Compiled 2298 to 1706 computations (25.8% saved)

simplify397.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

956×	`distribute-rgt-in_binary64_6166`
906×	`distribute-lft-in_binary64_6165`
261×	`cancel-sign-sub-inv_binary64_6182`
176×	`associate-l_binary64_6157`
163×	`associate-r_binary64_6156`
139×	`distribute-rgt-neg-in_binary64_6174`
121×	`distribute-lft-neg-in_binary64_6173`
73×	`*-commutative_binary64_6147`
72×	`distribute-rgt-out_binary64_6169`
59×	`sub-neg_binary64_6209`
58×	`sqr-pow_binary64_6188`
49×	`distribute-lft-out_binary64_6167`
45×	`distribute-lft-neg-out_binary64_6175`
42×	`+-commutative_binary64_6146`
40×	`associate-+l+_binary64_6149`
37×	`neg-mul-1_binary64_6212` `neg-sub0_binary64_6211`
33×	`unswap-sqr_binary64_6184` `distribute-rgt-out--_binary64_6170`
32×	`associate-+r+_binary64_6148`
29×	`distribute-rgt-neg-out_binary64_6176`
26×	`distribute-neg-in_binary64_6177`
24×	`exp-prod_binary64_6268` `cube-prod_binary64_6244` `swap-sqr_binary64_6183`
22×	`pow-sqr_binary64_6189`
21×	`distribute-lft-out--_binary64_6168`
15×	`unpow3_binary64_6282` `prod-exp_binary64_6265` `cube-mult_binary64_6246`
12×	`associate--r+_binary64_6152`
10×	`associate--l+_binary64_6153`
9×	`unsub-neg_binary64_6210`
6×	`exp-sum_binary64_6262`
3×	`exp-lft-sqr_binary64_6271` `difference-of-squares_binary64_6185` `associate-+l-_binary64_6151` `associate-+r-_binary64_6150`
2×	`log-prod_binary64_6302`
1×	`cube-unmult_binary64_6253`
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` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `unpow2_binary64_6281` `unpow1/2_binary64_6280` `pow-plus_binary64_6279` `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-cbrt_binary64_6270` `exp-sqrt_binary64_6269` `div-exp_binary64_6267` `rec-exp_binary64_6266` `exp-diff_binary64_6264` `exp-neg_binary64_6263` `e-exp-1_binary64_6261` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-div_binary64_6245` `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` `sqr-neg_binary64_6230` `rem-sqrt-square_binary64_6229` `rem-square-sqrt_binary64_6228` `times-frac_binary64_6222` `div-sub_binary64_6221` `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` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `div0_binary64_6197` `-inverses_binary64_6196` `+-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-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-rgt1-in_binary64_6172` `distribute-lft1-in_binary64_6171` `count-2_binary64_6164` `associate-/l/_binary64_6163` `associate-/r/_binary64_6162` `associate-/l_binary64_6161` `associate-/r_binary64_6160` `associate-l/_binary64_6159` `associate-*r/_binary64_6158` `associate--r-_binary64_6155` `associate--l-_binary64_6154`

Counts

100 → 324

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	2516
1	403	2240
2	1767	2018

prune983.0ms (4.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	324	0	324
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	324	5	329

Error

0.0b

Counts

329 → 5

Compiler

Compiled 14135 to 8394 computations (40.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
0.3b	(.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)
0.3b	(.f64 x (+.f64 (.f64 2 (+.f64 y z)) t))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 2 (+.f64 y z)) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5))))

rewrite275.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64_6238`
14×	`sqrt-div_binary64_6233`
13×	`pow1_binary64_6277` `add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216` `sqrt-prod_binary64_6232`
12×	`associate-l_binary64_6157` `associate-r_binary64_6156`
10×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
9×	`flip3-+_binary64_6219` `flip-+_binary64_6190`
6×	`unswap-sqr_binary64_6184`
5×	`pow-prod-down_binary64_6287`
4×	`add-log-exp_binary64_6255` `frac-times_binary64_6226` `associate-l/_binary64_6159` `associate-r/_binary64_6158`
3×	`pow1/2_binary64_6296` `sqrt-pow1_binary64_6234` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`
1×	`sqrt-unprod_binary64_6236` `distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `rem-sqrt-square_binary64_6229`

Counts

4 → 95

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 2 (+.f64 y z)) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5))))
13.0ms	(.f64 x (+.f64 (.f64 2 (+.f64 y z)) t))
6.0ms	(.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)
6.0ms	(sqrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))

Compiler

Compiled 4396 to 2629 computations (40.2% saved)

series1.8s (8.7%)

Error

0.0b

Counts

4 → 83

Calls

4 calls:

548.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 2 (+.f64 y z)) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5))))
416.0ms	(sqrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
355.0ms	(.f64 x (+.f64 (.f64 2 (+.f64 y z)) t))
347.0ms	(.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)

Compiler

Compiled 6445 to 4593 computations (28.7% saved)

simplify1.0s (5%)

Algorithm

1×	egg-herbie

Rules

622×	`times-frac_binary64_6222`
247×	`associate-l_binary64_6157`
226×	`associate-r_binary64_6156`
196×	`associate-+l+_binary64_6149`
192×	`associate-+r+_binary64_6148`
157×	`sub-neg_binary64_6209`
138×	`cancel-sign-sub-inv_binary64_6182` `distribute-rgt-in_binary64_6166`
131×	`distribute-lft-in_binary64_6165`
119×	`*-commutative_binary64_6147`
115×	`distribute-rgt-neg-in_binary64_6174`
106×	`+-commutative_binary64_6146`
105×	`associate-*l/_binary64_6159`
103×	`exp-prod_binary64_6268`
102×	`neg-mul-1_binary64_6212` `neg-sub0_binary64_6211` `associate-*r/_binary64_6158`
98×	`distribute-lft-neg-in_binary64_6173`
72×	`exp-sum_binary64_6262`
66×	`unsub-neg_binary64_6210`
56×	`sqr-pow_binary64_6188`
49×	`associate--r+_binary64_6152`
46×	`associate-/l*_binary64_6161`
42×	`exp-sqrt_binary64_6269`
37×	`*-rgt-identity_binary64_6206`
36×	`distribute-neg-in_binary64_6177`
35×	`unswap-sqr_binary64_6184`
33×	`associate--l+_binary64_6153`
31×	`*-lft-identity_binary64_6205`
29×	`log-prod_binary64_6302` `cube-prod_binary64_6244` `distribute-rgt-out_binary64_6169`
24×	`pow-sqr_binary64_6189`
20×	`cube-div_binary64_6245` `distribute-lft-neg-out_binary64_6175`
19×	`associate-/r/_binary64_6162`
16×	`swap-sqr_binary64_6183`
15×	`associate-+r-_binary64_6150`
14×	`log-div_binary64_6303` `unpow3_binary64_6282` `distribute-lft-out_binary64_6167`
13×	`associate-/r*_binary64_6160`
12×	`cube-mult_binary64_6246` `associate-/l/_binary64_6163`
11×	`rem-sqrt-square_binary64_6229`
10×	`pow-plus_binary64_6279`
9×	`distribute-rgt-out--_binary64_6170` `associate-+l-_binary64_6151`
8×	`exp-lft-sqr_binary64_6271`
7×	`rem-square-sqrt_binary64_6228`
5×	`distribute-rgt-neg-out_binary64_6176`
4×	`prod-exp_binary64_6265` `difference-of-squares_binary64_6185`
3×	`log-pow_binary64_6305` `cube-unmult_binary64_6253` `distribute-lft-out--_binary64_6168`
2×	`unpow2_binary64_6281` `pow-base-1_binary64_6276` `unpow1_binary64_6274` `/-rgt-identity_binary64_6207`
1×	`div-exp_binary64_6267` `rec-exp_binary64_6266` `exp-diff_binary64_6264` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `rem-log-exp_binary64_6257` `*-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` `log-rec_binary64_6304` `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` `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` `sqr-neg_binary64_6230` `div-sub_binary64_6221` `mul-1-neg_binary64_6208` `remove-double-neg_binary64_6204` `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` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `cancel-sign-sub_binary64_6181` `distribute-neg-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-rgt1-in_binary64_6172` `distribute-lft1-in_binary64_6171` `associate--r-_binary64_6155` `associate--l-_binary64_6154`

Counts

178 → 316

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	4495
1	515	4010
2	1831	3847
3	3700	3847

prune932.0ms (4.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	316	5	321

Error

0.0b

Counts

321 → 5

Compiler

Compiled 14793 to 8786 computations (40.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (.f64 t t))) (-.f64 (.f64 2 (+.f64 y z)) t)) (*.f64 y 5))
4.2b	(-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (.f64 t t))
11.2b	(.f64 x (-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (*.f64 t t)))
24.1b	(/.f64 (.f64 x (-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (.f64 t t))) (-.f64 (.f64 2 (+.f64 y z)) t))

rewrite262.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165`
12×	`associate--l+_binary64_6153`
11×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
10×	`add-sqr-sqrt_binary64_6238`
8×	`add-log-exp_binary64_6255` `add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
6×	`pow1_binary64_6277`
4×	`flip3--_binary64_6220` `associate-r/_binary64_6158` `flip--_binary64_6191` `associate-r*_binary64_6156`
3×	`times-frac_binary64_6222` `associate-/r_binary64_6160` `sub-neg_binary64_6209` `cancel-sign-sub-inv_binary64_6182` `associate-l*_binary64_6157`
2×	`prod-exp_binary64_6265` `div-exp_binary64_6267` `cbrt-undiv_binary64_6250` `cbrt-unprod_binary64_6249` `associate-/l/_binary64_6163` `associate-/r/_binary64_6162` `difference-of-squares_binary64_6185`
1×	`frac-2neg_binary64_6227` `clear-num_binary64_6215` `div-inv_binary64_6213` `associate-/l_binary64_6161` `pow-prod-down_binary64_6287` `unswap-sqr_binary64_6184` `-commutative_binary64_6147` `diff-log_binary64_6308` `sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146`

Counts

4 → 86

Calls

4 calls:

27.0ms	(/.f64 (.f64 x (-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (.f64 t t))) (-.f64 (.f64 2 (+.f64 y z)) t))
21.0ms	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (.f64 t t))) (-.f64 (.f64 2 (+.f64 y z)) t)) (*.f64 y 5))
18.0ms	(.f64 x (-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (*.f64 t t)))
14.0ms	(-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (.f64 t t))

Compiler

Compiled 3895 to 1950 computations (49.9% saved)

series7.2s (35.4%)

Error

0.0b

Counts

4 → 98

Calls

4 calls:

4.4s	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (.f64 t t))) (-.f64 (.f64 2 (+.f64 y z)) t)) (*.f64 y 5))
1.3s	(/.f64 (.f64 x (-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (.f64 t t))) (-.f64 (.f64 2 (+.f64 y z)) t))
862.0ms	(.f64 x (-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (*.f64 t t)))
523.0ms	(-.f64 (.f64 (.f64 2 (+.f64 z y)) (.f64 2 (+.f64 z y))) (.f64 t t))

Compiler

Compiled 9061 to 6710 computations (25.9% saved)

simplify816.0ms (4%)

Algorithm

1×	egg-herbie

Rules

341×	`associate-r_binary64_6156`
323×	`associate-l_binary64_6157`
313×	`associate-/l*_binary64_6161`
287×	`times-frac_binary64_6222`
250×	`div-sub_binary64_6221`
153×	`associate-/r*_binary64_6160`
148×	`+-commutative_binary64_6146`
139×	`*-commutative_binary64_6147`
132×	`associate-+r+_binary64_6148`
114×	`associate-+l+_binary64_6149`
109×	`distribute-rgt-in_binary64_6166`
98×	`distribute-lft-in_binary64_6165`
97×	`associate-*l/_binary64_6159`
85×	`associate--l+_binary64_6153`
76×	`sub-neg_binary64_6209`
64×	`associate-*r/_binary64_6158`
60×	`cancel-sign-sub-inv_binary64_6182`
49×	`exp-prod_binary64_6268`
47×	`associate-/r/_binary64_6162`
42×	`cube-prod_binary64_6244` `associate-/l/_binary64_6163`
41×	`associate--r+_binary64_6152`
36×	`sqr-pow_binary64_6188`
33×	`log-div_binary64_6303`
32×	`cube-div_binary64_6245`
29×	`distribute-rgt-neg-in_binary64_6174`
25×	`neg-sub0_binary64_6211`
24×	`unswap-sqr_binary64_6184`
23×	`pow-plus_binary64_6279` `neg-mul-1_binary64_6212` `distribute-lft-neg-in_binary64_6173`
22×	`unpow3_binary64_6282` `exp-sum_binary64_6262`
21×	`log-prod_binary64_6302`
18×	`cube-mult_binary64_6246`
17×	`pow-sqr_binary64_6189`
14×	`swap-sqr_binary64_6183`
13×	`distribute-neg-frac_binary64_6180` `distribute-neg-in_binary64_6177`
12×	`difference-of-squares_binary64_6185`
11×	`associate-+r-_binary64_6150`
8×	`distribute-rgt-out_binary64_6169`
7×	`distribute-lft-neg-out_binary64_6175`
6×	`unpow2_binary64_6281` `unpow1_binary64_6274` `exp-lft-sqr_binary64_6271`
5×	`cube-unmult_binary64_6253`
4×	`log-rec_binary64_6304`
3×	`prod-exp_binary64_6265` `exp-diff_binary64_6264` `mul-1-neg_binary64_6208`
2×	`div-exp_binary64_6267` `/-rgt-identity_binary64_6207` `*-inverses_binary64_6196` `distribute-rgt-neg-out_binary64_6176` `distribute-rgt-out--_binary64_6170`
1×	`pow-base-1_binary64_6276` `exp-sqrt_binary64_6269` `rec-exp_binary64_6266` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `rem-log-exp_binary64_6257` `*-rgt-identity_binary64_6206` `distribute-lft-out_binary64_6167` `associate--r-_binary64_6155` `associate-+l-_binary64_6151`
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` `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` `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` `sqr-neg_binary64_6230` `rem-sqrt-square_binary64_6229` `rem-square-sqrt_binary64_6228` `unsub-neg_binary64_6210` `*-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` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `div0_binary64_6197` `+-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` `distribute-neg-out_binary64_6178` `distribute-rgt1-in_binary64_6172` `distribute-lft1-in_binary64_6171` `distribute-lft-out--_binary64_6168` `count-2_binary64_6164` `associate--l-_binary64_6154`

Counts

184 → 378

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	351	6468
1	992	6108
2	4818	6108

prune821.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	378	5	383

Error

0.0b

Counts

383 → 5

Compiler

Compiled 14690 to 7656 computations (47.9% saved)

regimes617.0ms (3%)

Accuracy

Total 0.0b remaining (73.8%)

Threshold costs 0.0b (73.8%)

Compiler

Compiled 6518 to 5451 computations (16.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_6147`
3×	`+-commutative_binary64_6146`
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` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `exp-0_binary64_6258` `sqr-abs_binary64_6231` `sqr-neg_binary64_6230` `neg-mul-1_binary64_6212` `neg-sub0_binary64_6211` `unsub-neg_binary64_6210` `sub-neg_binary64_6209` `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-inv_binary64_6182` `cancel-sign-sub_binary64_6181` `distribute-neg-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-neg-in_binary64_6177` `distribute-rgt-neg-out_binary64_6176` `distribute-lft-neg-out_binary64_6175` `distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	21	22

Proof

(+ f64 (+ f64 (* f64 (* f64 2 h0) (+ f64 h1 h2)) (=> (* f64 h3 h0))) (* f64 h2 5))
*-commutative_binary64_6147 =>
(+ f64 (+ f64 (* f64 (* f64 2 h0) (+ f64 h1 h2)) (* f64 h0 h3)) (* f64 h2 5))

end0.0ms (0%)

sample1.8s (8.8%)

Algorithm

1×

intervals

Results

288.0ms	7730×	body	128	valid
74.0ms	1880×	body	128	invalid
23.0ms	120×	body	1024	valid
10.0ms	97×	body	512	valid
4.0ms	53×	body	256	valid

Compiler

Compiled 1327 to 1109 computations (16.4% saved)

Details

analyze717.0ms (3.5%)

sample25.0ms (0.1%)

simplify165.0ms (0.8%)

prune5.0ms (0%)

localize9.0ms (0%)

rewrite71.0ms (0.3%)

series885.0ms (4.3%)

simplify245.0ms (1.2%)

prune163.0ms (0.8%)

localize11.0ms (0.1%)

rewrite111.0ms (0.5%)

series1.1s (5.2%)

simplify397.0ms (1.9%)

prune983.0ms (4.8%)

localize18.0ms (0.1%)

rewrite275.0ms (1.3%)

series1.8s (8.7%)

simplify1.0s (5%)

prune932.0ms (4.6%)

localize16.0ms (0.1%)

rewrite262.0ms (1.3%)

series7.2s (35.4%)

simplify816.0ms (4%)

prune821.0ms (4%)

regimes617.0ms (3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (8.8%)

Profiling