Details

analyze231.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample22.0ms (0.1%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify900.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

514×	`exp-prod_binary64_6609`
474×	`swap-sqr_binary64_6524`
350×	`distribute-rgt-neg-in_binary64_6515`
305×	`exp-sum_binary64_6603`
279×	`*-commutative_binary64_6488`
256×	`distribute-rgt-in_binary64_6507`
249×	`neg-mul-1_binary64_6553`
245×	`neg-sub0_binary64_6552`
197×	`unsub-neg_binary64_6551`
174×	`pow-plus_binary64_6620`
166×	`distribute-rgt-out_binary64_6510`
161×	`associate-r_binary64_6497` `associate-+l+_binary64_6490`
154×	`distribute-rgt1-in_binary64_6513`
147×	`sub-neg_binary64_6550`
141×	`distribute-lft-in_binary64_6506`
139×	`distribute-lft-neg-in_binary64_6514`
128×	`distribute-rgt-out--_binary64_6511` `associate--r+_binary64_6493`
118×	`associate-+r+_binary64_6489`
102×	`associate--l+_binary64_6494`
97×	`cancel-sign-sub-inv_binary64_6523`
94×	`exp-diff_binary64_6605` `associate-l_binary64_6498`
90×	`associate-+l-_binary64_6492`
76×	`+-commutative_binary64_6487`
66×	`div-sub_binary64_6562`
60×	`distribute-lft-out_binary64_6508`
58×	`associate-+r-_binary64_6491`
56×	`distribute-lft-out--_binary64_6509`
40×	`associate--r-_binary64_6496`
34×	`associate--l-_binary64_6495`
28×	`distribute-lft-neg-out_binary64_6516`
25×	`sqr-neg_binary64_6571`
19×	`distribute-neg-in_binary64_6518` `distribute-rgt-neg-out_binary64_6517`
17×	`exp-lft-sqr_binary64_6612`
14×	`distribute-lft1-in_binary64_6512`
12×	`exp-neg_binary64_6604`
11×	`+-inverses_binary64_6536` `count-2_binary64_6505`
8×	`mul0-lft_binary64_6539`
7×	`cube-prod_binary64_6585` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `distribute-neg-out_binary64_6519`
6×	`cube-unmult_binary64_6594` `mul0-rgt_binary64_6540`
5×	`--rgt-identity_binary64_6543` `+-lft-identity_binary64_6541`
4×	`+-rgt-identity_binary64_6542`
2×	`cube-neg_binary64_6584` `difference-of-squares_binary64_6526` `unswap-sqr_binary64_6525` `associate-/r*_binary64_6501`
1×	`1-exp_binary64_6601`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `log-pow_binary64_6646` `log-rec_binary64_6645` `log-div_binary64_6644` `log-prod_binary64_6643` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow3_binary64_6623` `unpow2_binary64_6622` `unpow1/2_binary64_6621` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow1_binary64_6615` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-cbrt_binary64_6611` `exp-sqrt_binary64_6610` `div-exp_binary64_6608` `rec-exp_binary64_6607` `prod-exp_binary64_6606` `e-exp-1_binary64_6602` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-mult_binary64_6587` `cube-div_binary64_6586` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `times-frac_binary64_6563` `mul-1-neg_binary64_6549` `/-rgt-identity_binary64_6548` `-rgt-identity_binary64_6547` `-lft-identity_binary64_6546` `div0_binary64_6538` `-inverses_binary64_6537` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `pow-sqr_binary64_6530` `sqr-pow_binary64_6529` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `cancel-sign-sub_binary64_6522` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `associate-/l/_binary64_6504` `associate-/r/_binary64_6503` `associate-/l_binary64_6502` `associate-l/_binary64_6500` `associate-r/_binary64_6499`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	19	18
2	29	18
3	41	18
4	62	18
5	84	18
6	171	18
7	1153	18
8	3678	18

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

2.7b

Counts

1 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.4b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
8.0b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

rewrite143.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

16×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
14×	`add-cube-cbrt_binary64_6592`
9×	`times-frac_binary64_6563`
8×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593`
7×	`add-exp-log_binary64_6595`
6×	`pow1_binary64_6618`
3×	`associate-/l_binary64_6502` `associate-/r_binary64_6501` `associate-l_binary64_6498` `associate-r_binary64_6497`
2×	`flip3--_binary64_6561` `associate-/r/_binary64_6503` `flip--_binary64_6532`
1×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568` `clear-num_binary64_6556` `div-inv_binary64_6554` `diff-log_binary64_6649` `sub-neg_binary64_6550` `cancel-sign-sub-inv_binary64_6523` `pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488` `sum-log_binary64_6648` `flip3-+_binary64_6560` `flip-+_binary64_6531` `distribute-lft-out_binary64_6508` `+-commutative_binary64_6487`

Counts

4 → 71

Calls

4 calls:

10.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
7.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
6.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))

Compiler

Compiled 1547 to 746 computations (51.8% saved)

series1.1s (6%)

Error

0.0b

Counts

4 → 75

Calls

4 calls:

394.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
392.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
205.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
34.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

Compiler

Compiled 3212 to 2336 computations (27.3% saved)

simplify608.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-/l*_binary64_6502`
321×	`associate-/r*_binary64_6501`
249×	`associate-*l/_binary64_6500`
219×	`cancel-sign-sub-inv_binary64_6523`
217×	`associate-*r/_binary64_6499`
185×	`associate-+l+_binary64_6490`
160×	`associate-/r/_binary64_6503`
135×	`associate-/l/_binary64_6504`
134×	`distribute-rgt-in_binary64_6507`
106×	`distribute-rgt-neg-in_binary64_6515`
102×	`associate-l_binary64_6498`
96×	`distribute-lft-in_binary64_6506`
95×	`associate-r_binary64_6497`
93×	`sub-neg_binary64_6550`
90×	`distribute-lft-neg-in_binary64_6514`
79×	`distribute-neg-frac_binary64_6521`
78×	`associate--r+_binary64_6493`
76×	`associate-+l-_binary64_6492`
74×	`associate--l+_binary64_6494`
70×	`times-frac_binary64_6563` `sqr-pow_binary64_6529`
61×	`*-commutative_binary64_6488`
59×	`+-commutative_binary64_6487`
49×	`neg-mul-1_binary64_6553`
48×	`neg-sub0_binary64_6552`
47×	`unswap-sqr_binary64_6525`
46×	`distribute-neg-in_binary64_6518`
44×	`associate-+r-_binary64_6491`
32×	`pow-sqr_binary64_6530`
28×	`associate-+r+_binary64_6489`
26×	`distribute-rgt-out_binary64_6510`
25×	`prod-exp_binary64_6606`
23×	`distribute-lft-neg-out_binary64_6516`
21×	`unsub-neg_binary64_6551`
20×	`div-sub_binary64_6562`
19×	`exp-prod_binary64_6609`
17×	`*-rgt-identity_binary64_6547`
15×	`pow-plus_binary64_6620`
13×	`distribute-lft-out_binary64_6508` `associate--l-_binary64_6495`
12×	`*-lft-identity_binary64_6546`
11×	`unpow3_binary64_6623`
10×	`log-prod_binary64_6643` `div-exp_binary64_6608` `cube-prod_binary64_6585`
8×	`cube-mult_binary64_6587`
7×	`swap-sqr_binary64_6524`
6×	`log-div_binary64_6644` `cube-div_binary64_6586` `+-rgt-identity_binary64_6542` `difference-of-squares_binary64_6526` `distribute-rgt-neg-out_binary64_6517` `distribute-rgt-out--_binary64_6511`
5×	`unpow2_binary64_6622` `unpow1_binary64_6615` `/-rgt-identity_binary64_6548`
3×	`rec-exp_binary64_6607` `exp-sum_binary64_6603`
2×	`exp-diff_binary64_6605` `rem-log-exp_binary64_6598` `*-inverses_binary64_6537` `distribute-rgt1-in_binary64_6513` `associate--r-_binary64_6496`
1×	`log-rec_binary64_6645` `exp-sqrt_binary64_6610` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `cube-unmult_binary64_6594` `remove-double-neg_binary64_6545` `distribute-lft1-in_binary64_6512` `count-2_binary64_6505`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `log-pow_binary64_6646` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow1/2_binary64_6621` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `mul-1-neg_binary64_6549` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `div0_binary64_6538` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-lft-out--_binary64_6509`

Counts

146 → 250

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	3236
1	510	3174
2	1784	3127

prune405.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	247	3	250
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	3	251

Error

Counts

251 → 3

Compiler

Compiled 6424 to 3224 computations (49.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (-.f64 (*.f64 (/.f64 (exp.f64 z) y) 5081767996463981/4503599627370496) x)))
0.0b	(/.f64 (exp.f64 z) y)
0.1b	(/.f64 1 (-.f64 (*.f64 (/.f64 (exp.f64 z) y) 5081767996463981/4503599627370496) x))
0.2b	(*.f64 (/.f64 (exp.f64 z) y) 5081767996463981/4503599627370496)

rewrite162.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64_6579`
31×	`*-un-lft-identity_binary64_6557`
28×	`add-cube-cbrt_binary64_6592` `times-frac_binary64_6563`
13×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `associate-l_binary64_6498`
7×	`pow1_binary64_6618`
6×	`add-log-exp_binary64_6596` `associate-/l_binary64_6502` `associate-/r_binary64_6501`
4×	`div-exp_binary64_6608` `div-inv_binary64_6554`
3×	`cbrt-undiv_binary64_6591` `associate-r_binary64_6497`
2×	`prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `frac-2neg_binary64_6568` `clear-num_binary64_6556` `associate-/r/_binary64_6503` `distribute-lft-out_binary64_6508`
1×	`pow-prod-down_binary64_6628` `associate-l/_binary64_6500` `-commutative_binary64_6488` `inv-pow_binary64_6642` `pow-flip_binary64_6631` `1-exp_binary64_6601` `rec-exp_binary64_6607` `flip3--_binary64_6561` `flip--_binary64_6532` `sum-log_binary64_6648` `flip3-+_binary64_6560` `flip-+_binary64_6531` `+-commutative_binary64_6487`

Counts

4 → 105

Calls

4 calls:

12.0ms	(+.f64 x (/.f64 1 (-.f64 (*.f64 (/.f64 (exp.f64 z) y) 5081767996463981/4503599627370496) x)))
11.0ms	(*.f64 (/.f64 (exp.f64 z) y) 5081767996463981/4503599627370496)
9.0ms	(/.f64 1 (-.f64 (*.f64 (/.f64 (exp.f64 z) y) 5081767996463981/4503599627370496) x))
4.0ms	(/.f64 (exp.f64 z) y)

Compiler

Compiled 2164 to 1128 computations (47.9% saved)

series1.1s (6%)

Error

Counts

4 → 69

Calls

4 calls:

432.0ms	(+.f64 x (/.f64 1 (-.f64 (*.f64 (/.f64 (exp.f64 z) y) 5081767996463981/4503599627370496) x)))
405.0ms	(/.f64 1 (-.f64 (*.f64 (/.f64 (exp.f64 z) y) 5081767996463981/4503599627370496) x))
117.0ms	(*.f64 (/.f64 (exp.f64 z) y) 5081767996463981/4503599627370496)
80.0ms	(/.f64 (exp.f64 z) y)

Compiler

Compiled 3276 to 2520 computations (23.1% saved)

simplify724.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

509×	`associate-*l/_binary64_6500`
420×	`associate-/r*_binary64_6501`
403×	`associate-*r/_binary64_6499`
222×	`associate-/l/_binary64_6504`
197×	`associate-/r/_binary64_6503`
153×	`cancel-sign-sub-inv_binary64_6523` `distribute-rgt-in_binary64_6507`
120×	`distribute-lft-in_binary64_6506`
107×	`associate-/l*_binary64_6502`
96×	`sub-neg_binary64_6550`
91×	`times-frac_binary64_6563`
82×	`associate--r+_binary64_6493`
80×	`*-commutative_binary64_6488`
74×	`associate-r_binary64_6497`
72×	`distribute-neg-frac_binary64_6521`
70×	`associate-l_binary64_6498`
67×	`sqr-pow_binary64_6529`
64×	`+-commutative_binary64_6487`
62×	`unswap-sqr_binary64_6525`
59×	`distribute-rgt-neg-in_binary64_6515`
57×	`associate--l+_binary64_6494`
46×	`distribute-neg-in_binary64_6518`
45×	`distribute-lft-neg-in_binary64_6514`
44×	`neg-mul-1_binary64_6553`
43×	`neg-sub0_binary64_6552`
39×	`associate--l-_binary64_6495`
38×	`associate-+r+_binary64_6489`
36×	`associate-+l+_binary64_6490`
34×	`distribute-lft-neg-out_binary64_6516`
32×	`div-sub_binary64_6562` `pow-sqr_binary64_6530`
30×	`*-rgt-identity_binary64_6547`
20×	`log-div_binary64_6644` `cube-div_binary64_6586`
19×	`unsub-neg_binary64_6551` `distribute-rgt-neg-out_binary64_6517`
18×	`/-rgt-identity_binary64_6548`
16×	`pow-plus_binary64_6620`
14×	`log-prod_binary64_6643` `exp-prod_binary64_6609`
13×	`cube-prod_binary64_6585`
12×	`unpow3_binary64_6623`
11×	`*-lft-identity_binary64_6546`
9×	`swap-sqr_binary64_6524`
8×	`cube-mult_binary64_6587` `distribute-neg-out_binary64_6519`
6×	`prod-exp_binary64_6606` `difference-of-squares_binary64_6526` `distribute-rgt-out--_binary64_6511`
5×	`unpow2_binary64_6622` `unpow1_binary64_6615` `div-exp_binary64_6608` `distribute-rgt-out_binary64_6510`
4×	`associate-+r-_binary64_6491`
2×	`log-rec_binary64_6645` `rem-log-exp_binary64_6598` `count-2_binary64_6505` `associate--r-_binary64_6496` `associate-+l-_binary64_6492`
1×	`log-pow_binary64_6646` `pow-base-1_binary64_6617` `exp-sqrt_binary64_6610` `rec-exp_binary64_6607` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `cube-unmult_binary64_6594` `rem-cbrt-cube_binary64_6581` `rem-sqrt-square_binary64_6570` `remove-double-neg_binary64_6545` `+-rgt-identity_binary64_6542` `*-inverses_binary64_6537` `distribute-rgt1-in_binary64_6513` `distribute-lft1-in_binary64_6512` `distribute-lft-out_binary64_6508`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow1/2_binary64_6621` `exp-to-pow_binary64_6619` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `exp-sum_binary64_6603` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `rem-square-sqrt_binary64_6569` `mul-1-neg_binary64_6549` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `div0_binary64_6538` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `distribute-lft-out--_binary64_6509`

Counts

174 → 511

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	3675
1	630	3513
2	1973	3414

prune1.1s (5.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	511	0	511
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	511	3	514

Error

Counts

514 → 3

Compiler

Compiled 13247 to 7526 computations (43.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))
0.4b	(-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y))
0.5b	(.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496)))
8.0b	(/.f64 y (-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y)))

rewrite172.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_6579`
17×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
13×	`add-cbrt-cube_binary64_6593`
11×	`pow1_binary64_6618` `add-exp-log_binary64_6595`
9×	`times-frac_binary64_6563` `associate-l_binary64_6498`
7×	`sqrt-prod_binary64_6573` `associate-r_binary64_6497`
6×	`add-log-exp_binary64_6596`
4×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
3×	`associate-/l_binary64_6502` `associate-/r_binary64_6501`
2×	`flip3--_binary64_6561` `associate-/r/_binary64_6503` `flip--_binary64_6532` `*-commutative_binary64_6488` `unswap-sqr_binary64_6525`
1×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568` `clear-num_binary64_6556` `div-inv_binary64_6554` `diff-log_binary64_6649` `sub-neg_binary64_6550` `cancel-sign-sub-inv_binary64_6523`

Counts

4 → 84

Calls

4 calls:

11.0ms	(/.f64 y (-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y)))
9.0ms	(.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496)))
9.0ms	(-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y))
7.0ms	(*.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))

Compiler

Compiled 2197 to 1353 computations (38.4% saved)

series1.2s (6.4%)

Error

Counts

4 → 55

Calls

4 calls:

633.0ms	(/.f64 y (-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y)))
330.0ms	(-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y))
86.0ms	(.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496)))
52.0ms	(*.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))

Compiler

Compiled 2932 to 2310 computations (21.2% saved)

simplify709.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-/r*_binary64_6501`
271×	`associate-*l/_binary64_6500`
240×	`associate-*r/_binary64_6499`
211×	`associate-/r/_binary64_6503`
187×	`associate-/l/_binary64_6504`
180×	`associate-l_binary64_6498`
178×	`associate-r_binary64_6497`
139×	`cancel-sign-sub-inv_binary64_6523`
125×	`distribute-rgt-neg-in_binary64_6515`
120×	`unswap-sqr_binary64_6525`
116×	`distribute-lft-neg-in_binary64_6514`
110×	`distribute-rgt-in_binary64_6507`
109×	`times-frac_binary64_6563`
95×	`associate-/l*_binary64_6502`
94×	`distribute-lft-in_binary64_6506`
87×	`distribute-neg-frac_binary64_6521`
82×	`sqr-pow_binary64_6529`
69×	`*-commutative_binary64_6488`
60×	`prod-exp_binary64_6606`
55×	`distribute-rgt-out_binary64_6510`
52×	`sub-neg_binary64_6550`
48×	`+-commutative_binary64_6487`
46×	`neg-mul-1_binary64_6553`
45×	`neg-sub0_binary64_6552` `associate--l+_binary64_6494`
41×	`associate-+l-_binary64_6492`
39×	`pow-sqr_binary64_6530`
31×	`associate--r+_binary64_6493`
30×	`associate-+r+_binary64_6489`
29×	`distribute-neg-in_binary64_6518`
28×	`associate-+l+_binary64_6490`
27×	`exp-prod_binary64_6609`
22×	`div-sub_binary64_6562`
20×	`*-rgt-identity_binary64_6547`
19×	`log-prod_binary64_6643` `div-exp_binary64_6608`
18×	`pow-plus_binary64_6620`
17×	`cube-prod_binary64_6585`
15×	`swap-sqr_binary64_6524`
14×	`distribute-lft-neg-out_binary64_6516`
13×	`unsub-neg_binary64_6551`
10×	`unpow3_binary64_6623` `distribute-lft-out_binary64_6508`
9×	`*-lft-identity_binary64_6546`
7×	`cube-mult_binary64_6587` `/-rgt-identity_binary64_6548`
6×	`log-div_binary64_6644` `unpow2_binary64_6622` `unpow1_binary64_6615` `+-rgt-identity_binary64_6542` `distribute-rgt1-in_binary64_6513` `associate-+r-_binary64_6491`
5×	`exp-sum_binary64_6603` `cube-div_binary64_6586` `distribute-rgt-neg-out_binary64_6517` `associate--l-_binary64_6495`
4×	`rem-log-exp_binary64_6598` `rem-sqrt-square_binary64_6570` `difference-of-squares_binary64_6526`
3×	`rec-exp_binary64_6607` `distribute-lft1-in_binary64_6512`
2×	`exp-diff_binary64_6605` `cube-unmult_binary64_6594` `*-inverses_binary64_6537` `distribute-rgt-out--_binary64_6511` `count-2_binary64_6505` `associate--r-_binary64_6496`
1×	`log-rec_binary64_6645` `exp-sqrt_binary64_6610` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-square-sqrt_binary64_6569` `remove-double-neg_binary64_6545` `distribute-neg-out_binary64_6519`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `log-pow_binary64_6646` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow1/2_binary64_6621` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `mul-1-neg_binary64_6549` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `div0_binary64_6538` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `distribute-lft-out--_binary64_6509`

Counts

139 → 323

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	3190
1	535	2594
2	2050	2558

prune582.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	323	3	326

Error

Counts

326 → 3

Compiler

Compiled 9042 to 5068 computations (44% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 (.f64 5081767996463981/4503599627370496 5081767996463981/4503599627370496) (pow.f64 (exp.f64 z) 2)) (.f64 (.f64 x x) (*.f64 y y)))
8.0b	(/.f64 y (/.f64 (-.f64 (.f64 (.f64 5081767996463981/4503599627370496 5081767996463981/4503599627370496) (pow.f64 (exp.f64 z) 2)) (.f64 (.f64 x x) (.f64 y y))) (+.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))))
14.1b	(.f64 (.f64 x x) (*.f64 y y))
17.3b	(/.f64 (-.f64 (.f64 (.f64 5081767996463981/4503599627370496 5081767996463981/4503599627370496) (pow.f64 (exp.f64 z) 2)) (.f64 (.f64 x x) (.f64 y y))) (+.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

rewrite438.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`times-frac_binary64_6563`
56×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
32×	`pow1_binary64_6618`
23×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
18×	`associate-/r*_binary64_6501`
14×	`pow-prod-down_binary64_6628`
11×	`associate-/r/_binary64_6503`
8×	`prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
6×	`add-log-exp_binary64_6596` `div-inv_binary64_6554` `associate-/l*_binary64_6502`
5×	`flip3-+_binary64_6560` `flip-+_binary64_6531`
4×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `pow-prod-up_binary64_6627` `pow-plus_binary64_6620`
2×	`frac-2neg_binary64_6568` `clear-num_binary64_6556` `flip3--_binary64_6561` `associate-/l/_binary64_6504` `flip--_binary64_6532` `pow2_binary64_6638` `pow-sqr_binary64_6530`
1×	`div-sub_binary64_6562` `unswap-sqr_binary64_6525` `associate-l_binary64_6498` `associate-r_binary64_6497` `*-commutative_binary64_6488` `diff-log_binary64_6649` `sub-neg_binary64_6550` `cancel-sign-sub-inv_binary64_6523`

Counts

4 → 151

Calls

4 calls:

15.0ms	(/.f64 y (/.f64 (-.f64 (.f64 (.f64 5081767996463981/4503599627370496 5081767996463981/4503599627370496) (pow.f64 (exp.f64 z) 2)) (.f64 (.f64 x x) (.f64 y y))) (+.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))))
15.0ms	(/.f64 (-.f64 (.f64 (.f64 5081767996463981/4503599627370496 5081767996463981/4503599627370496) (pow.f64 (exp.f64 z) 2)) (.f64 (.f64 x x) (.f64 y y))) (+.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))
9.0ms	(.f64 (.f64 x x) (*.f64 y y))
9.0ms	(-.f64 (.f64 (.f64 5081767996463981/4503599627370496 5081767996463981/4503599627370496) (pow.f64 (exp.f64 z) 2)) (.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 7574 to 3605 computations (52.4% saved)

series2.3s (12.2%)

Error

Counts

4 → 65

Calls

4 calls:

881.0ms	(/.f64 y (/.f64 (-.f64 (.f64 (.f64 5081767996463981/4503599627370496 5081767996463981/4503599627370496) (pow.f64 (exp.f64 z) 2)) (.f64 (.f64 x x) (.f64 y y))) (+.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))))
767.0ms	(/.f64 (-.f64 (.f64 (.f64 5081767996463981/4503599627370496 5081767996463981/4503599627370496) (pow.f64 (exp.f64 z) 2)) (.f64 (.f64 x x) (.f64 y y))) (+.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))
386.0ms	(-.f64 (.f64 (.f64 5081767996463981/4503599627370496 5081767996463981/4503599627370496) (pow.f64 (exp.f64 z) 2)) (.f64 (.f64 x x) (*.f64 y y)))
112.0ms	(.f64 (.f64 x x) (*.f64 y y))

Compiler

Compiled 5159 to 3778 computations (26.8% saved)

simplify1.2s (6.2%)

Algorithm

1×	egg-herbie

Rules

400×	`associate-/l*_binary64_6502`
370×	`associate-r_binary64_6497`
358×	`times-frac_binary64_6563`
316×	`associate-l_binary64_6498`
186×	`associate-/r*_binary64_6501`
180×	`associate-/r/_binary64_6503`
149×	`associate-/l/_binary64_6504`
144×	`associate-*l/_binary64_6500`
103×	`associate-*r/_binary64_6499`
98×	`distribute-rgt-in_binary64_6507`
86×	`distribute-lft-in_binary64_6506`
72×	`unswap-sqr_binary64_6525`
68×	`cancel-sign-sub-inv_binary64_6523`
60×	`*-commutative_binary64_6488`
53×	`+-commutative_binary64_6487`
52×	`sub-neg_binary64_6550`
43×	`sqr-pow_binary64_6529`
33×	`div-sub_binary64_6562`
32×	`associate-+r+_binary64_6489`
31×	`distribute-neg-in_binary64_6518` `distribute-rgt-neg-in_binary64_6515`
27×	`neg-sub0_binary64_6552`
26×	`neg-mul-1_binary64_6553` `distribute-lft-neg-in_binary64_6514`
24×	`pow-sqr_binary64_6530`
21×	`cube-prod_binary64_6585`
18×	`exp-prod_binary64_6609`
15×	`unpow3_binary64_6623`
13×	`log-prod_binary64_6643` `cube-mult_binary64_6587`
11×	`swap-sqr_binary64_6524`
10×	`/-rgt-identity_binary64_6548`
8×	`pow-plus_binary64_6620`
6×	`unpow2_binary64_6622` `associate--l+_binary64_6494`
5×	`cube-unmult_binary64_6594` `distribute-neg-frac_binary64_6521` `distribute-lft-neg-out_binary64_6516` `distribute-rgt-out_binary64_6510` `associate--r+_binary64_6493`
4×	`log-div_binary64_6644` `unsub-neg_binary64_6551` `distribute-lft-out_binary64_6508`
3×	`difference-of-squares_binary64_6526` `distribute-rgt-out--_binary64_6511`
2×	`div-exp_binary64_6608` `prod-exp_binary64_6606` `exp-diff_binary64_6605` `exp-sum_binary64_6603` `*-inverses_binary64_6537` `remove-double-div_binary64_6533` `count-2_binary64_6505`
1×	`rec-exp_binary64_6607` `1-exp_binary64_6601` `cube-div_binary64_6586` `rem-sqrt-square_binary64_6570` `mul-1-neg_binary64_6549` `*-rgt-identity_binary64_6547` `associate--r-_binary64_6496` `associate-+r-_binary64_6491` `associate-+l+_binary64_6490`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `log-pow_binary64_6646` `log-rec_binary64_6645` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow1/2_binary64_6621` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow1_binary64_6615` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-sqrt_binary64_6610` `exp-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `rem-square-sqrt_binary64_6569` `*-lft-identity_binary64_6546` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-rgt-identity_binary64_6542` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `div0_binary64_6538` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-rgt-neg-out_binary64_6517` `distribute-rgt1-in_binary64_6513` `distribute-lft1-in_binary64_6512` `distribute-lft-out--_binary64_6509` `associate--l-_binary64_6495` `associate-+l-_binary64_6492`

Counts

216 → 685

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	422	10443
1	1143	9902

prune2.9s (15.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	685	0	685
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	685	3	688

Error

Counts

688 → 3

Compiler

Compiled 37295 to 17719 computations (52.5% saved)

regimes829.0ms (4.5%)

Accuracy

Total 0.0b remaining (99.2%)

Threshold costs 0.0b (99.2%)

Compiler

Compiled 8664 to 6521 computations (24.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_6487`
2×	`sub-neg_binary64_6550` `*-commutative_binary64_6488`
1×	`1-exp_binary64_6601` `neg-mul-1_binary64_6553` `neg-sub0_binary64_6552`
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_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `unpow1_binary64_6615` `e-exp-1_binary64_6602` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `unsub-neg_binary64_6551` `mul-1-neg_binary64_6549` `/-rgt-identity_binary64_6548` `-rgt-identity_binary64_6547` `-lft-identity_binary64_6546` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-rgt-identity_binary64_6542` `+-lft-identity_binary64_6541` `cancel-sign-sub-inv_binary64_6523` `cancel-sign-sub_binary64_6522` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-neg-in_binary64_6518` `distribute-rgt-neg-out_binary64_6517` `distribute-lft-neg-out_binary64_6516` `distribute-rgt-neg-in_binary64_6515` `distribute-lft-neg-in_binary64_6514`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	18	18
2	22	18
3	24	18
4	25	18

Proof

(+ f64 h0 (/ f64 1 (- f64 (* f64 (/ f64 (exp f64 h1) h2) 5081767996463981/4503599627370496) h0)))

end0.0ms (0%)

sample1.8s (9.4%)

Algorithm

1×

intervals

Results

321.0ms

8000×

body

128

valid

Compiler

Compiled 1353 to 1024 computations (24.3% saved)

Details

analyze231.0ms (1.2%)

sample22.0ms (0.1%)

simplify900.0ms (4.9%)

prune3.0ms (0%)

localize9.0ms (0%)

rewrite143.0ms (0.8%)

series1.1s (6%)

simplify608.0ms (3.3%)

prune405.0ms (2.2%)

localize9.0ms (0.1%)

rewrite162.0ms (0.9%)

series1.1s (6%)

simplify724.0ms (3.9%)

prune1.1s (5.9%)

localize16.0ms (0.1%)

rewrite172.0ms (0.9%)

series1.2s (6.4%)

simplify709.0ms (3.8%)

prune582.0ms (3.1%)

localize23.0ms (0.1%)

rewrite438.0ms (2.4%)

series2.3s (12.2%)

simplify1.2s (6.2%)

prune2.9s (15.6%)

regimes829.0ms (4.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (9.4%)

Profiling