Details

analyze1.2s (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Compiler

Compiled 12 to 12 computations (0% saved)

sample31.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	113×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify160.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_5123`
3×	`associate-+l+_binary64_5126` `associate-+r+_binary64_5125` `*-commutative_binary64_5124`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-pow_binary64_5282` `log-rec_binary64_5281` `log-div_binary64_5280` `log-prod_binary64_5279` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow3_binary64_5259` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `pow-plus_binary64_5256` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow1_binary64_5251` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `exp-prod_binary64_5245` `div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `exp-sum_binary64_5239` `e-exp-1_binary64_5238` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-unmult_binary64_5230` `cube-mult_binary64_5223` `cube-div_binary64_5222` `cube-prod_binary64_5221` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `times-frac_binary64_5199` `div-sub_binary64_5198` `neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `unsub-neg_binary64_5187` `sub-neg_binary64_5186` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `remove-double-neg_binary64_5181` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `div0_binary64_5174` `-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `pow-sqr_binary64_5166` `sqr-pow_binary64_5165` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `difference-of-squares_binary64_5162` `unswap-sqr_binary64_5161` `swap-sqr_binary64_5160` `cancel-sign-sub-inv_binary64_5159` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-neg-in_binary64_5154` `distribute-rgt-neg-out_binary64_5153` `distribute-lft-neg-out_binary64_5152` `distribute-rgt-neg-in_binary64_5151` `distribute-lft-neg-in_binary64_5150` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-rgt-out_binary64_5146` `distribute-lft-out--_binary64_5145` `distribute-lft-out_binary64_5144` `distribute-rgt-in_binary64_5143` `distribute-lft-in_binary64_5142` `count-2_binary64_5141` `associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `associate-/l_binary64_5138` `associate-/r_binary64_5137` `associate-l/_binary64_5136` `associate-r/_binary64_5135` `associate-l_binary64_5134` `associate-r*_binary64_5133` `associate--r-_binary64_5132` `associate--l-_binary64_5131` `associate--l+_binary64_5130` `associate--r+_binary64_5129` `associate-+l-_binary64_5128` `associate-+r-_binary64_5127`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	19	16
2	25	16
3	25	16

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_5232`
4×	`sum-log_binary64_5284`
2×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `flip3-+_binary64_5196` `*-un-lft-identity_binary64_5193` `flip-+_binary64_5167` `+-commutative_binary64_5123`
1×	`associate-+l+_binary64_5126`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 510 to 94 computations (81.6% saved)

series674.0ms (5.5%)

Error

0.0b

Counts

2 → 60

Calls

2 calls:

444.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
198.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1314 to 920 computations (30% saved)

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

514×	`unswap-sqr_binary64_5161`
380×	`sub-neg_binary64_5186`
310×	`associate-l_binary64_5134`
297×	`cancel-sign-sub-inv_binary64_5159`
278×	`distribute-rgt-in_binary64_5143`
254×	`distribute-lft-in_binary64_5142`
225×	`associate-r_binary64_5133`
178×	`+-commutative_binary64_5123`
176×	`distribute-rgt-out_binary64_5146`
147×	`distribute-neg-in_binary64_5154`
122×	`distribute-rgt-neg-in_binary64_5151`
120×	`sqr-pow_binary64_5165`
97×	`distribute-lft-neg-in_binary64_5150`
95×	`associate--r+_binary64_5129`
94×	`neg-mul-1_binary64_5189`
92×	`neg-sub0_binary64_5188`
90×	`*-commutative_binary64_5124`
88×	`associate-+l+_binary64_5126`
79×	`pow-sqr_binary64_5166`
78×	`distribute-lft-out_binary64_5144`
77×	`unsub-neg_binary64_5187`
74×	`associate-+l-_binary64_5128`
70×	`associate-+r-_binary64_5127`
64×	`associate--l+_binary64_5130` `associate-+r+_binary64_5125`
44×	`distribute-lft-neg-out_binary64_5152`
36×	`sub0-neg_binary64_5180`
33×	`distribute-rgt-out--_binary64_5147`
26×	`exp-sum_binary64_5239`
23×	`+-rgt-identity_binary64_5178`
19×	`distribute-rgt-neg-out_binary64_5153`
14×	`unpow3_binary64_5259`
12×	`distribute-neg-out_binary64_5155`
10×	`cube-unmult_binary64_5230` `cube-mult_binary64_5223` `distribute-lft-out--_binary64_5145`
8×	`remove-double-neg_binary64_5181` `difference-of-squares_binary64_5162` `cancel-sign-sub_binary64_5158`
7×	`associate-/l/_binary64_5140` `associate--r-_binary64_5132`
6×	`exp-prod_binary64_5245` `cube-prod_binary64_5221` `swap-sqr_binary64_5160`
5×	`prod-exp_binary64_5242` `associate-*r/_binary64_5135`
4×	`exp-diff_binary64_5241`
3×	`associate-/l*_binary64_5138`
2×	`--rgt-identity_binary64_5179`
1×	`times-frac_binary64_5199` `-inverses_binary64_5173` `associate-l/_binary64_5136`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-pow_binary64_5282` `log-rec_binary64_5281` `log-div_binary64_5280` `log-prod_binary64_5279` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `pow-plus_binary64_5256` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow1_binary64_5251` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `div-exp_binary64_5244` `rec-exp_binary64_5243` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-div_binary64_5222` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `div-sub_binary64_5198` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `+-lft-identity_binary64_5177` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `div0_binary64_5174` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `count-2_binary64_5141` `associate-/r/_binary64_5139` `associate-/r*_binary64_5137` `associate--l-_binary64_5131`

Counts

84 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	1095
1	198	1062
2	689	1056
3	2242	1056
4	3652	1056

prune69.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	3	67

Error

Counts

67 → 3

Compiler

Compiled 1746 to 260 computations (85.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)) (*.f64 a b))
0.0b	(+.f64 (.f64 t z) (.f64 x y))
0.3b	(pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)
34.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3))

rewrite114.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_5224`
10×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
8×	`add-log-exp_binary64_5232`
6×	`unpow-prod-down_binary64_5272` `cube-prod_binary64_5221`
5×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
4×	`flip3-+_binary64_5196` `cube-div_binary64_5222` `flip-+_binary64_5167`
3×	`pow-unpow_binary64_5270`
2×	`cbrt-div_binary64_5225` `unpow3_binary64_5259` `cube-mult_binary64_5223` `sqr-pow_binary64_5165` `sum-log_binary64_5284` `+-commutative_binary64_5123`
1×	`pow1/3_binary64_5275` `rem-cbrt-cube_binary64_5217` `pow-pow_binary64_5265` `pow-to-exp_binary64_5262` `pow-exp_binary64_5261` `rem-cube-cbrt_binary64_5216`

Counts

4 → 70

Calls

4 calls:

10.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)) (*.f64 a b))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3))
5.0ms	(pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)
4.0ms	(+.f64 (.f64 t z) (.f64 x y))

Compiler

Compiled 1795 to 566 computations (68.5% saved)

series1.4s (11.5%)

Error

Counts

4 → 132

Calls

4 calls:

465.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)) (*.f64 a b))
396.0ms	(pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)
218.0ms	(+.f64 (.f64 t z) (.f64 x y))
211.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3))

Compiler

Compiled 5082 to 3848 computations (24.3% saved)

simplify393.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

513×	`distribute-rgt-in_binary64_5143`
484×	`distribute-lft-in_binary64_5142`
405×	`unswap-sqr_binary64_5161`
176×	`associate-r_binary64_5133`
174×	`associate-l_binary64_5134`
143×	`cancel-sign-sub-inv_binary64_5159`
123×	`sqr-pow_binary64_5165`
119×	`associate-+l+_binary64_5126`
89×	`associate-+r+_binary64_5125`
86×	`distribute-rgt-neg-in_binary64_5151`
84×	`exp-prod_binary64_5245`
83×	`distribute-rgt-out_binary64_5146`
70×	`distribute-lft-neg-in_binary64_5150`
66×	`pow-sqr_binary64_5166`
52×	`log-prod_binary64_5279`
51×	`distribute-lft-out_binary64_5144`
44×	`*-commutative_binary64_5124`
38×	`cube-prod_binary64_5221`
32×	`swap-sqr_binary64_5160`
31×	`sub-neg_binary64_5186`
30×	`pow-plus_binary64_5256` `+-commutative_binary64_5123`
29×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188`
21×	`unpow3_binary64_5259`
20×	`distribute-lft-neg-out_binary64_5152` `distribute-rgt-out--_binary64_5147`
19×	`cube-mult_binary64_5223`
18×	`associate-+r-_binary64_5127`
16×	`associate--r+_binary64_5129`
15×	`log-pow_binary64_5282`
14×	`associate-*r/_binary64_5135` `associate--l+_binary64_5130`
13×	`associate-*l/_binary64_5136` `associate-+l-_binary64_5128`
11×	`exp-sum_binary64_5239` `distribute-lft-out--_binary64_5145`
10×	`prod-exp_binary64_5242` `rem-sqrt-square_binary64_5206` `associate-/l/_binary64_5140`
9×	`rem-cbrt-cube_binary64_5217` `associate-/l*_binary64_5138`
7×	`cube-unmult_binary64_5230`
6×	`*-lft-identity_binary64_5182` `distribute-neg-in_binary64_5154` `distribute-rgt-neg-out_binary64_5153`
5×	`unpow1_binary64_5251` `unsub-neg_binary64_5187` `difference-of-squares_binary64_5162` `count-2_binary64_5141`
4×	`unpow2_binary64_5258` `*-rgt-identity_binary64_5183` `associate-/r/_binary64_5139`
3×	`pow-base-1_binary64_5253`
2×	`times-frac_binary64_5199`
1×	`1-exp_binary64_5237` `cube-div_binary64_5222` `rem-3cbrt-lft_binary64_5218` `rem-cube-cbrt_binary64_5216` `rem-square-sqrt_binary64_5205` `/-rgt-identity_binary64_5184` `+-rgt-identity_binary64_5178` `-inverses_binary64_5173` `rgt-mult-inverse_binary64_5170` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `associate-/r_binary64_5137`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-rec_binary64_5281` `log-div_binary64_5280` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow1/2_binary64_5257` `exp-to-pow_binary64_5255` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `div-exp_binary64_5244` `rec-exp_binary64_5243` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `div-sub_binary64_5198` `mul-1-neg_binary64_5185` `remove-double-neg_binary64_5181` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `div0_binary64_5174` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `associate--r-_binary64_5132` `associate--l-_binary64_5131`

Counts

202 → 321

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	3938
1	371	3752
2	1540	3638

prune377.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	321	3	324

Error

Counts

324 → 3

Compiler

Compiled 9372 to 2392 computations (74.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (*.f64 x y)))
2.7b	(-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 b (.f64 a (.f64 a b))))
4.8b	(.f64 b (.f64 a (*.f64 a b)))
30.0b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 b (.f64 a (.f64 a b)))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))

rewrite213.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64_5254`
19×	`add-sqr-sqrt_binary64_5215`
17×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
9×	`times-frac_binary64_5199`
7×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
6×	`add-log-exp_binary64_5232` `associate-l_binary64_5134` `flip3-+_binary64_5196` `flip-+_binary64_5167`
4×	`associate-r_binary64_5133` `frac-times_binary64_5203`
3×	`flip3--_binary64_5197` `flip--_binary64_5168` `associate-/l_binary64_5138` `associate-/r_binary64_5137` `swap-sqr_binary64_5160`
2×	`associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `-commutative_binary64_5124` `distribute-rgt-in_binary64_5143` `associate--l+_binary64_5130` `distribute-lft-in_binary64_5142` `associate-l/_binary64_5136` `associate-*r/_binary64_5135`
1×	`div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `div-sub_binary64_5198` `clear-num_binary64_5192` `div-inv_binary64_5190` `diff-log_binary64_5285` `sub-neg_binary64_5186` `cancel-sign-sub-inv_binary64_5159` `pow2_binary64_5274` `pow-prod-up_binary64_5263` `pow-plus_binary64_5256` `pow-sqr_binary64_5166` `unswap-sqr_binary64_5161`

Counts

4 → 102

Calls

4 calls:

19.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 b (.f64 a (.f64 a b)))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
11.0ms	(-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 b (.f64 a (.f64 a b))))
11.0ms	(.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (*.f64 x y)))
7.0ms	(.f64 b (.f64 a (*.f64 a b)))

Compiler

Compiled 5487 to 473 computations (91.4% saved)

series4.1s (33.5%)

Error

Counts

4 → 126

Calls

4 calls:

1.8s	(-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 b (.f64 a (.f64 a b))))
1.6s	(/.f64 (-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 b (.f64 a (.f64 a b)))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
493.0ms	(.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (*.f64 x y)))
109.0ms	(.f64 b (.f64 a (*.f64 a b)))

Compiler

Compiled 11070 to 6431 computations (41.9% saved)

simplify1.1s (8.6%)

Algorithm

1×	egg-herbie

Rules

478×	`associate-r_binary64_5133`
459×	`associate-l_binary64_5134`
449×	`cancel-sign-sub-inv_binary64_5159`
227×	`times-frac_binary64_5199`
226×	`associate-/l*_binary64_5138`
193×	`div-sub_binary64_5198`
148×	`*-commutative_binary64_5124`
132×	`distribute-rgt-in_binary64_5143`
130×	`distribute-lft-in_binary64_5142`
110×	`swap-sqr_binary64_5160`
109×	`associate-/r*_binary64_5137`
106×	`sub-neg_binary64_5186`
103×	`exp-prod_binary64_5245`
93×	`sqr-pow_binary64_5165`
76×	`+-commutative_binary64_5123`
60×	`neg-mul-1_binary64_5189`
59×	`neg-sub0_binary64_5188`
58×	`log-prod_binary64_5279`
57×	`associate-+r+_binary64_5125`
52×	`associate-+l+_binary64_5126`
45×	`cube-prod_binary64_5221` `unswap-sqr_binary64_5161`
42×	`/-rgt-identity_binary64_5184`
40×	`pow-sqr_binary64_5166` `distribute-rgt-neg-in_binary64_5151`
37×	`associate-/r/_binary64_5139`
36×	`exp-sum_binary64_5239`
34×	`associate--l+_binary64_5130`
32×	`distribute-lft-neg-in_binary64_5150`
27×	`pow-plus_binary64_5256`
25×	`*-rgt-identity_binary64_5183`
22×	`associate-/l/_binary64_5140`
21×	`log-div_binary64_5280`
19×	`-lft-identity_binary64_5182` `difference-of-squares_binary64_5162` `associate-l/_binary64_5136`
17×	`unpow3_binary64_5259` `div-exp_binary64_5244` `cube-div_binary64_5222`
16×	`prod-exp_binary64_5242`
12×	`cube-mult_binary64_5223` `unsub-neg_binary64_5187` `associate--r+_binary64_5129`
11×	`associate-*r/_binary64_5135`
9×	`unpow2_binary64_5258` `unpow1_binary64_5251` `distribute-neg-in_binary64_5154`
8×	`cube-unmult_binary64_5230` `distribute-lft-neg-out_binary64_5152` `associate-+r-_binary64_5127`
7×	`rem-sqrt-square_binary64_5206` `+-rgt-identity_binary64_5178`
5×	`log-pow_binary64_5282` `exp-diff_binary64_5241`
4×	`rec-exp_binary64_5243` `*-inverses_binary64_5173` `distribute-rgt-out_binary64_5146` `count-2_binary64_5141`
2×	`remove-double-neg_binary64_5181` `distribute-rgt-out--_binary64_5147` `associate--r-_binary64_5132`
1×	`log-rec_binary64_5281` `exp-lft-sqr_binary64_5248` `exp-sqrt_binary64_5246` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-log-exp_binary64_5234` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-square-sqrt_binary64_5205` `mul-1-neg_binary64_5185` `distribute-neg-frac_binary64_5157` `distribute-lft-out_binary64_5144` `associate-+l-_binary64_5128`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow1/2_binary64_5257` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-cbrt_binary64_5247` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `rem-exp-log_binary64_5233` `cube-neg_binary64_5220` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `div0_binary64_5174` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `cancel-sign-sub_binary64_5158` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-rgt-neg-out_binary64_5153` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-lft-out--_binary64_5145` `associate--l-_binary64_5131`

Counts

228 → 457

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	7634
1	869	7220
2	4423	6914

prune631.0ms (5.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	457	0	457
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	457	3	460

Error

Counts

460 → 3

Compiler

Compiled 20322 to 2615 computations (87.1% saved)

regimes429.0ms (3.5%)

Accuracy

Total 0.0b remaining (21.2%)

Threshold costs 0.0b (21.2%)

Compiler

Compiled 3080 to 3102 computations (-0.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_5124`
2×	`+-commutative_binary64_5123`
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_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `unpow1_binary64_5251` `e-exp-1_binary64_5238` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `unsub-neg_binary64_5187` `sub-neg_binary64_5186` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `remove-double-neg_binary64_5181` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177` `cancel-sign-sub-inv_binary64_5159` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-neg-in_binary64_5154` `distribute-rgt-neg-out_binary64_5153` `distribute-lft-neg-out_binary64_5152` `distribute-rgt-neg-in_binary64_5151` `distribute-lft-neg-in_binary64_5150`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	17	16

Proof

(+ f64 (+ f64 (* f64 h0 h1) (* f64 h2 h3)) (* f64 h4 h5))

end0.0ms (0%)

sample1.3s (10.2%)

Algorithm

1×

intervals

Results

297.0ms	8000×	body	128	valid
139.0ms	3907×	body	128	invalid

Compiler

Compiled 297 to 297 computations (0% saved)

Details

analyze1.2s (9.5%)

sample31.0ms (0.3%)

simplify160.0ms (1.3%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite34.0ms (0.3%)

series674.0ms (5.5%)

simplify126.0ms (1%)

prune69.0ms (0.6%)

localize11.0ms (0.1%)

rewrite114.0ms (0.9%)

series1.4s (11.5%)

simplify393.0ms (3.2%)

prune377.0ms (3%)

localize19.0ms (0.2%)

rewrite213.0ms (1.7%)

series4.1s (33.5%)

simplify1.1s (8.6%)

prune631.0ms (5.1%)

regimes429.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (10.2%)

Profiling