Details

analyze312.0ms (6.4%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify110.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
0.0b	(*.f64 (-.f64 x 1) z)
0.0b	(*.f64 (-.f64 x 1) z)
0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_5215`
7×	`associate-l_binary64_5134` `*-un-lft-identity_binary64_5193`
4×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `pow1_binary64_5254`
3×	`associate-r_binary64_5133`
2×	`associate-*l/_binary64_5136` `difference-of-squares_binary64_5162`
1×	`distribute-lft-out--_binary64_5145` `flip3--_binary64_5197` `pow-prod-down_binary64_5264` `flip--_binary64_5168` `difference-of-sqr-1_binary64_5163` `sum-log_binary64_5284` `flip-+_binary64_5167` `*-commutative_binary64_5124` `+-commutative_binary64_5123` `flip3-+_binary64_5196` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`

Counts

2 → 35

Calls

4 calls:

7.0ms	(*.f64 (-.f64 x 1) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
0.0ms	(*.f64 (-.f64 x 1) z)
0.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

series188.0ms (3.9%)

Counts

2 → 27

Calls

2 calls:

127.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
61.0ms	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 330 to 281 computations (14.8% saved)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5092	615

prune47.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Error

Counts

64 → 5

Compiler

Compiled 746 to 312 computations (58.2% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b	(*.f64 x (+.f64 y z))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
5×	`add-cube-cbrt_binary64_5228`
4×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `associate-r_binary64_5133` `pow1_binary64_5254`
3×	`associate-l_binary64_5134` `cancel-sign-sub-inv_binary64_5159`
2×	`distribute-rgt-in_binary64_5143` `associate--l+_binary64_5130` `associate-*r/_binary64_5135` `distribute-lft-in_binary64_5142`
1×	`flip3--_binary64_5197` `pow-prod-down_binary64_5264` `sub-neg_binary64_5186` `flip--_binary64_5168` `flip-+_binary64_5167` `*-commutative_binary64_5124` `distribute-lft-out_binary64_5144` `flip3-+_binary64_5196` `diff-log_binary64_5285` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`

Counts

2 → 39

Calls

4 calls:

6.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
6.0ms	(*.f64 x (+.f64 y z))
0.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
0.0ms	(*.f64 x (+.f64 y z))

series205.0ms (4.2%)

Counts

2 → 33

Calls

2 calls:

122.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
83.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 381 to 322 computations (15.5% saved)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5136	655

prune44.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Error

Counts

77 → 5

Compiler

Compiled 717 to 148 computations (79.4% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(*.f64 x (+.f64 y z))
0.0b	(*.f64 x (+.f64 y z))
0.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (.f64 x (+.f64 y z)))) (cbrt.f64 (*.f64 x (+.f64 y z)))) z)
0.5b	(.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
4.5b	(cbrt.f64 (*.f64 x (+.f64 y z)))
4.5b	(cbrt.f64 (*.f64 x (+.f64 y z)))
4.5b	(cbrt.f64 (*.f64 x (+.f64 y z)))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_5135`
18×	`cbrt-div_binary64_5225`
11×	`pow1_binary64_5254`
10×	`add-sqr-sqrt_binary64_5215`
9×	`flip-+_binary64_5167` `flip3-+_binary64_5196` `pow1/3_binary64_5275`
8×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
7×	`cbrt-prod_binary64_5224`
6×	`add-exp-log_binary64_5231`
4×	`add-cbrt-cube_binary64_5229` `associate-l_binary64_5134` `add-log-exp_binary64_5232` `frac-times_binary64_5203` `swap-sqr_binary64_5160` `associate-r_binary64_5133`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `associate-*l/_binary64_5136` `pow-sqr_binary64_5166`
1×	`pow-plus_binary64_5256` `pow2_binary64_5274` `*-commutative_binary64_5124` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`

Counts

4 → 72

Calls

8 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
0.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (.f64 x (+.f64 y z)))) (cbrt.f64 (*.f64 x (+.f64 y z)))) z)

series1.0s (21.3%)

Counts

4 → 61

Calls

4 calls:

332.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
244.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
230.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
228.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))

Compiler

Compiled 3766 to 2725 computations (27.6% saved)

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4971	2425
1	4971	2425

prune129.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	133	5	138

Error

Counts

138 → 5

Compiler

Compiled 3634 to 970 computations (73.3% saved)

localize13.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.0b	(+.f64 (*.f64 x (-.f64 y z)) z)
0.0b	(+.f64 (*.f64 x (-.f64 y z)) z)
0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b	(*.f64 x (-.f64 y z))
0.0b	(*.f64 x (+.f64 y z))
0.1b	(.f64 (-.f64 (.f64 x (+.f64 y z)) z) (+.f64 (*.f64 x (-.f64 y z)) z))
26.2b	(/.f64 (.f64 (-.f64 (.f64 x (+.f64 y z)) z) (+.f64 (.f64 x (-.f64 y z)) z)) (+.f64 (.f64 x (-.f64 y z)) z))

rewrite68.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_5215`
18×	`*-un-lft-identity_binary64_5193`
15×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
14×	`add-cube-cbrt_binary64_5228`
12×	`associate-r_binary64_5133`
10×	`pow1_binary64_5254`
9×	`associate-l_binary64_5134`
8×	`flip-+_binary64_5167` `frac-times_binary64_5203` `flip3-+_binary64_5196` `associate-/l/_binary64_5140` `associate-*r/_binary64_5135`
7×	`flip3--_binary64_5197` `flip--_binary64_5168`
6×	`distribute-rgt-in_binary64_5143` `cancel-sign-sub-inv_binary64_5159` `distribute-lft-in_binary64_5142`
4×	`add-log-exp_binary64_5232` `associate-*l/_binary64_5136` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
3×	`pow-prod-down_binary64_5264` `-commutative_binary64_5124` `times-frac_binary64_5199` `associate-/r_binary64_5137` `unswap-sqr_binary64_5161`
2×	`sub-neg_binary64_5186` `cbrt-undiv_binary64_5227` `div-exp_binary64_5244` `associate-/r/_binary64_5139`
1×	`distribute-lft-out--_binary64_5145` `associate-/l*_binary64_5138` `distribute-lft-out_binary64_5144` `div-inv_binary64_5190` `clear-num_binary64_5192` `difference-of-squares_binary64_5162` `frac-2neg_binary64_5204`

Counts

4 → 112

Calls

8 calls:

26.0ms	(/.f64 (.f64 (-.f64 (.f64 x (+.f64 y z)) z) (+.f64 (.f64 x (-.f64 y z)) z)) (+.f64 (.f64 x (-.f64 y z)) z))
15.0ms	(.f64 (-.f64 (.f64 x (+.f64 y z)) z) (+.f64 (*.f64 x (-.f64 y z)) z))
7.0ms	(*.f64 x (-.f64 y z))
6.0ms	(*.f64 x (+.f64 y z))
0.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)

series712.0ms (14.6%)

Counts

4 → 69

Calls

4 calls:

373.0ms	(.f64 (-.f64 (.f64 x (+.f64 y z)) z) (+.f64 (*.f64 x (-.f64 y z)) z))
142.0ms	(/.f64 (.f64 (-.f64 (.f64 x (+.f64 y z)) z) (+.f64 (.f64 x (-.f64 y z)) z)) (+.f64 (.f64 x (-.f64 y z)) z))
102.0ms	(*.f64 x (-.f64 y z))
94.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 2201 to 1436 computations (34.8% saved)

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	6595	3153

prune127.0ms (2.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	181	5	186

Error

Counts

186 → 5

Compiler

Compiled 4722 to 554 computations (88.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	252
1	79	252

regimes80.0ms (1.6%)

Compiler: Compiled 507 to 372 computations (26.6% saved)

bsearch0.0ms (0%)

regimes50.0ms (1%)

Compiler: Compiled 132 to 177 computations (-34.1% saved)

bsearch0.0ms (0%)

regimes104.0ms (2.1%)

Compiler: Compiled 90 to 141 computations (-56.7% saved)

bsearch30.0ms (0.6%)

Steps

Iters	Range		Point
8	2.787851692370991e-28	1.2887706957549124e-23	1.2686507449661718e-23
10	-109303372001.62778	-0.0040806142746021125	-0.991866159979669

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes112.0ms (2.3%)

Compiler: Compiled 75 to 126 computations (-68% saved)

bsearch21.0ms (0.4%)

Steps

Iters	Range		Point
8	1.3710605033338818e-84	3.598468283980534e-80	2.8756048946800847e-84
4	-1.8877139653897976e-38	-1.0619047764664301e-38	-1.212521104282855e-38

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.7%)

Compiler: Compiled 45 to 93 computations (-106.7% saved)

bsearch0.0ms (0%)

regimes86.0ms (1.8%)

Compiler: Compiled 30 to 78 computations (-160% saved)

bsearch61.0ms (1.2%)

Steps

Iters	Range		Point
10	4.14093411271254e+177	1.2712295795515734e+190	4.2228592406086e+177
7	1.2251483430500817e+63	2.5071458823905792e+64	2.3936200402628776e+64
8	9.092735602871883e-79	1.6767930608218287e-74	1.504966979763987e-74
9	-1.0619047764664301e-38	-5.395734972780934e-44	-1.2175369473581856e-40

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes31.0ms (0.6%)

Compiler: Compiled 21 to 66 computations (-214.3% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.5%)

Accuracy

Total 0.0b remaining (73.1%)

Threshold costs 0.0b (73.1%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch8.0ms (0.2%)

Compiler: Compiled 99 to 70 computations (29.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	87	125
1	87	125

end0.0ms (0%)

sample817.0ms (16.8%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
18.0ms	646×	body	128	invalid

Compiler

Compiled 262 to 204 computations (22.1% saved)

Pareto

0.5091799357462423

Details

analyze312.0ms (6.4%)

sample17.0ms (0.4%)

simplify110.0ms (2.3%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite14.0ms (0.3%)

series188.0ms (3.9%)

simplify66.0ms (1.4%)

prune47.0ms (1%)

localize5.0ms (0.1%)

rewrite15.0ms (0.3%)

series205.0ms (4.2%)

simplify64.0ms (1.3%)

prune44.0ms (0.9%)

localize10.0ms (0.2%)

rewrite29.0ms (0.6%)

series1.0s (21.3%)

simplify84.0ms (1.7%)

prune129.0ms (2.6%)

localize13.0ms (0.3%)

rewrite68.0ms (1.4%)

series712.0ms (14.6%)

simplify90.0ms (1.8%)

prune127.0ms (2.6%)

simplify6.0ms (0.1%)

regimes80.0ms (1.6%)

bsearch0.0ms (0%)

regimes50.0ms (1%)

bsearch0.0ms (0%)

regimes104.0ms (2.1%)

bsearch30.0ms (0.6%)

regimes112.0ms (2.3%)

bsearch21.0ms (0.4%)

regimes35.0ms (0.7%)

bsearch0.0ms (0%)

regimes86.0ms (1.8%)

bsearch61.0ms (1.2%)

regimes31.0ms (0.6%)

bsearch0.0ms (0%)

regimes26.0ms (0.5%)

bsearch8.0ms (0.2%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample817.0ms (16.8%)

Profiling