Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify101.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune2.0ms (0%)

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 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_1101`
5×	`add-sqr-sqrt_binary64_1123` `associate-r_binary64_1041`
3×	`distribute-lft-out_binary64_1052` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
2×	`associate-*r/_binary64_1043`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `flip3-+_binary64_1104` `pow-prod-down_binary64_1172` `flip-+_binary64_1075` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051`

Counts

1 → 24

Calls

2 calls:

8.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

series134.0ms (3.3%)

Counts

1 → 21

Calls

1 calls:

134.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 273 to 252 computations (7.7% saved)

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5029	456

prune38.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

0.0b

Counts

46 → 4

Compiler

Compiled 457 to 100 computations (78.1% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
0.0b	(*.f64 a (+.f64 b c))
0.0b	(*.f64 a (+.f64 b c))
0.0b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
3×	`associate-l_binary64_1042`
2×	`distribute-lft-out_binary64_1052` `distribute-lft-in_binary64_1050` `flip3-+_binary64_1104` `associate-*r/_binary64_1043` `flip-+_binary64_1075` `distribute-rgt-in_binary64_1051` `associate-+l+_binary64_1034`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `sum-log_binary64_1192` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

2 → 37

Calls

4 calls:

6.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
6.0ms	(*.f64 a (+.f64 b c))
0.0ms	(*.f64 a (+.f64 b c))
0.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

series257.0ms (6.2%)

Counts

2 → 36

Calls

2 calls:

175.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
81.0ms	(*.f64 a (+.f64 b c))

Compiler

Compiled 507 to 453 computations (10.7% saved)

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4951	681
1	4951	681

prune42.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Error

Counts

77 → 5

Compiler

Compiled 787 to 160 computations (79.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 b a) (.f64 a (+.f64 c d)))
0.0b	(*.f64 a (+.f64 c d))
0.0b	(*.f64 a (+.f64 c d))
0.0b	(+.f64 (.f64 b a) (.f64 a (+.f64 c d)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
3×	`associate-l_binary64_1042`
2×	`distribute-lft-in_binary64_1050` `associate-+r+_binary64_1033` `flip3-+_binary64_1104` `associate-*r/_binary64_1043` `flip-+_binary64_1075` `distribute-rgt-in_binary64_1051`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

2 → 36

Calls

4 calls:

6.0ms	(*.f64 a (+.f64 c d))
4.0ms	(+.f64 (.f64 b a) (.f64 a (+.f64 c d)))
0.0ms	(*.f64 a (+.f64 c d))
0.0ms	(+.f64 (.f64 b a) (.f64 a (+.f64 c d)))

series267.0ms (6.5%)

Counts

2 → 36

Calls

2 calls:

187.0ms	(+.f64 (.f64 b a) (.f64 a (+.f64 c d)))
79.0ms	(*.f64 a (+.f64 c d))

Compiler

Compiled 507 to 453 computations (10.7% saved)

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5463	674

prune39.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	73	4	77

Error

Counts

77 → 4

Compiler

Compiled 769 to 155 computations (79.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.3b	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
0.3b	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
0.3b	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_1101`
11×	`add-sqr-sqrt_binary64_1123` `associate-l_binary64_1042`
9×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
7×	`sqrt-prod_binary64_1117` `add-cube-cbrt_binary64_1136` `associate-r_binary64_1041`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `associate-*l/_binary64_1044`
3×	`distribute-lft-out_binary64_1052`
2×	`-commutative_binary64_1032` `add-log-exp_binary64_1140` `flip3-+_binary64_1104` `associate-r/_binary64_1043` `flip-+_binary64_1075` `unswap-sqr_binary64_1069`

Counts

2 → 49

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
10.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
0.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))

series312.0ms (7.6%)

Counts

2 → 42

Calls

2 calls:

177.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
134.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

Compiler

Compiled 860 to 676 computations (21.4% saved)

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4947	1088
1	4947	1088

prune47.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Error

Counts

95 → 4

Compiler

Compiled 1081 to 173 computations (84% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	146	326
1	146	326

regimes126.0ms (3%)

Compiler: Compiled 904 to 752 computations (16.8% saved)

bsearch0.0ms (0%)

regimes192.0ms (4.7%)

Compiler: Compiled 144 to 252 computations (-75% saved)

bsearch22.0ms (0.5%)

Steps

Iters	Range		Point
8	2.9761330773773676e-37	1.4615845647707317e-33	1.4430552206509354e-33
4	4.054672167709391e-72	6.85228022804372e-72	4.105778033834989e-72
2	8.355321724877181e-134	9.701504976567437e-134	9.47699046425201e-134

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes190.0ms (4.6%)

Compiler: Compiled 116 to 224 computations (-93.1% saved)

bsearch23.0ms (0.5%)

Steps

Iters	Range		Point
8	2.9761330773773676e-37	1.4615845647707317e-33	1.4430552206509354e-33
4	4.054672167709391e-72	6.85228022804372e-72	4.105778033834989e-72
2	8.355321724877181e-134	9.701504976567437e-134	9.47699046425201e-134

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes164.0ms (4%)

Compiler: Compiled 96 to 200 computations (-108.3% saved)

bsearch24.0ms (0.6%)

Steps

Iters	Range	Point
1	1.1180478139280572e-76	1.1778509778795131e-76	1.162900186891649e-76
6	1.6856982620936816e-102	1.1229775181933983e-101	1.7044240459527901e-102
7	1.0896263343695898e-149	2.6386098464857918e-148	2.6106734504547696e-148

Iters

Range

Point

1.1180478139280572e-76

1.1778509778795131e-76

1.162900186891649e-76

1.6856982620936816e-102

1.1229775181933983e-101

1.7044240459527901e-102

1.0896263343695898e-149

2.6386098464857918e-148

2.6106734504547696e-148

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes110.0ms (2.7%)

Compiler: Compiled 76 to 176 computations (-131.6% saved)

bsearch12.0ms (0.3%)

Steps

Iters	Range		Point
7	6.976116147556165e-64	7.130882392359001e-62	7.0293102230234446e-62

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes163.0ms (4%)

Compiler: Compiled 56 to 152 computations (-171.4% saved)

bsearch49.0ms (1.2%)

Steps

Iters	Range		Point
7	1.6657689182054456e-105	5.065446057947511e-104	2.7784378368721608e-104
7	7.942231860948172e-162	6.966410785884797e-160	6.823316290593219e-160
7	1.0286946976232355e-258	1.994164014917271e-257	1.0372729821035119e-258
5	3.8991795527689334e-275	1.2396614681715805e-274	1.2085577424189088e-274
5	1.0284577472370054e-283	2.3271475982892834e-283	1.0382906979803629e-283

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes114.0ms (2.8%)

Compiler: Compiled 44 to 132 computations (-200% saved)

bsearch29.0ms (0.7%)

Steps

Iters	Range		Point
7	1.1536788553862371e-69	3.167335583862259e-68	3.133161448614818e-68
5	1.026471256515681e-93	2.9969476191009874e-93	1.0488276607418648e-93
7	1.0896263343695898e-149	2.6386098464857918e-148	2.6106734504547696e-148

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes36.0ms (0.9%)

Compiler: Compiled 32 to 112 computations (-250% saved)

bsearch0.0ms (0%)

regimes34.0ms (0.8%)

Accuracy

Total 0.0b remaining (95.9%)

Threshold costs 0.0b (95.9%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch10.0ms (0.2%)

Compiler: Compiled 183 to 120 computations (34.4% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	99	233
1	99	233

end0.0ms (0%)

sample1.2s (28.8%)

Algorithm

1×

intervals

Results

318.0ms	8000×	pre	128	true
203.0ms	8000×	body	128	valid

Compiler

Compiled 418 to 336 computations (19.6% saved)

Pareto

0.3391841118339899

Details

analyze3.0ms (0.1%)

sample25.0ms (0.6%)

simplify101.0ms (2.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite10.0ms (0.2%)

series134.0ms (3.3%)

simplify74.0ms (1.8%)

prune38.0ms (0.9%)

localize6.0ms (0.2%)

rewrite15.0ms (0.4%)

series257.0ms (6.2%)

simplify58.0ms (1.4%)

prune42.0ms (1%)

localize7.0ms (0.2%)

rewrite12.0ms (0.3%)

series267.0ms (6.5%)

simplify66.0ms (1.6%)

prune39.0ms (0.9%)

localize7.0ms (0.2%)

rewrite25.0ms (0.6%)

series312.0ms (7.6%)

simplify71.0ms (1.7%)

prune47.0ms (1.1%)

simplify7.0ms (0.2%)

regimes126.0ms (3%)

bsearch0.0ms (0%)

regimes192.0ms (4.7%)

bsearch22.0ms (0.5%)

regimes190.0ms (4.6%)

bsearch23.0ms (0.5%)

regimes164.0ms (4%)

bsearch24.0ms (0.6%)

regimes110.0ms (2.7%)

bsearch12.0ms (0.3%)

regimes163.0ms (4%)

bsearch49.0ms (1.2%)

regimes114.0ms (2.8%)

bsearch29.0ms (0.7%)

regimes36.0ms (0.9%)

bsearch0.0ms (0%)

regimes34.0ms (0.8%)

bsearch10.0ms (0.2%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample1.2s (28.8%)

Profiling