Details

analyze302.0ms (8.9%)

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
0%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	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)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify105.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune3.0ms (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)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_18117` `add-sqr-sqrt_binary64_18173`
10×	`*-un-lft-identity_binary64_18151`
8×	`distribute-rgt-in_binary64_18101` `add-cube-cbrt_binary64_18186` `distribute-lft-in_binary64_18100` `associate-+r+_binary64_18083`
5×	`associate-r_binary64_18091`
4×	`pow1_binary64_18212` `add-cbrt-cube_binary64_18187` `sub-neg_binary64_18144` `add-exp-log_binary64_18189` `add-log-exp_binary64_18190`
3×	`associate-l_binary64_18092`
2×	`associate-*r/_binary64_18093`
1×	`flip3--_binary64_18155` `unswap-sqr_binary64_18119` `pow-prod-down_binary64_18222` `*-commutative_binary64_18082` `flip-+_binary64_18125` `+-commutative_binary64_18081` `distribute-lft-out--_binary64_18103` `flip--_binary64_18126` `sum-log_binary64_18242` `difference-of-squares_binary64_18120` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `flip3-+_binary64_18154`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 z y))
4.0ms	(+.f64 y (*.f64 x (-.f64 z y)))

series219.0ms (6.5%)

Counts

2 → 33

Calls

2 calls:

120.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
99.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 387 to 328 computations (15.2% saved)

simplify85.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4912	764
1	4912	764

prune47.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Error

Counts

84 → 4

Compiler

Compiled 846 to 181 computations (78.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_18173`
7×	`*-un-lft-identity_binary64_18151`
6×	`associate-l_binary64_18092`
4×	`pow1_binary64_18212` `add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189` `add-cube-cbrt_binary64_18186` `add-log-exp_binary64_18190`
3×	`associate-r_binary64_18091`
2×	`associate-*l/_binary64_18094` `difference-of-squares_binary64_18120`
1×	`flip3--_binary64_18155` `unswap-sqr_binary64_18119` `pow-prod-down_binary64_18222` `*-commutative_binary64_18082` `flip-+_binary64_18125` `+-commutative_binary64_18081` `distribute-lft-out--_binary64_18103` `flip--_binary64_18126` `sum-log_binary64_18242` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `flip3-+_binary64_18154`

Counts

2 → 34

Calls

2 calls:

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

series191.0ms (5.6%)

Counts

2 → 27

Calls

2 calls:

131.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
61.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 332 to 283 computations (14.8% saved)

simplify66.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5615	606

prune35.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Error

Counts

65 → 4

Compiler

Compiled 698 to 289 computations (58.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
0.5b	(cbrt.f64 (-.f64 z y))
0.5b	(cbrt.f64 (-.f64 z y))
0.5b	(cbrt.f64 (-.f64 z y))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_18182`
37×	`add-sqr-sqrt_binary64_18173`
35×	`*-un-lft-identity_binary64_18151`
18×	`cbrt-div_binary64_18183`
15×	`add-cube-cbrt_binary64_18186`
11×	`pow1_binary64_18212`
10×	`swap-sqr_binary64_18118`
9×	`flip3--_binary64_18155` `pow1/3_binary64_18233` `distribute-lft-out--_binary64_18103` `flip--_binary64_18126`
8×	`associate-r_binary64_18091` `associate-l_binary64_18092`
7×	`difference-of-squares_binary64_18120`
6×	`add-exp-log_binary64_18189`
4×	`unswap-sqr_binary64_18119` `add-cbrt-cube_binary64_18187` `frac-times_binary64_18161` `add-log-exp_binary64_18190`
2×	`pow-sqr_binary64_18124` `associate-r/_binary64_18093` `associate-l/_binary64_18094` `pow-prod-down_binary64_18222` `pow-prod-up_binary64_18221`
1×	`pow-plus_binary64_18214` `pow2_binary64_18232` `*-commutative_binary64_18082` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))

series289.0ms (8.5%)

Counts

4 → 31

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
70.0ms	(cbrt.f64 (-.f64 z y))
64.0ms	(cbrt.f64 (-.f64 z y))
64.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 1466 to 1122 computations (23.5% saved)

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5067	1779

prune109.0ms (3.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Error

Counts

136 → 4

Compiler

Compiled 2986 to 850 computations (71.5% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (/.f64 (.f64 x (-.f64 (.f64 z z) (*.f64 y y))) (+.f64 z y)))
1.3b	(-.f64 (.f64 z z) (.f64 y y))
9.8b	(.f64 x (-.f64 (.f64 z z) (*.f64 y y)))
19.6b	(/.f64 (.f64 x (-.f64 (.f64 z z) (*.f64 y y))) (+.f64 z y))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_18151`
11×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
10×	`add-sqr-sqrt_binary64_18173`
8×	`add-cube-cbrt_binary64_18186` `add-log-exp_binary64_18190`
6×	`pow1_binary64_18212`
4×	`associate-r/_binary64_18093` `associate-r_binary64_18091` `times-frac_binary64_18157` `associate-/r_binary64_18095`
3×	`flip3--_binary64_18155` `distribute-lft-out_binary64_18102` `cancel-sign-sub-inv_binary64_18117` `sub-neg_binary64_18144` `flip--_binary64_18126` `associate-l_binary64_18092`
2×	`div-exp_binary64_18202` `associate-/l/_binary64_18098` `flip-+_binary64_18125` `distribute-rgt-in_binary64_18101` `associate-/r/_binary64_18097` `difference-of-squares_binary64_18120` `distribute-lft-in_binary64_18100` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185` `flip3-+_binary64_18154`
1×	`div-inv_binary64_18148` `diff-log_binary64_18243` `associate-/l_binary64_18096` `unswap-sqr_binary64_18119` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `+-commutative_binary64_18081` `clear-num_binary64_18150` `sum-log_binary64_18242` `frac-2neg_binary64_18162`

Counts

4 → 77

Calls

4 calls:

10.0ms	(/.f64 (.f64 x (-.f64 (.f64 z z) (*.f64 y y))) (+.f64 z y))
7.0ms	(+.f64 y (/.f64 (.f64 x (-.f64 (.f64 z z) (*.f64 y y))) (+.f64 z y)))
7.0ms	(.f64 x (-.f64 (.f64 z z) (*.f64 y y)))
4.0ms	(-.f64 (.f64 z z) (.f64 y y))

series841.0ms (24.8%)

Counts

4 → 60

Calls

4 calls:

357.0ms	(+.f64 y (/.f64 (.f64 x (-.f64 (.f64 z z) (*.f64 y y))) (+.f64 z y)))
220.0ms	(/.f64 (.f64 x (-.f64 (.f64 z z) (*.f64 y y))) (+.f64 z y))
167.0ms	(.f64 x (-.f64 (.f64 z z) (*.f64 y y)))
96.0ms	(-.f64 (.f64 z z) (.f64 y y))

Compiler

Compiled 1149 to 912 computations (20.6% saved)

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5055	1669

prune76.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	137	4	141

Error

Counts

141 → 4

Compiler

Compiled 2000 to 334 computations (83.3% saved)

regimes81.0ms (2.4%)

Accuracy

Total 0.0b remaining (87.6%)

Threshold costs 0.0b (87.6%)

Compiler

Compiled 456 to 386 computations (15.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample636.0ms (18.8%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	128	valid
21.0ms	634×	body	128	invalid

Compiler

Compiled 132 to 112 computations (15.2% saved)

Details

analyze302.0ms (8.9%)

sample19.0ms (0.6%)

simplify105.0ms (3.1%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite15.0ms (0.5%)

series219.0ms (6.5%)

simplify85.0ms (2.5%)

prune47.0ms (1.4%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series191.0ms (5.6%)

simplify66.0ms (1.9%)

prune35.0ms (1%)

localize13.0ms (0.4%)

rewrite31.0ms (0.9%)

series289.0ms (8.5%)

simplify76.0ms (2.2%)

prune109.0ms (3.2%)

localize12.0ms (0.4%)

rewrite35.0ms (1%)

series841.0ms (24.8%)

simplify75.0ms (2.2%)

prune76.0ms (2.2%)

regimes81.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample636.0ms (18.8%)

Profiling