Details

analyze582.0ms (19.4%)

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)

sample29.0ms (1%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify188.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
5×	`add-cube-cbrt_binary64_5910`
4×	`add-exp-log_binary64_5913` `associate-r_binary64_5815` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `add-log-exp_binary64_5914`
3×	`cancel-sign-sub-inv_binary64_5841` `associate-l_binary64_5816`
2×	`distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `associate-*r/_binary64_5817` `associate--l+_binary64_5812`
1×	`flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `flip3-+_binary64_5878` `pow-prod-down_binary64_5946` `diff-log_binary64_5967` `cbrt-unprod_binary64_5908` `sub-neg_binary64_5868` `unswap-sqr_binary64_5843` `prod-exp_binary64_5924` `flip3--_binary64_5879` `*-commutative_binary64_5806` `flip--_binary64_5850`

Counts

2 → 39

Calls

2 calls:

12.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
12.0ms	(*.f64 x (+.f64 y z))

series94.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(*.f64 x (+.f64 y z))
45.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)

simplify101.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5316	479

prune52.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Merged error: 0b

Counts

46 → 2

Compiler

Compiled 527 to 128 computations (75.7% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z)) z)
3.5b	(-.f64 (.f64 y y) (.f64 z z))
8.5b	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
20.3b	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z))

rewrite81.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_5897`
15×	`*-un-lft-identity_binary64_5875`
11×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
9×	`add-cube-cbrt_binary64_5910`
8×	`add-log-exp_binary64_5914`
6×	`cancel-sign-sub-inv_binary64_5841` `pow1_binary64_5936`
5×	`associate-/r*_binary64_5819` `times-frac_binary64_5881` `difference-of-squares_binary64_5844` `flip3--_binary64_5879` `flip--_binary64_5850`
4×	`sub-neg_binary64_5868` `associate-r_binary64_5815` `associate-*r/_binary64_5817`
3×	`distribute-lft-out--_binary64_5827` `associate-l_binary64_5816`
2×	`cbrt-undiv_binary64_5909` `associate-/r/_binary64_5821` `diff-log_binary64_5967` `cbrt-unprod_binary64_5908` `associate-/l/_binary64_5822` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `div-exp_binary64_5926` `prod-exp_binary64_5924`
1×	`pow-prod-down_binary64_5946` `div-inv_binary64_5872` `associate-/l_binary64_5820` `frac-2neg_binary64_5886` `unswap-sqr_binary64_5843` `-commutative_binary64_5806` `clear-num_binary64_5874`

Counts

4 → 83

Calls

4 calls:

24.0ms	(-.f64 (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z)) z)
21.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z))
15.0ms	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
8.0ms	(-.f64 (.f64 y y) (.f64 z z))

series501.0ms (16.7%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(-.f64 (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z)) z)
175.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z))
108.0ms	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
40.0ms	(-.f64 (.f64 y y) (.f64 z z))

simplify112.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5017	1455

prune116.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Merged error: 0b

Counts

97 → 2

Compiler

Compiled 1728 to 452 computations (73.8% saved)

regimes90.0ms (3%)

Compiler: Compiled 240 to 194 computations (19.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample990.0ms (33%)

Algorithm

1×

intervals

Results

438.0ms	8000×	body	128	valid
35.0ms	662×	body	128	invalid

Compiler

Compiled 71 to 58 computations (18.3% saved)

Details

analyze582.0ms (19.4%)

sample29.0ms (1%)

simplify188.0ms (6.3%)

prune5.0ms (0.2%)

localize10.0ms (0.3%)

rewrite29.0ms (1%)

series94.0ms (3.1%)

simplify101.0ms (3.4%)

prune52.0ms (1.7%)

localize19.0ms (0.6%)

rewrite81.0ms (2.7%)

series501.0ms (16.7%)

simplify112.0ms (3.7%)

prune116.0ms (3.9%)

regimes90.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample990.0ms (33%)

Profiling