Details

analyze269.0ms (16.8%)

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
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify24.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	232	13
1	232	13

prune4.0ms (0.3%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

series10.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

simplify95.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4995	260
1	4995	260

prune12.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

Compiler

Compiled 242 to 139 computations (42.6% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
3.0b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
3.0b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
3.0b	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

rewrite28.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
5.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

series101.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
26.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
23.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
23.0ms	(cbrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

simplify96.0ms (6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4915	2532
1	4915	2532

prune107.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

Compiler

Compiled 3800 to 2199 computations (42.1% saved)

regimes190.0ms (11.9%)

Compiler: Compiled 333 to 267 computations (19.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample625.0ms (39%)

Algorithm

1×

intervals

Results

220.0ms	8000×	body	80	valid
13.0ms	489×	body	80	invalid

Compiler

Compiled 60 to 49 computations (18.3% saved)

Details

analyze269.0ms (16.8%)

sample16.0ms (1%)

simplify24.0ms (1.5%)

prune4.0ms (0.3%)

localize6.0ms (0.4%)

rewrite5.0ms (0.3%)

series10.0ms (0.7%)

simplify95.0ms (5.9%)

prune12.0ms (0.8%)

localize10.0ms (0.6%)

rewrite28.0ms (1.8%)

series101.0ms (6.3%)

simplify96.0ms (6%)

prune107.0ms (6.7%)

regimes190.0ms (11.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample625.0ms (39%)

Profiling