Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample22.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 37 to 33 computations (10.8% saved)

simplify230.0ms (11.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5255	22

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

52.0b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cancel-sign-sub-inv_binary64_703`
3×	`add-log-exp_binary64_776` `add-cube-cbrt_binary64_772` `unpow-prod-down_binary64_816` `add-sqr-sqrt_binary64_759` `*-un-lft-identity_binary64_737`
1×	`add-cbrt-cube_binary64_773` `diff-log_binary64_829` `add-exp-log_binary64_775` `pow1_binary64_798` `sub-neg_binary64_730` `flip3--_binary64_741` `flip--_binary64_712` `sqr-pow_binary64_709`

Counts

1 → 18

Calls

2 calls:

7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
0.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series199.0ms (9.8%)

Counts

1 → 12

Calls

1 calls:

199.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 246 to 216 computations (12.2% saved)

simplify68.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5269	370

prune32.0ms (1.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	1	31

Error

52.0b

Counts

31 → 1

Compiler

Compiled 527 to 372 computations (29.4% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite18.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_768`
7×	`add-cube-cbrt_binary64_772` `add-sqr-sqrt_binary64_759` `cancel-sign-sub-inv_binary64_703` `*-un-lft-identity_binary64_737`
6×	`unpow-prod-down_binary64_816`
4×	`add-log-exp_binary64_776`
3×	`cube-prod_binary64_765`
2×	`add-cbrt-cube_binary64_773` `cbrt-div_binary64_769` `cube-div_binary64_766` `add-exp-log_binary64_775` `pow1_binary64_798` `flip3--_binary64_741` `flip--_binary64_712` `sqr-pow_binary64_709`
1×	`rem-cbrt-cube_binary64_761` `pow1/3_binary64_819` `diff-log_binary64_829` `unpow3_binary64_803` `sub-neg_binary64_730` `cube-mult_binary64_767`

Counts

2 → 41

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
0.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
0.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series403.0ms (19.8%)

Counts

2 → 24

Calls

2 calls:

206.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
196.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))

Compiler

Compiled 546 to 486 computations (11% saved)

simplify49.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5079	1024

prune72.0ms (3.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	1	66

Error

52.0b

Counts

66 → 1

Compiler

Compiled 1317 to 969 computations (26.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	49
1	31	49

regimes36.0ms (1.8%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 230 to 244 computations (-6.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	1
1	3	1

end0.0ms (0%)

sample863.0ms (42.5%)

Algorithm

1×

intervals

Results

326.0ms	8000×	body	128	valid
161.0ms	8000×	pre	128	true

Compiler

Compiled 130 to 134 computations (-3.1% saved)

Pareto

-0.7404479166252947

Details

analyze2.0ms (0.1%)

sample22.0ms (1.1%)

simplify230.0ms (11.3%)

prune3.0ms (0.1%)

localize9.0ms (0.5%)

rewrite9.0ms (0.4%)

series199.0ms (9.8%)

simplify68.0ms (3.4%)

prune32.0ms (1.6%)

localize12.0ms (0.6%)

rewrite18.0ms (0.9%)

series403.0ms (19.8%)

simplify49.0ms (2.4%)

prune72.0ms (3.5%)

simplify2.0ms (0.1%)

regimes36.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample863.0ms (42.5%)

Profiling