Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample10.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify131.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10

prune2.0ms (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 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_419`
28×	`add-sqr-sqrt_binary64_441`
24×	`times-frac_binary64_425`
13×	`add-cube-cbrt_binary64_454`
10×	`difference-of-squares_binary64_388`
7×	`distribute-lft-out_binary64_370`
6×	`associate-/r*_binary64_363`
5×	`distribute-lft-out--_binary64_371`
4×	`associate-/l*_binary64_364`
3×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
2×	`associate-/r/_binary64_365` `associate-/l/_binary64_366`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `add-log-exp_binary64_458` `div-inv_binary64_416` `flip3--_binary64_423` `frac-2neg_binary64_430` `flip-+_binary64_393` `flip--_binary64_394` `pow1_binary64_480` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

1 → 50

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

series13.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

simplify69.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4926	942
1	4926	942

prune46.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

Compiler

Compiled 789 to 591 computations (25.1% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
0.0b	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
0.0b	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
0.0b	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))

rewrite112.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Rules

365×	`*-un-lft-identity_binary64_419`
270×	`cbrt-prod_binary64_450`
222×	`times-frac_binary64_425`
213×	`add-sqr-sqrt_binary64_441`
93×	`add-cube-cbrt_binary64_454`
64×	`difference-of-squares_binary64_388`
62×	`distribute-lft-out_binary64_370`
57×	`swap-sqr_binary64_386`
44×	`distribute-lft-out--_binary64_371`
33×	`associate-r_binary64_359` `associate-l_binary64_360`
14×	`associate-/r/_binary64_365`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501` `unswap-sqr_binary64_387`
7×	`cbrt-div_binary64_451` `div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`associate-l/_binary64_362` `frac-times_binary64_429` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r/_binary64_361` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 270

Calls

4 calls:

43.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
8.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))

series105.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
25.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
25.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
24.0ms	(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))

simplify131.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5710	8157

prune646.0ms (38.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	282	0	282
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	282	2	284

Error

Counts

284 → 2

Compiler

Compiled 9951 to 7790 computations (21.7% saved)

regimes23.0ms (1.4%)

Accuracy

Total 0.0b remaining (86.8%)

Threshold costs 0.0b (86.8%)

Compiler

Compiled 162 to 134 computations (17.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample378.0ms (22.3%)

Algorithm

1×

intervals

Results

173.0ms

8000×

body

128

valid

Compiler

Compiled 88 to 74 computations (15.9% saved)

Details

analyze3.0ms (0.2%)

sample10.0ms (0.6%)

simplify131.0ms (7.7%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite12.0ms (0.7%)

series13.0ms (0.8%)

simplify69.0ms (4.1%)

prune46.0ms (2.7%)

localize8.0ms (0.5%)

rewrite112.0ms (6.6%)

series105.0ms (6.2%)

simplify131.0ms (7.7%)

prune646.0ms (38.1%)

regimes23.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample378.0ms (22.3%)

Profiling