Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample24.0ms (1.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify235.0ms (15.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4710	22
1	4710	22

prune3.0ms (0.2%)

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

62.0b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

62.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate--r+_binary64_1037`
7×	`cancel-sign-sub-inv_binary64_1067`
4×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
3×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140` `sub-neg_binary64_1094` `add-cube-cbrt_binary64_1136`
1×	`diff-log_binary64_1193` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cbrt-cube_binary64_1137`

Counts

1 → 20

Calls

1 calls:

7.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

series59.0ms (4%)

Counts

1 → 3

Calls

1 calls:

59.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

simplify58.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4956	542
1	4956	542

prune25.0ms (1.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	1	24

Error

52.0b

Counts

24 → 1

Compiler

Compiled 519 to 337 computations (35.1% saved)

localize10.0ms (0.7%)

Local error

Found 1 expressions with local error:

23.0b

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

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cancel-sign-sub-inv_binary64_1067`
3×	`add-sqr-sqrt_binary64_1123` `unpow-prod-down_binary64_1180` `*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
1×	`diff-log_binary64_1193` `add-exp-log_binary64_1139` `pow1_binary64_1162` `sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cbrt-cube_binary64_1137` `sqr-pow_binary64_1073`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series41.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify71.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5269	280

prune23.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	1	22

Error

52.0b

Counts

22 → 1

Compiler

Compiled 433 to 319 computations (26.3% saved)

localize13.0ms (0.9%)

Local error

Found 2 expressions with local error:

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))

rewrite20.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1132`
7×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `cancel-sign-sub-inv_binary64_1067`
6×	`unpow-prod-down_binary64_1180`
4×	`add-log-exp_binary64_1140`
3×	`cube-prod_binary64_1129`
2×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `flip--_binary64_1076` `flip3--_binary64_1105` `cube-div_binary64_1130` `add-cbrt-cube_binary64_1137` `sqr-pow_binary64_1073` `cbrt-div_binary64_1133`
1×	`diff-log_binary64_1193` `cube-mult_binary64_1131` `pow1/3_binary64_1183` `sub-neg_binary64_1094` `unpow3_binary64_1167` `rem-cbrt-cube_binary64_1125`

Counts

2 → 41

Calls

2 calls:

10.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
6.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series77.0ms (5.2%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
38.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify48.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5079	844

prune58.0ms (4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	1	48

Error

52.0b

Counts

48 → 1

Compiler

Compiled 1105 to 839 computations (24.1% saved)

regimes47.0ms (3.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 424 to 362 computations (14.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	27
1	61	27

end0.0ms (0%)

sample637.0ms (43.2%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	128	valid
155.0ms	8000×	pre	128	true

Compiler

Compiled 90 to 76 computations (15.6% saved)

Details

analyze2.0ms (0.2%)

sample24.0ms (1.6%)

simplify235.0ms (15.9%)

prune3.0ms (0.2%)

localize8.0ms (0.5%)

rewrite8.0ms (0.6%)

series59.0ms (4%)

simplify58.0ms (3.9%)

prune25.0ms (1.7%)

localize10.0ms (0.7%)

rewrite8.0ms (0.5%)

series41.0ms (2.7%)

simplify71.0ms (4.8%)

prune23.0ms (1.5%)

localize13.0ms (0.9%)

rewrite20.0ms (1.3%)

series77.0ms (5.2%)

simplify48.0ms (3.3%)

prune58.0ms (4%)

regimes47.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample637.0ms (43.2%)

Profiling