Details

analyze462.0ms (11.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4793	44
1	4793	44
0	2	2
1	2	2

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample43.0ms (1.1%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify293.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (282.0ms)

Iter	Nodes	Cost
0	4710	22
1	4710	22

prune5.0ms (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

62.0b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize17.0ms (0.4%)

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)))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate--r+_binary64_696`
7×	`cancel-sign-sub-inv_binary64_726`
4×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
3×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `sub-neg_binary64_753` `add-sqr-sqrt_binary64_782`
1×	`diff-log_binary64_852` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821` `flip--_binary64_735` `flip3--_binary64_764`

Counts

1 → 20

Calls

1 calls:

12.0ms

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

series168.0ms (4.1%)

Counts

1 → 7

Calls

1 calls:

168.0ms

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

Compiler

Compiled 123 to 124 computations (-0.8% saved)

simplify126.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4947	544
1	4947	544

prune51.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	1	28

Error

52.0b

Counts

28 → 1

Compiler

Compiled 521 to 344 computations (34% saved)

localize21.0ms (0.5%)

Local error

Found 1 expressions with local error:

23.0b

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cancel-sign-sub-inv_binary64_726`
3×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `unpow-prod-down_binary64_839` `add-sqr-sqrt_binary64_782`
1×	`diff-log_binary64_852` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqr-pow_binary64_732` `pow1_binary64_821` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

1 → 18

Calls

1 calls:

12.0ms

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

series354.0ms (8.7%)

Counts

1 → 12

Calls

1 calls:

354.0ms

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

Compiler

Compiled 264 to 234 computations (11.4% saved)

simplify155.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	5269	370

prune58.0ms (1.4%)

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 558 to 403 computations (27.8% saved)

localize31.0ms (0.8%)

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))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_791`
7×	`*-un-lft-identity_binary64_760` `cancel-sign-sub-inv_binary64_726` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
6×	`unpow-prod-down_binary64_839`
4×	`add-log-exp_binary64_799`
3×	`cube-prod_binary64_788`
2×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cbrt-div_binary64_792` `cube-div_binary64_789` `sqr-pow_binary64_732` `pow1_binary64_821` `flip--_binary64_735` `flip3--_binary64_764`
1×	`pow1/3_binary64_842` `cube-mult_binary64_790` `rem-cbrt-cube_binary64_784` `diff-log_binary64_852` `unpow3_binary64_826` `sub-neg_binary64_753`

Counts

2 → 41

Calls

2 calls:

14.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
12.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series722.0ms (17.7%)

Counts

2 → 24

Calls

2 calls:

385.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
336.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))

Compiler

Compiled 582 to 522 computations (10.3% saved)

simplify101.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5079	1024

prune142.0ms (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 1382 to 1034 computations (25.2% saved)

regimes98.0ms (2.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 424 to 362 computations (14.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	61	27
1	61	27

end0.0ms (0%)

sample1.2s (28.3%)

Algorithm

1×

intervals

Results

473.0ms	8000×	body	128	valid
269.0ms	8000×	pre	128	true

Compiler

Compiled 90 to 76 computations (15.6% saved)

Details

analyze462.0ms (11.3%)

sample43.0ms (1.1%)

simplify293.0ms (7.2%)

prune5.0ms (0.1%)

localize17.0ms (0.4%)

rewrite16.0ms (0.4%)

series168.0ms (4.1%)

simplify126.0ms (3.1%)

prune51.0ms (1.3%)

localize21.0ms (0.5%)

rewrite15.0ms (0.4%)

series354.0ms (8.7%)

simplify155.0ms (3.8%)

prune58.0ms (1.4%)

localize31.0ms (0.8%)

rewrite33.0ms (0.8%)

series722.0ms (17.7%)

simplify101.0ms (2.5%)

prune142.0ms (3.5%)

regimes98.0ms (2.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.2s (28.3%)

Profiling