Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample22.0ms (1.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify234.0ms (15.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4710	22
1	4710	22

prune2.0ms (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)

localize9.0ms (0.6%)

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 (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate--r+_binary64_1378`
7×	`cancel-sign-sub-inv_binary64_1408`
4×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
3×	`sub-neg_binary64_1435` `add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
1×	`add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `add-exp-log_binary64_1480` `flip--_binary64_1417` `diff-log_binary64_1534` `pow1_binary64_1503`

Counts

1 → 20

Calls

1 calls:

6.0ms

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

series57.0ms (3.8%)

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify58.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4956	542
1	4956	542

prune25.0ms (1.6%)

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)

localize11.0ms (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_1408`
3×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `unpow-prod-down_binary64_1521`
1×	`add-cbrt-cube_binary64_1478` `sub-neg_binary64_1435` `flip3--_binary64_1446` `add-exp-log_binary64_1480` `flip--_binary64_1417` `diff-log_binary64_1534` `sqr-pow_binary64_1414` `pow1_binary64_1503`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series40.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify69.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (61.0ms)

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)

localize14.0ms (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))

rewrite19.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
7×	`cancel-sign-sub-inv_binary64_1408` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`unpow-prod-down_binary64_1521`
4×	`add-log-exp_binary64_1481`
3×	`cube-prod_binary64_1470`
2×	`add-cbrt-cube_binary64_1478` `cbrt-div_binary64_1474` `flip3--_binary64_1446` `add-exp-log_binary64_1480` `flip--_binary64_1417` `sqr-pow_binary64_1414` `cube-div_binary64_1471` `pow1_binary64_1503`
1×	`cube-mult_binary64_1472` `sub-neg_binary64_1435` `diff-log_binary64_1534` `unpow3_binary64_1508` `pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466`

Counts

2 → 41

Calls

2 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))

series80.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
36.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify49.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5079	844

prune59.0ms (3.9%)

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)

regimes48.0ms (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%)

sample663.0ms (44.2%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
159.0ms	8000×	pre	128	true

Compiler

Compiled 90 to 76 computations (15.6% saved)

Details

analyze2.0ms (0.1%)

sample22.0ms (1.4%)

simplify234.0ms (15.6%)

prune2.0ms (0.2%)

localize9.0ms (0.6%)

rewrite8.0ms (0.5%)

series57.0ms (3.8%)

simplify58.0ms (3.8%)

prune25.0ms (1.6%)

localize11.0ms (0.7%)

rewrite8.0ms (0.5%)

series40.0ms (2.7%)

simplify69.0ms (4.6%)

prune23.0ms (1.5%)

localize14.0ms (0.9%)

rewrite19.0ms (1.3%)

series80.0ms (5.3%)

simplify49.0ms (3.3%)

prune59.0ms (3.9%)

regimes48.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample663.0ms (44.2%)

Profiling