Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample34.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	65×	body	1024	valid
6.0ms	134×	body	128	valid
4.0ms	31×	body	512	valid
2.0ms	9×	body	2048	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify305.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune9.0ms (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

Merged error: 30.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.5b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_442`
14×	`*-un-lft-identity_binary64_414`
13×	`add-sqr-sqrt_binary64_435`
5×	`add-cube-cbrt_binary64_446` `add-log-exp_binary64_450`
4×	`difference-of-squares_binary64_383`
3×	`distribute-lft-out--_binary64_368` `pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
2×	`cbrt-div_binary64_443` `distribute-lft-out_binary64_367` `pow1/3_binary64_493`
1×	`flip3--_binary64_418` `flip3-+_binary64_417` `diff-log_binary64_503` `sub-neg_binary64_407` `flip-+_binary64_388` `flip--_binary64_389`

Counts

3 → 43

Calls

3 calls:

19.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
6.0ms	(cbrt.f64 (+.f64 x 1))
2.0ms	(cbrt.f64 x)

series567.0ms (8.2%)

Counts

3 → 9

Calls

3 calls:

305.0ms	(cbrt.f64 x)
179.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
83.0ms	(cbrt.f64 (+.f64 x 1))

simplify160.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4976	720
1	4976	720

prune118.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0.3b

Counts

53 → 4

Compiler

Compiled 744 to 498 computations (33.1% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
11.0b	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
16.6b	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
21.0b	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))

rewrite117.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_435`
23×	`cbrt-prod_binary64_442`
11×	`*-un-lft-identity_binary64_414`
10×	`difference-of-squares_binary64_383`
8×	`times-frac_binary64_420`
7×	`add-cube-cbrt_binary64_446`
6×	`add-log-exp_binary64_450`
4×	`pow1_binary64_472` `cbrt-div_binary64_443` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
3×	`pow1/3_binary64_493`
2×	`flip3-+_binary64_417` `flip-+_binary64_388`
1×	`flip3--_binary64_418` `distribute-lft-out--_binary64_368` `diff-log_binary64_503` `sub-neg_binary64_407` `distribute-lft-out_binary64_367` `flip--_binary64_389`

Counts

4 → 60

Calls

4 calls:

76.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
14.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
12.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
2.0ms	(cbrt.f64 x)

series1.0s (15.1%)

Counts

4 → 12

Calls

4 calls:

379.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
305.0ms	(cbrt.f64 x)
268.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
96.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))

simplify132.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4895	1923
1	4895	1923

prune183.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Merged error: 0.3b

Counts

76 → 4

Compiler

Compiled 2041 to 1341 computations (34.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 -1/9 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
9×	`times-frac_binary64_420` `cbrt-prod_binary64_442`
6×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
4×	`pow1_binary64_472` `add-log-exp_binary64_450`
3×	`pow1/3_binary64_493` `associate-/l_binary64_361` `associate-/r_binary64_360`
1×	`clear-num_binary64_413` `div-inv_binary64_411` `cbrt-undiv_binary64_445` `frac-2neg_binary64_425` `div-exp_binary64_462`

Counts

4 → 60

Calls

4 calls:

6.0ms	(/.f64 -1/9 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series891.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt.f64 x)
287.0ms	(cbrt.f64 x)
281.0ms	(cbrt.f64 x)
35.0ms	(/.f64 -1/9 x)

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4879	502
1	4879	502

prune129.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	7	76

Merged error: 0.2b

Counts

76 → 7

Compiler

Compiled 1521 to 724 computations (52.4% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_442`
8×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
4×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `add-log-exp_binary64_450` `pow1/3_binary64_493`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series1.1s (16.2%)

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt.f64 x)
292.0ms	(cbrt.f64 x)
272.0ms	(cbrt.f64 x)
267.0ms	(cbrt.f64 x)

simplify111.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4995	340
1	4995	340

prune109.0ms (1.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	53	10	63

Merged error: 0.2b

Counts

63 → 10

Compiler

Compiled 1576 to 537 computations (65.9% saved)

regimes80.0ms (1.2%)

Compiler: Compiled 233 to 152 computations (34.8% saved)

bsearch66.0ms (1%)

Steps

Iters	Range		Point
11	22.042716791830685	2.1807928575039744e+23	88285.72354162089
10	-16075832786935726.0	-45405.83780456626	-85485.46404453504

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	67
1	57	67

end0.0ms (0%)

sample1.5s (21.3%)

Algorithm

1×

intervals

Results

374.0ms	1991×	body	1024	valid
199.0ms	4298×	body	128	valid
131.0ms	999×	body	512	valid
54.0ms	225×	body	2048	valid
46.0ms	487×	body	256	valid

Compiler

Compiled 282 to 187 computations (33.7% saved)

Details

analyze3.0ms (0%)

sample34.0ms (0.5%)

simplify305.0ms (4.4%)

prune9.0ms (0.1%)

localize11.0ms (0.2%)

rewrite33.0ms (0.5%)

series567.0ms (8.2%)

simplify160.0ms (2.3%)

prune118.0ms (1.7%)

localize30.0ms (0.4%)

rewrite117.0ms (1.7%)

series1.0s (15.1%)

simplify132.0ms (1.9%)

prune183.0ms (2.6%)

localize22.0ms (0.3%)

rewrite21.0ms (0.3%)

series891.0ms (12.8%)

simplify114.0ms (1.6%)

prune129.0ms (1.9%)

localize27.0ms (0.4%)

rewrite17.0ms (0.2%)

series1.1s (16.2%)

simplify111.0ms (1.6%)

prune109.0ms (1.6%)

regimes80.0ms (1.2%)

bsearch66.0ms (1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.5s (21.3%)

Profiling