Details

analyze1.0ms (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)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	70×	body	1024	valid
4.0ms	141×	body	128	valid
2.0ms	24×	body	512	valid
1.0ms	9×	body	2048	valid
1.0ms	12×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify170.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0%)

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: 28.7b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite16.0ms (0.4%)

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:

9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series312.0ms (7.8%)

Counts

3 → 9

Calls

3 calls:

161.0ms	(cbrt.f64 x)
106.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
44.0ms	(cbrt.f64 (+.f64 x 1))

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4976	720
1	4976	720

prune58.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Merged error: 0.3b

Counts

53 → 5

Compiler

Compiled 745 to 501 computations (32.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.5b	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
3.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
23×	`cbrt-prod_binary64_442`
11×	`log-pow_binary64_500`
10×	`exp-prod_binary64_463`
8×	`difference-of-squares_binary64_383` `add-cube-cbrt_binary64_446`
6×	`distribute-lft-out--_binary64_368` `add-log-exp_binary64_450`
5×	`pow1_binary64_472`
4×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `log-prod_binary64_497`
3×	`distribute-lft-out_binary64_367`
2×	`cbrt-div_binary64_443` `sub-neg_binary64_407` `pow1/3_binary64_493`
1×	`flip3--_binary64_418` `flip3-+_binary64_417` `rem-log-exp_binary64_452` `diff-log_binary64_503` `exp-sum_binary64_457` `exp-diff_binary64_459` `log-div_binary64_498` `flip-+_binary64_388` `flip--_binary64_389`

Counts

4 → 67

Calls

4 calls:

10.0ms	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
4.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series477.0ms (11.9%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
154.0ms	(cbrt.f64 x)
96.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
42.0ms	(cbrt.f64 (+.f64 x 1))

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4947	1135
1	4947	1135

prune72.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.3b

Counts

84 → 5

Compiler

Compiled 1229 to 850 computations (30.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)
0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_435`
32×	`*-un-lft-identity_binary64_414`
31×	`cbrt-prod_binary64_442`
12×	`difference-of-squares_binary64_383`
10×	`cube-prod_binary64_439` `unpow-prod-down_binary64_490`
9×	`distribute-lft-out--_binary64_368` `add-cube-cbrt_binary64_446`
6×	`add-log-exp_binary64_450`
5×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
4×	`distribute-lft-out_binary64_367`
3×	`pow-unpow_binary64_488`
2×	`flip3--_binary64_418` `cbrt-div_binary64_443` `flip--_binary64_389` `pow1/3_binary64_493` `cube-div_binary64_440`
1×	`flip3-+_binary64_417` `diff-log_binary64_503` `cube-mult_binary64_441` `sqr-pow_binary64_386` `pow-pow_binary64_483` `pow-exp_binary64_479` `pow-to-exp_binary64_480` `sub-neg_binary64_407` `unpow3_binary64_477` `flip-+_binary64_388` `rem-cube-cbrt_binary64_436`

Counts

4 → 82

Calls

4 calls:

13.0ms	(pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series580.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

279.0ms	(pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)
166.0ms	(cbrt.f64 x)
92.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
43.0ms	(cbrt.f64 (+.f64 x 1))

simplify107.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4936	1850
1	4936	1850

prune103.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	92	7	99

Merged error: 0.3b

Counts

99 → 7

Compiler

Compiled 1786 to 1296 computations (27.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)) 3)
0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite48.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`cbrt-prod_binary64_442`
55×	`add-sqr-sqrt_binary64_435`
52×	`*-un-lft-identity_binary64_414`
49×	`cube-prod_binary64_439` `unpow-prod-down_binary64_490`
20×	`difference-of-squares_binary64_383`
15×	`distribute-lft-out--_binary64_368` `add-cube-cbrt_binary64_446`
6×	`add-log-exp_binary64_450` `distribute-lft-out_binary64_367`
5×	`pow1_binary64_472` `add-exp-log_binary64_449`
4×	`cbrt-div_binary64_443` `add-cbrt-cube_binary64_447` `cube-div_binary64_440`
3×	`cube-mult_binary64_441` `pow-unpow_binary64_488` `sqr-pow_binary64_386` `unpow3_binary64_477` `pow1/3_binary64_493`
2×	`flip3--_binary64_418` `pow-pow_binary64_483` `flip--_binary64_389`
1×	`flip3-+_binary64_417` `diff-log_binary64_503` `pow-exp_binary64_479` `pow-to-exp_binary64_480` `sub-neg_binary64_407` `flip-+_binary64_388` `rem-cube-cbrt_binary64_436`

Counts

4 → 121

Calls

4 calls:

20.0ms	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)) 3)
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series581.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

282.0ms	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)) 3)
161.0ms	(cbrt.f64 x)
88.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
50.0ms	(cbrt.f64 (+.f64 x 1))

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4940	2783
1	4940	2783

prune149.0ms (3.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	132	8	140

Merged error: 0.2b

Counts

140 → 8

Compiler

Compiled 2522 to 1847 computations (26.8% saved)

regimes91.0ms (2.3%)

Compiler: Compiled 588 to 490 computations (16.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	52
1	35	52

end0.0ms (0%)

sample883.0ms (22%)

Algorithm

1×

intervals

Results

206.0ms	2064×	body	1024	valid
113.0ms	4209×	body	128	valid
74.0ms	990×	body	512	valid
35.0ms	225×	body	2048	valid
25.0ms	512×	body	256	valid

Compiler

Compiled 290 to 234 computations (19.3% saved)

Details

analyze1.0ms (0%)

sample19.0ms (0.5%)

simplify170.0ms (4.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite16.0ms (0.4%)

series312.0ms (7.8%)

simplify86.0ms (2.1%)

prune58.0ms (1.4%)

localize11.0ms (0.3%)

rewrite30.0ms (0.7%)

series477.0ms (11.9%)

simplify78.0ms (1.9%)

prune72.0ms (1.8%)

localize8.0ms (0.2%)

rewrite34.0ms (0.8%)

series580.0ms (14.5%)

simplify107.0ms (2.7%)

prune103.0ms (2.6%)

localize11.0ms (0.3%)

rewrite48.0ms (1.2%)

series581.0ms (14.5%)

simplify78.0ms (2%)

prune149.0ms (3.7%)

regimes91.0ms (2.3%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample883.0ms (22%)

Profiling