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)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	65×	body	1024	valid
4.0ms	128×	body	128	valid
2.0ms	30×	body	512	valid
1.0ms	25×	body	256	valid
1.0ms	8×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify178.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

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: 32.1b

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))
0.5b	(cbrt.f64 x)
3.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_454`
16×	`*-un-lft-identity_binary64_423`
15×	`add-sqr-sqrt_binary64_445`
7×	`add-cube-cbrt_binary64_458`
6×	`cancel-sign-sub-inv_binary64_389`
5×	`add-log-exp_binary64_462`
4×	`difference-of-squares_binary64_392`
3×	`pow1_binary64_484` `distribute-lft-out--_binary64_375` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
2×	`cbrt-div_binary64_455` `distribute-lft-out_binary64_374` `pow1/3_binary64_505`
1×	`sub-neg_binary64_416` `flip-+_binary64_397` `diff-log_binary64_515` `flip3--_binary64_427` `flip3-+_binary64_426` `flip--_binary64_398`

Counts

3 → 49

Calls

3 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series320.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

162.0ms	(cbrt.f64 x)
113.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
46.0ms	(cbrt.f64 (+.f64 x 1))

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5137	758

prune160.0ms (3.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Merged error: 0.3b

Counts

59 → 5

Compiler

Compiled 2091 to 1597 computations (23.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 -1/9 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
9×	`times-frac_binary64_429` `cbrt-prod_binary64_454`
6×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
4×	`pow1_binary64_484` `add-log-exp_binary64_462`
3×	`pow1/3_binary64_505` `associate-/l_binary64_368` `associate-/r_binary64_367`
1×	`clear-num_binary64_422` `frac-2neg_binary64_434` `div-inv_binary64_420` `cbrt-undiv_binary64_457` `div-exp_binary64_474`

Counts

4 → 60

Calls

4 calls:

3.0ms	(/.f64 -1/9 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series499.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt.f64 x)
158.0ms	(cbrt.f64 x)
150.0ms	(cbrt.f64 x)
20.0ms	(/.f64 -1/9 x)

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4863	502
1	4863	502

prune120.0ms (2.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	67	10	77

Merged error: 0.2b

Counts

77 → 10

Compiler

Compiled 2224 to 1229 computations (44.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-prod_binary64_454`
11×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
4×	`pow1_binary64_484` `pow1/3_binary64_505` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `add-log-exp_binary64_462`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

series736.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt.f64 (cbrt.f64 x))
196.0ms	(cbrt.f64 (cbrt.f64 x))
189.0ms	(cbrt.f64 (cbrt.f64 x))
146.0ms	(cbrt.f64 x)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4930	541
1	4930	541

prune184.0ms (3.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	61	14	75

Merged error: 0.2b

Counts

75 → 14

Compiler

Compiled 3799 to 1878 computations (50.6% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_454`
12×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
4×	`pow1_binary64_484` `pow1/3_binary64_505` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `add-log-exp_binary64_462`

Counts

4 → 56

Calls

4 calls:

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

series816.0ms (17.5%)

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt.f64 (cbrt.f64 x))
204.0ms	(cbrt.f64 (cbrt.f64 x))
198.0ms	(cbrt.f64 (cbrt.f64 x))
197.0ms	(cbrt.f64 (cbrt.f64 x))

simplify99.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4686	632
1	4686	632

prune190.0ms (4.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	2	9	11
Picked	0	1	1
Done	0	2	2
Total	67	15	82

Merged error: 0.2b

Counts

82 → 15

Compiler

Compiled 4570 to 1920 computations (58% saved)

regimes89.0ms (1.9%)

Compiler: Compiled 766 to 452 computations (41% saved)

bsearch35.0ms (0.7%)

Steps

Iters	Range		Point
10	1.8466975930545429e-06	29796203.926271692	66906.87584247343
10	-10130101.55628375	-0.0004490815567263124	-0.9995113040328686

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	78
1	46	78

end0.0ms (0%)

sample882.0ms (19%)

Algorithm

1×

intervals

Results

204.0ms	2091×	body	1024	valid
115.0ms	4213×	body	128	valid
72.0ms	982×	body	512	valid
28.0ms	217×	body	2048	valid
26.0ms	497×	body	256	valid

Compiler

Compiled 433 to 256 computations (40.9% saved)

Details

analyze1.0ms (0%)

sample20.0ms (0.4%)

simplify178.0ms (3.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite18.0ms (0.4%)

series320.0ms (6.9%)

simplify75.0ms (1.6%)

prune160.0ms (3.4%)

localize11.0ms (0.2%)

rewrite12.0ms (0.3%)

series499.0ms (10.7%)

simplify86.0ms (1.9%)

prune120.0ms (2.6%)

localize13.0ms (0.3%)

rewrite12.0ms (0.3%)

series736.0ms (15.8%)

simplify55.0ms (1.2%)

prune184.0ms (3.9%)

localize19.0ms (0.4%)

rewrite15.0ms (0.3%)

series816.0ms (17.5%)

simplify99.0ms (2.1%)

prune190.0ms (4.1%)

regimes89.0ms (1.9%)

bsearch35.0ms (0.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample882.0ms (19%)

Profiling