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)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	61×	body	1024	valid
5.0ms	10×	body	2048	valid
4.0ms	148×	body	128	valid
2.0ms	23×	body	512	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify164.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0.1%)

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: 27.0b

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)
3.2b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite22.0ms (0.5%)

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:

11.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series323.0ms (8.1%)

Counts

3 → 9

Calls

3 calls:

172.0ms	(cbrt.f64 x)
106.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
45.0ms	(cbrt.f64 (+.f64 x 1))

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5137	758

prune149.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	5	59

Merged error: 0.3b

Counts

59 → 5

Compiler

Compiled 2016 to 1511 computations (25% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
3.2b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.2b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.2b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite41.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_454`
35×	`add-sqr-sqrt_binary64_445`
32×	`*-un-lft-identity_binary64_423`
18×	`cancel-sign-sub-inv_binary64_389`
12×	`difference-of-squares_binary64_392`
11×	`add-cube-cbrt_binary64_458`
10×	`add-log-exp_binary64_462`
9×	`distribute-lft-out--_binary64_375`
4×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`sub-neg_binary64_416` `diff-log_binary64_515` `distribute-lft-out_binary64_374` `flip3--_binary64_427` `flip--_binary64_398`
1×	`pow1/3_binary64_505`

Counts

4 → 83

Calls

4 calls:

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

series462.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt.f64 x)
110.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
96.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
93.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify76.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4972	1458
1	4972	1458

prune163.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0.3b

Counts

100 → 6

Compiler

Compiled 3247 to 2177 computations (33% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
9.5b	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
15.2b	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
19.1b	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))

rewrite63.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_445`
26×	`cbrt-prod_binary64_454`
13×	`*-un-lft-identity_binary64_423`
10×	`difference-of-squares_binary64_392`
9×	`add-cube-cbrt_binary64_458`
8×	`times-frac_binary64_429`
6×	`cancel-sign-sub-inv_binary64_389` `add-log-exp_binary64_462`
4×	`cbrt-div_binary64_455` `pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`pow1/3_binary64_505`
2×	`flip-+_binary64_397` `flip3-+_binary64_426`
1×	`sub-neg_binary64_416` `diff-log_binary64_515` `distribute-lft-out_binary64_374` `flip3--_binary64_427` `distribute-lft-out--_binary64_375` `flip--_binary64_398`

Counts

4 → 66

Calls

4 calls:

42.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
7.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
6.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
1.0ms	(cbrt.f64 x)

series561.0ms (14%)

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
161.0ms	(cbrt.f64 x)
142.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
57.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))

simplify98.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4846	1961
1	4846	1961

prune152.0ms (3.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	78	6	84

Merged error: 0.3b

Counts

84 → 6

Compiler

Compiled 2804 to 1913 computations (31.8% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

4.0b	(log.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
15.2b	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
19.1b	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
27.1b	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (exp.f64 (log.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))))) (cbrt.f64 x))

rewrite87.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64_445`
30×	`cbrt-prod_binary64_454`
14×	`*-un-lft-identity_binary64_423` `difference-of-squares_binary64_392` `log-prod_binary64_509`
12×	`times-frac_binary64_429`
10×	`add-cube-cbrt_binary64_458`
8×	`exp-sum_binary64_469`
6×	`cbrt-div_binary64_455` `cancel-sign-sub-inv_binary64_389` `add-log-exp_binary64_462`
5×	`pow1_binary64_484` `add-exp-log_binary64_461`
4×	`add-cbrt-cube_binary64_459`
3×	`flip-+_binary64_397` `pow1/3_binary64_505` `flip3-+_binary64_426`
2×	`log-pow_binary64_512` `log-div_binary64_510`
1×	`sub-neg_binary64_416` `diff-log_binary64_515` `distribute-lft-out_binary64_374` `flip3--_binary64_427` `distribute-lft-out--_binary64_375` `rem-log-exp_binary64_464` `flip--_binary64_398`

Counts

4 → 77

Calls

4 calls:

55.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (exp.f64 (log.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))))) (cbrt.f64 x))
8.0ms	(log.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
7.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
7.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))

series482.0ms (12.1%)

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
183.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (exp.f64 (log.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))))) (cbrt.f64 x))
56.0ms	(log.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
52.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5101	2686

prune153.0ms (3.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	89	6	95

Merged error: 0.3b

Counts

95 → 6

Compiler

Compiled 2973 to 2043 computations (31.3% saved)

regimes58.0ms (1.4%)

Compiler: Compiled 295 to 233 computations (21% 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%)

sample720.0ms (18%)

Algorithm

1×

intervals

Results

186.0ms	1874×	body	1024	valid
122.0ms	4434×	body	128	valid
74.0ms	994×	body	512	valid
29.0ms	223×	body	2048	valid
25.0ms	475×	body	256	valid

Compiler

Compiled 157 to 120 computations (23.6% saved)

Details

analyze1.0ms (0%)

sample22.0ms (0.6%)

simplify164.0ms (4.1%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite22.0ms (0.5%)

series323.0ms (8.1%)

simplify72.0ms (1.8%)

prune149.0ms (3.7%)

localize10.0ms (0.3%)

rewrite41.0ms (1%)

series462.0ms (11.6%)

simplify76.0ms (1.9%)

prune163.0ms (4.1%)

localize13.0ms (0.3%)

rewrite63.0ms (1.6%)

series561.0ms (14%)

simplify98.0ms (2.5%)

prune152.0ms (3.8%)

localize17.0ms (0.4%)

rewrite87.0ms (2.2%)

series482.0ms (12.1%)

simplify72.0ms (1.8%)

prune153.0ms (3.8%)

regimes58.0ms (1.4%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample720.0ms (18%)

Profiling