Details

analyze600.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5013	192
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample60.0ms (0.6%)

Algorithm

1×

intervals

Results

40.0ms	247×	body	256	valid
3.0ms	44×	body	128	nan
1.0ms	9×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify239.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (234.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune6.0ms (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

Error

36.7b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.7b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
9.0b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite146.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

32.1b

Rules

14×	`add-sqr-sqrt_binary64_2146`
11×	`cbrt-prod_binary64_2155`
10×	`*-un-lft-identity_binary64_2124`
9×	`sqrt-prod_binary64_2140`
8×	`add-cube-cbrt_binary64_2159`
6×	`pow1_binary64_2185` `times-frac_binary64_2130`
4×	`add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sqrt-div_binary64_2141` `difference-of-squares_binary64_2093`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `flip3--_binary64_2128` `flip--_binary64_2099` `rem-sqrt-square_binary64_2137` `pow1/3_binary64_2206` `cbrt-div_binary64_2156`
1×	`distribute-lft-out--_binary64_2076` `div-inv_binary64_2121` `associate-*l/_binary64_2067`

Counts

4 → 61

Calls

4 calls:

10.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
9.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2510 to 735 computations (70.7% saved)

series1.0s (9.5%)

Error

32.2b

Counts

4 → 33

Calls

4 calls:

431.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
415.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3468 to 2526 computations (27.2% saved)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4962	1915
1	4962	1915

prune174.0ms (1.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	77	17	94
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	79	17	96

Error

31.9b

Counts

96 → 17

Compiler

Compiled 3981 to 1474 computations (63% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
8.7b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite105.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

31.7b

Rules

8×	`add-sqr-sqrt_binary64_2146` `sqrt-prod_binary64_2140`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sqrt-div_binary64_2141`
3×	`flip3--_binary64_2128` `flip--_binary64_2099` `difference-of-squares_binary64_2093`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`
1×	`pow1/3_binary64_2206` `associate-*l/_binary64_2067` `cbrt-div_binary64_2156` `cbrt-prod_binary64_2155` `diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090`

Counts

4 → 55

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2250 to 691 computations (69.3% saved)

series730.0ms (6.9%)

Error

31.3b

Counts

4 → 38

Calls

4 calls:

429.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
115.0ms	(-.f64 (.f64 g g) (.f64 h h))
70.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3547 to 2496 computations (29.6% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4903	1381
1	4903	1381

prune156.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	91	19	110

Error

31.1b

Counts

110 → 19

Compiler

Compiled 3987 to 1528 computations (61.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
4.0b	(-.f64 (.f64 g g) (.f64 h h))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite105.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

31.1b

Rules

8×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146` `sqrt-prod_binary64_2140`
6×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `sqrt-div_binary64_2141` `flip--_binary64_2099` `difference-of-squares_binary64_2093`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2410 to 746 computations (69% saved)

series414.0ms (3.9%)

Error

31.1b

Counts

4 → 40

Calls

4 calls:

117.0ms	(-.f64 (.f64 g g) (.f64 h h))
115.0ms	(-.f64 (.f64 g g) (.f64 h h))
71.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3350 to 2271 computations (32.2% saved)

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4953	1166
1	4953	1166

prune171.0ms (1.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	97	20	117

Error

31.1b

Counts

117 → 20

Compiler

Compiled 4277 to 1635 computations (61.8% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
8.7b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite106.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

31.1b

Rules

8×	`add-sqr-sqrt_binary64_2146` `sqrt-prod_binary64_2140`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sqrt-div_binary64_2141`
3×	`flip3--_binary64_2128` `flip--_binary64_2099` `difference-of-squares_binary64_2093`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`
1×	`pow1/3_binary64_2206` `associate-*l/_binary64_2067` `cbrt-div_binary64_2156` `cbrt-prod_binary64_2155` `diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090`

Counts

4 → 55

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2250 to 691 computations (69.3% saved)

series710.0ms (6.7%)

Error

31.1b

Counts

4 → 38

Calls

4 calls:

430.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
104.0ms	(-.f64 (.f64 g g) (.f64 h h))
67.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
51.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3547 to 2496 computations (29.6% saved)

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4903	1381
1	4903	1381

prune123.0ms (1.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	93	20	113

Error

31.1b

Counts

113 → 20

Compiler

Compiled 3231 to 1113 computations (65.6% saved)

regimes1.5s (13.8%)

Accuracy

Total 1.7b remaining (5.5%)

Threshold costs 0b (0%)

Compiler

Compiled 22614 to 13872 computations (38.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	52
1	51	52

end0.0ms (0%)

sample3.9s (36.8%)

Algorithm

1×

intervals

Results

1.3s	7560×	body	256	valid
105.0ms	1269×	body	128	nan
36.0ms	440×	body	128	valid

Compiler

Compiled 3287 to 2015 computations (38.7% saved)

Details

analyze600.0ms (5.7%)

sample60.0ms (0.6%)

simplify239.0ms (2.3%)

prune6.0ms (0.1%)

localize21.0ms (0.2%)

rewrite146.0ms (1.4%)

series1.0s (9.5%)

simplify74.0ms (0.7%)

prune174.0ms (1.6%)

localize18.0ms (0.2%)

rewrite105.0ms (1%)

series730.0ms (6.9%)

simplify86.0ms (0.8%)

prune156.0ms (1.5%)

localize21.0ms (0.2%)

rewrite105.0ms (1%)

series414.0ms (3.9%)

simplify51.0ms (0.5%)

prune171.0ms (1.6%)

localize23.0ms (0.2%)

rewrite106.0ms (1%)

series710.0ms (6.7%)

simplify84.0ms (0.8%)

prune123.0ms (1.2%)

regimes1.5s (13.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.9s (36.8%)

Profiling