Details

analyze427.0ms (6%)

Algorithm

1×

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)

sample53.0ms (0.7%)

Algorithm

1×

intervals

Results

39.0ms	244×	body	256	valid
2.0ms	31×	body	128	nan
1.0ms	12×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify332.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune5.0ms (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

35.8b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.3b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
9.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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×	`difference-of-squares_binary64_2093` `sqrt-div_binary64_2141` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
2×	`flip--_binary64_2099` `cbrt-div_binary64_2156` `flip3--_binary64_2128` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow1/3_binary64_2206` `pow1/2_binary64_2204`
1×	`distribute-lft-out--_binary64_2076` `associate-*l/_binary64_2067` `div-inv_binary64_2121`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
8.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series530.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
233.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
31.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5115	1656

prune158.0ms (2.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	54	19	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	55	20	75

Error

31.3b

Counts

75 → 20

Compiler

Compiled 3573 to 1363 computations (61.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
8.3b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2146`
10×	`cbrt-prod_binary64_2155` `*-un-lft-identity_binary64_2124`
9×	`sqrt-prod_binary64_2140`
8×	`add-cube-cbrt_binary64_2159`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `times-frac_binary64_2130`
5×	`difference-of-squares_binary64_2093`
4×	`sqrt-div_binary64_2141` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`flip--_binary64_2099` `flip3--_binary64_2128`
2×	`sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow1/2_binary64_2204`
1×	`cbrt-div_binary64_2156` `cancel-sign-sub-inv_binary64_2090` `distribute-lft-out--_binary64_2076` `diff-log_binary64_2216` `pow1/3_binary64_2206` `sub-neg_binary64_2117` `div-inv_binary64_2121`

Counts

4 → 64

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series328.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
22.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5010	1501

prune146.0ms (2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	74	22	96

Error

29.5b

Counts

96 → 22

Compiler

Compiled 3760 to 1468 computations (61% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
9.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

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

series335.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
31.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
26.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4981	1104
1	4981	1104

prune127.0ms (1.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	1	20	21
Picked	0	1	1
Done	0	0	0
Total	65	24	89

Error

29.5b

Counts

89 → 24

Compiler

Compiled 3373 to 1361 computations (59.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
9.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

11.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series328.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
31.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4981	1104
1	4981	1104

prune89.0ms (1.3%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	21	22
Picked	1	0	1
Done	0	1	1
Total	68	23	91

Error

29.4b

Counts

91 → 23

Compiler

Compiled 2463 to 859 computations (65.1% saved)

regimes987.0ms (13.8%)

Accuracy

Total 0.7b remaining (2.2%)

Threshold costs 0.7b (2.2%)

Compiler

Compiled 13150 to 7621 computations (42% saved)

bsearch37.0ms (0.5%)

Steps

Iters	Range		Point
4	-8.988375417873013e-175	-5.530121811417135e-175	-8.880304992671268e-175

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	95
1	67	95

end0.0ms (0%)

sample2.8s (39.1%)

Algorithm

1×

intervals

Results

1.2s	7590×	body	256	valid
94.0ms	1185×	body	128	nan
34.0ms	410×	body	128	valid

Compiler

Compiled 1963 to 1135 computations (42.2% saved)

Details

analyze427.0ms (6%)

sample53.0ms (0.7%)

simplify332.0ms (4.6%)

prune5.0ms (0.1%)

localize16.0ms (0.2%)

rewrite32.0ms (0.5%)

series530.0ms (7.4%)

simplify56.0ms (0.8%)

prune158.0ms (2.2%)

localize17.0ms (0.2%)

rewrite31.0ms (0.4%)

series328.0ms (4.6%)

simplify76.0ms (1.1%)

prune146.0ms (2%)

localize17.0ms (0.2%)

rewrite27.0ms (0.4%)

series335.0ms (4.7%)

simplify71.0ms (1%)

prune127.0ms (1.8%)

localize17.0ms (0.2%)

rewrite29.0ms (0.4%)

series328.0ms (4.6%)

simplify73.0ms (1%)

prune89.0ms (1.3%)

regimes987.0ms (13.8%)

bsearch37.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (39.1%)

Profiling