Details

analyze412.0ms (4.8%)

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)

sample56.0ms (0.7%)

Algorithm

1×

intervals

Results

40.0ms	241×	body	256	valid
4.0ms	44×	body	128	nan
1.0ms	15×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify357.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (198.0ms)

Iter	Nodes	Cost
0	4882	48
1	4882	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

Merged error: 34.3b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.6b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
8.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
27.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite37.0ms (0.4%)

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:

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)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.0s (12%)

Counts

4 → 12

Calls

4 calls:

464.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
461.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
54.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4956	1656
1	4956	1656

prune156.0ms (1.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	56	17	73
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	58	17	75

Merged error: 29.6b

Counts

75 → 17

Compiler

Compiled 3409 to 1294 computations (62% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
6.6b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
27.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.9b	(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:

10.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))

series614.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

464.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
54.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
53.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
42.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4908	1501
1	4908	1501

prune148.0ms (1.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	16	16
Picked	1	0	1
Done	0	0	0
Total	71	22	93

Merged error: 28.8b

Counts

93 → 22

Compiler

Compiled 3719 to 1464 computations (60.6% saved)

localize19.0ms (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 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
27.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite31.0ms (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:

10.0ms	(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)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))

series601.0ms (7%)

Counts

4 → 12

Calls

4 calls:

445.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
61.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
39.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5078	1101

prune130.0ms (1.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	67	22	89

Merged error: 28.8b

Counts

89 → 22

Compiler

Compiled 3297 to 1336 computations (59.5% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
8.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
27.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite31.0ms (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:

10.0ms	(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)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))

series606.0ms (7%)

Counts

4 → 12

Calls

4 calls:

448.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
54.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
49.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5078	1101

prune90.0ms (1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	20	21
Picked	0	1	1
Done	0	0	0
Total	67	22	89

Merged error: 28.8b

Counts

89 → 22

Compiler

Compiled 2461 to 858 computations (65.1% saved)

regimes964.0ms (11.2%)

Compiler: Compiled 13668 to 8013 computations (41.4% saved)

bsearch90.0ms (1%)

Steps

Iters	Range		Point
9	-2.5016506889668994e-180	-2.6870405705962915e-185	-2.470640334437921e-180

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	74	129
1	74	129

end0.0ms (0%)

sample2.9s (33.2%)

Algorithm

1×

intervals

Results

1.2s	7571×	body	256	valid
101.0ms	1261×	body	128	nan
36.0ms	429×	body	128	valid

Compiler

Compiled 2058 to 1195 computations (41.9% saved)

Details

analyze412.0ms (4.8%)

sample56.0ms (0.7%)

simplify357.0ms (4.1%)

prune6.0ms (0.1%)

localize21.0ms (0.2%)

rewrite37.0ms (0.4%)

series1.0s (12%)

simplify54.0ms (0.6%)

prune156.0ms (1.8%)

localize23.0ms (0.3%)

rewrite31.0ms (0.4%)

series614.0ms (7.1%)

simplify72.0ms (0.8%)

prune148.0ms (1.7%)

localize19.0ms (0.2%)

rewrite31.0ms (0.4%)

series601.0ms (7%)

simplify65.0ms (0.8%)

prune130.0ms (1.5%)

localize22.0ms (0.3%)

rewrite31.0ms (0.4%)

series606.0ms (7%)

simplify68.0ms (0.8%)

prune90.0ms (1%)

regimes964.0ms (11.2%)

bsearch90.0ms (1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.9s (33.2%)

Profiling