Details

analyze447.0ms (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)

sample59.0ms (0.6%)

Algorithm

1×

intervals

Results

42.0ms	242×	body	256	valid
4.0ms	47×	body	128	nan
1.0ms	14×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify319.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (224.0ms)

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

Merged error: 36.8b

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 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.7b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-div_binary64_2156`
8×	`sqrt-prod_binary64_2140` `add-sqr-sqrt_binary64_2146`
6×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`flip--_binary64_2099` `flip3--_binary64_2128` `sqrt-div_binary64_2141` `add-log-exp_binary64_2163` `associate-*r/_binary64_2066` `frac-times_binary64_2134` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
2×	`difference-of-squares_binary64_2093` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `associate-*l/_binary64_2067` `pow1/3_binary64_2206` `pow1/2_binary64_2204` `cbrt-prod_binary64_2155` `flip3-+_binary64_2127` `flip-+_binary64_2098`

Counts

4 → 60

Calls

4 calls:

15.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.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)))

series913.0ms (9.9%)

Counts

4 → 31

Calls

4 calls:

415.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
392.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
52.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2487 to 2016 computations (18.9% saved)

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4939	1809
1	4939	1809

prune218.0ms (2.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	75	16	91
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	76	17	93

Merged error: 32.4b

Counts

93 → 17

Compiler

Compiled 4354 to 1840 computations (57.7% saved)

localize21.0ms (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 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite33.0ms (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`
5×	`cbrt-div_binary64_2156`
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` `associate-*r/_binary64_2066` `flip3-+_binary64_2127` `frac-times_binary64_2134` `flip-+_binary64_2098`
1×	`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 → 59

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.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)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series606.0ms (6.5%)

Counts

4 → 32

Calls

4 calls:

415.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
88.0ms	(-.f64 (.f64 g g) (.f64 h h))
53.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
50.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2256 to 1794 computations (20.5% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4981	1486
1	4981	1486

prune189.0ms (2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	80	11	91
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	87	21	108

Merged error: 32.1b

Counts

108 → 21

Compiler

Compiled 4451 to 1853 computations (58.4% 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))
30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(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))

series268.0ms (2.9%)

Counts

4 → 33

Calls

4 calls:

81.0ms	(-.f64 (.f64 g g) (.f64 h h))
80.0ms	(-.f64 (.f64 g g) (.f64 h h))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
48.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 1949 to 1559 computations (20% saved)

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5013	1119

prune182.0ms (2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	90	22	112

Merged error: 32.0b

Counts

112 → 22

Compiler

Compiled 4320 to 1761 computations (59.2% saved)

localize23.0ms (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))
30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

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))

series277.0ms (3%)

Counts

4 → 33

Calls

4 calls:

89.0ms	(-.f64 (.f64 g g) (.f64 h h))
81.0ms	(-.f64 (.f64 g g) (.f64 h h))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
52.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2120 to 1730 computations (18.4% saved)

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5013	1119

prune138.0ms (1.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	21	21
Picked	0	1	1
Done	0	0	0
Total	91	22	113

Merged error: 32.0b

Counts

113 → 22

Compiler

Compiled 3620 to 1404 computations (61.2% saved)

regimes1.5s (15.8%)

Compiler: Compiled 24076 to 14668 computations (39.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	54
1	64	54

end0.0ms (0%)

sample3.7s (40.4%)

Algorithm

1×

intervals

Results

1.3s	7565×	body	256	valid
103.0ms	1240×	body	128	nan
37.0ms	435×	body	128	valid

Compiler

Compiled 3273 to 1993 computations (39.1% saved)

Details

analyze447.0ms (4.8%)

sample59.0ms (0.6%)

simplify319.0ms (3.4%)

prune6.0ms (0.1%)

localize21.0ms (0.2%)

rewrite44.0ms (0.5%)

series913.0ms (9.9%)

simplify65.0ms (0.7%)

prune218.0ms (2.4%)

localize21.0ms (0.2%)

rewrite33.0ms (0.4%)

series606.0ms (6.5%)

simplify62.0ms (0.7%)

prune189.0ms (2%)

localize21.0ms (0.2%)

rewrite23.0ms (0.2%)

series268.0ms (2.9%)

simplify47.0ms (0.5%)

prune182.0ms (2%)

localize23.0ms (0.2%)

rewrite23.0ms (0.2%)

series277.0ms (3%)

simplify46.0ms (0.5%)

prune138.0ms (1.5%)

regimes1.5s (15.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.7s (40.4%)

Profiling