Details

analyze821.0ms (6.9%)

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)

sample57.0ms (0.5%)

Algorithm

1×

intervals

Results

38.0ms	239×	body	256	valid
3.0ms	41×	body	128	nan
1.0ms	17×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify242.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (233.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune6.0ms (0%)

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

34.9b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.0b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite169.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

31.4b

Rules

10×	`cbrt-div_binary64_2156`
8×	`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-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `sqrt-div_binary64_2141` `flip--_binary64_2099` `frac-times_binary64_2134` `associate-*r/_binary64_2066`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `difference-of-squares_binary64_2093` `rem-sqrt-square_binary64_2137` `pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-*l/_binary64_2067` `cbrt-prod_binary64_2155`

Counts

4 → 60

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))))))
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)))

Compiler

Compiled 2998 to 1039 computations (65.3% saved)

series953.0ms (8%)

Error

31.6b

Counts

4 → 32

Calls

4 calls:

398.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
380.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3710 to 2748 computations (25.9% saved)

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4916	1884
1	4916	1884

prune205.0ms (1.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	74	18	92
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	76	18	94

Error

31.1b

Counts

94 → 18

Compiler

Compiled 4447 to 1926 computations (56.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.6b	(-.f64 (.f64 g g) (.f64 h h))
7.0b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite133.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.9b

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`
5×	`flip3--_binary64_2128` `flip--_binary64_2099` `cbrt-div_binary64_2156`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sqrt-div_binary64_2141`
3×	`difference-of-squares_binary64_2093`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `frac-times_binary64_2134` `associate-*r/_binary64_2066`
1×	`pow1/3_binary64_2206` `associate-*l/_binary64_2067` `cbrt-prod_binary64_2155` `diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090`

Counts

4 → 59

Calls

4 calls:

17.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
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))

Compiler

Compiled 2702 to 910 computations (66.3% saved)

series675.0ms (5.7%)

Error

30.6b

Counts

4 → 35

Calls

4 calls:

388.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
112.0ms	(-.f64 (.f64 g g) (.f64 h h))
61.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3443 to 2464 computations (28.4% saved)

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4978	1521
1	4978	1521

prune167.0ms (1.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	7	10	17
Picked	1	0	1
Done	0	0	0
Total	95	17	112

Error

30.4b

Counts

112 → 17

Compiler

Compiled 4261 to 1753 computations (58.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.6b	(-.f64 (.f64 g g) (.f64 h h))
3.6b	(-.f64 (.f64 g g) (.f64 h h))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite101.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.4b

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

Compiler

Compiled 2468 to 775 computations (68.6% saved)

series368.0ms (3.1%)

Error

30.4b

Counts

4 → 38

Calls

4 calls:

105.0ms	(-.f64 (.f64 g g) (.f64 h h))
100.0ms	(-.f64 (.f64 g g) (.f64 h h))
56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3294 to 2250 computations (31.7% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4922	1140
1	4922	1140

prune158.0ms (1.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	15	16
Picked	0	1	1
Done	0	0	0
Total	96	17	113

Error

30.4b

Counts

113 → 17

Compiler

Compiled 4173 to 1596 computations (61.8% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.6b	(-.f64 (.f64 g g) (.f64 h h))
3.6b	(-.f64 (.f64 g g) (.f64 h h))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite106.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.4b

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

Compiler

Compiled 2468 to 775 computations (68.6% saved)

series377.0ms (3.2%)

Error

30.4b

Counts

4 → 38

Calls

4 calls:

106.0ms	(-.f64 (.f64 g g) (.f64 h h))
105.0ms	(-.f64 (.f64 g g) (.f64 h h))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3294 to 2250 computations (31.7% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4922	1140
1	4922	1140

prune126.0ms (1.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	14	15
Picked	0	1	1
Done	0	1	1
Total	96	17	113

Error

30.4b

Counts

113 → 17

Compiler

Compiled 3494 to 1195 computations (65.8% saved)

regimes2.1s (17.4%)

Accuracy

Total 1.8b remaining (5.7%)

Threshold costs 0b (0%)

Compiler

Compiled 34636 to 22245 computations (35.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	54
1	63	54

end0.0ms (0%)

sample4.8s (39.9%)

Algorithm

1×

intervals

Results

1.2s	7556×	body	256	valid
97.0ms	1239×	body	128	nan
37.0ms	444×	body	128	valid

Compiler

Compiled 4751 to 3062 computations (35.6% saved)

Details

analyze821.0ms (6.9%)

sample57.0ms (0.5%)

simplify242.0ms (2%)

prune6.0ms (0%)

localize19.0ms (0.2%)

rewrite169.0ms (1.4%)

series953.0ms (8%)

simplify88.0ms (0.7%)

prune205.0ms (1.7%)

localize21.0ms (0.2%)

rewrite133.0ms (1.1%)

series675.0ms (5.7%)

simplify67.0ms (0.6%)

prune167.0ms (1.4%)

localize18.0ms (0.2%)

rewrite101.0ms (0.9%)

series368.0ms (3.1%)

simplify87.0ms (0.7%)

prune158.0ms (1.3%)

localize23.0ms (0.2%)

rewrite106.0ms (0.9%)

series377.0ms (3.2%)

simplify85.0ms (0.7%)

prune126.0ms (1.1%)

regimes2.1s (17.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.8s (39.9%)

Profiling