Details

analyze644.0ms (4.6%)

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)

sample62.0ms (0.4%)

Algorithm

1×

intervals

Results

39.0ms	241×	body	256	valid
6.0ms	39×	body	128	nan
1.0ms	15×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify240.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (234.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune7.0ms (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

33.9b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.4b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.8b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
26.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
26.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite200.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

28.6b

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:

17.0ms	(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)

series1.4s (9.9%)

Error

28.7b

Counts

4 → 31

Calls

4 calls:

604.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
566.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
81.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
63.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3624 to 2691 computations (25.7% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4916	1871
1	4916	1871

prune228.0ms (1.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	75	16	91
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	77	16	93

Error

27.9b

Counts

93 → 16

Compiler

Compiled 4288 to 1851 computations (56.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
7.4b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
26.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
26.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite147.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

27.9b

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:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(-.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)))

Compiler

Compiled 2702 to 910 computations (66.3% saved)

series940.0ms (6.8%)

Error

27.4b

Counts

4 → 34

Calls

4 calls:

572.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
150.0ms	(-.f64 (.f64 g g) (.f64 h h))
83.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
69.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3361 to 2409 computations (28.3% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4978	1508
1	4978	1508

prune209.0ms (1.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	93	16	109

Error

27.4b

Counts

109 → 16

Compiler

Compiled 4159 to 1714 computations (58.8% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
7.4b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
26.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
26.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite134.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

27.4b

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:

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))

Compiler

Compiled 2702 to 910 computations (66.3% saved)

series937.0ms (6.7%)

Error

27.4b

Counts

4 → 34

Calls

4 calls:

559.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
169.0ms	(-.f64 (.f64 g g) (.f64 h h))
83.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
68.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3361 to 2409 computations (28.3% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4978	1508
1	4978	1508

prune188.0ms (1.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	93	16	109

Error

27.4b

Counts

109 → 16

Compiler

Compiled 4124 to 1692 computations (59% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
7.4b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
26.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
26.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite154.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

27.4b

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:

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

Compiler

Compiled 2879 to 1087 computations (62.2% saved)

series904.0ms (6.5%)

Error

27.4b

Counts

4 → 34

Calls

4 calls:

551.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
154.0ms	(-.f64 (.f64 g g) (.f64 h h))
73.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
63.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3646 to 2694 computations (26.1% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4978	1508
1	4978	1508

prune169.0ms (1.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	92	17	109

Error

27.4b

Counts

109 → 17

Compiler

Compiled 3790 to 1593 computations (58% saved)

regimes2.2s (15.5%)

Accuracy

Total 1.7b remaining (5.3%)

Threshold costs 0b (0%)

Compiler

Compiled 32204 to 20606 computations (36% 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 (34.9%)

Algorithm

1×

intervals

Results

1.5s	7547×	body	256	valid
104.0ms	1260×	body	128	nan
37.0ms	453×	body	128	valid

Compiler

Compiled 4423 to 2841 computations (35.8% saved)

Details

analyze644.0ms (4.6%)

sample62.0ms (0.4%)

simplify240.0ms (1.7%)

prune7.0ms (0.1%)

localize18.0ms (0.1%)

rewrite200.0ms (1.4%)

series1.4s (9.9%)

simplify82.0ms (0.6%)

prune228.0ms (1.6%)

localize20.0ms (0.1%)

rewrite147.0ms (1.1%)

series940.0ms (6.8%)

simplify70.0ms (0.5%)

prune209.0ms (1.5%)

localize25.0ms (0.2%)

rewrite134.0ms (1%)

series937.0ms (6.7%)

simplify60.0ms (0.4%)

prune188.0ms (1.4%)

localize22.0ms (0.2%)

rewrite154.0ms (1.1%)

series904.0ms (6.5%)

simplify60.0ms (0.4%)

prune169.0ms (1.2%)

regimes2.2s (15.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.8s (34.9%)

Profiling