Details

analyze618.0ms (4.7%)

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)

sample61.0ms (0.5%)

Algorithm

1×

intervals

Results

42.0ms	246×	body	256	valid
3.0ms	39×	body	128	nan
1.0ms	10×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify258.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (252.0ms)

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

36.7b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.5b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite187.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

33.4b

Rules

10×	`cbrt-div_binary64_4202`
8×	`add-sqr-sqrt_binary64_4192` `sqrt-prod_binary64_4186`
6×	`pow1_binary64_4231` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
4×	`add-log-exp_binary64_4209` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `flip3--_binary64_4174` `sqrt-div_binary64_4187` `flip--_binary64_4145` `frac-times_binary64_4180` `associate-*r/_binary64_4112`
2×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `difference-of-squares_binary64_4139` `rem-sqrt-square_binary64_4183` `pow1/3_binary64_4252` `flip3-+_binary64_4173` `flip-+_binary64_4144` `associate-*l/_binary64_4113` `cbrt-prod_binary64_4201`

Counts

4 → 60

Calls

4 calls:

18.0ms	(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))))))
5.0ms	(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)

series1.0s (7.6%)

Error

33.2b

Counts

4 → 35

Calls

4 calls:

413.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
398.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
65.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
62.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4028 to 2977 computations (26.1% saved)

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5036	1966

prune211.0ms (1.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	78	17	95
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	79	18	97

Error

32.4b

Counts

97 → 18

Compiler

Compiled 4564 to 1991 computations (56.4% saved)

localize21.0ms (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 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite130.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

32.4b

Rules

8×	`add-sqr-sqrt_binary64_4192` `sqrt-prod_binary64_4186`
6×	`pow1_binary64_4231` `add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
5×	`flip3--_binary64_4174` `flip--_binary64_4145` `cbrt-div_binary64_4202`
4×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `sqrt-div_binary64_4187`
3×	`difference-of-squares_binary64_4139`
2×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183` `frac-times_binary64_4180` `associate-*r/_binary64_4112`
1×	`pow1/3_binary64_4252` `associate-*l/_binary64_4113` `cbrt-prod_binary64_4201` `diff-log_binary64_4262` `sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136`

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	(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)

series731.0ms (5.5%)

Error

31.8b

Counts

4 → 38

Calls

4 calls:

418.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
118.0ms	(-.f64 (.f64 g g) (.f64 h h))
67.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
64.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3749 to 2684 computations (28.4% saved)

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4939	1600
1	4939	1600

prune181.0ms (1.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	97	18	115

Error

31.8b

Counts

115 → 18

Compiler

Compiled 4412 to 1843 computations (58.2% saved)

localize23.0ms (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 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite134.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

31.8b

Rules

8×	`add-sqr-sqrt_binary64_4192` `sqrt-prod_binary64_4186`
6×	`pow1_binary64_4231` `add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
5×	`flip3--_binary64_4174` `flip--_binary64_4145` `cbrt-div_binary64_4202`
4×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `sqrt-div_binary64_4187`
3×	`difference-of-squares_binary64_4139`
2×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183` `frac-times_binary64_4180` `associate-*r/_binary64_4112`
1×	`pow1/3_binary64_4252` `associate-*l/_binary64_4113` `cbrt-prod_binary64_4201` `diff-log_binary64_4262` `sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136`

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))))))
7.0ms	(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)

series721.0ms (5.4%)

Error

31.8b

Counts

4 → 38

Calls

4 calls:

413.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
113.0ms	(-.f64 (.f64 g g) (.f64 h h))
66.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
64.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4058 to 2993 computations (26.2% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4939	1600
1	4939	1600

prune193.0ms (1.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	95	20	115

Error

31.8b

Counts

115 → 20

Compiler

Compiled 4803 to 2195 computations (54.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
8.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite123.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

31.8b

Rules

8×	`add-sqr-sqrt_binary64_4192` `sqrt-prod_binary64_4186`
6×	`pow1_binary64_4231` `add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
5×	`flip3--_binary64_4174` `flip--_binary64_4145` `cbrt-div_binary64_4202`
4×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `sqrt-div_binary64_4187`
3×	`difference-of-squares_binary64_4139`
2×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183` `frac-times_binary64_4180` `associate-*r/_binary64_4112`
1×	`pow1/3_binary64_4252` `associate-*l/_binary64_4113` `cbrt-prod_binary64_4201` `diff-log_binary64_4262` `sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136`

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	(-.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)

series693.0ms (5.2%)

Error

31.8b

Counts

4 → 38

Calls

4 calls:

416.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
103.0ms	(-.f64 (.f64 g g) (.f64 h h))
62.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
58.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3749 to 2684 computations (28.4% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4939	1600
1	4939	1600

prune140.0ms (1.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	97	20	117

Error

31.8b

Counts

117 → 20

Compiler

Compiled 3671 to 1391 computations (62.1% saved)

regimes2.5s (18.9%)

Accuracy

Total 1.5b remaining (4.7%)

Threshold costs 0b (0%)

Compiler

Compiled 40132 to 25029 computations (37.6% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	125	275
1	125	275

end0.0ms (0%)

sample5.0s (37.6%)

Algorithm

1×

intervals

Results

1.2s	7570×	body	256	valid
96.0ms	1205×	body	128	nan
35.0ms	430×	body	128	valid

Compiler

Compiled 5326 to 3317 computations (37.7% saved)

Details

analyze618.0ms (4.7%)

sample61.0ms (0.5%)

simplify258.0ms (2%)

prune6.0ms (0%)

localize19.0ms (0.1%)

rewrite187.0ms (1.4%)

series1.0s (7.6%)

simplify73.0ms (0.5%)

prune211.0ms (1.6%)

localize21.0ms (0.2%)

rewrite130.0ms (1%)

series731.0ms (5.5%)

simplify71.0ms (0.5%)

prune181.0ms (1.4%)

localize23.0ms (0.2%)

rewrite134.0ms (1%)

series721.0ms (5.4%)

simplify64.0ms (0.5%)

prune193.0ms (1.5%)

localize20.0ms (0.1%)

rewrite123.0ms (0.9%)

series693.0ms (5.2%)

simplify64.0ms (0.5%)

prune140.0ms (1.1%)

regimes2.5s (18.9%)

bsearch12.0ms (0.1%)

simplify6.0ms (0%)

end0.0ms (0%)

sample5.0s (37.6%)

Profiling