Details

analyze424.0ms (5.9%)

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)

sample68.0ms (0.9%)

Algorithm

1×

intervals

Results

32.0ms	132×	body	320	valid
20.0ms	118×	body	160	valid
3.0ms	41×	body	80	nan
1.0ms	6×	body	80	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify347.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (330.0ms)

Iter	Nodes	Cost
0	4883	48
1	4883	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: 35.3b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
7.9b	(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)))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-div_binary64`
8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip--_binary64` `frac-times_binary64` `sqrt-div_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `pow1/3_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `flip-+_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 64

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))))))
16.0ms	(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)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.1s (15.6%)

Counts

4 → 12

Calls

4 calls:

498.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
496.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
68.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
64.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify102.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5706	1589

prune200.0ms (2.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	59	17	76
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	61	17	78

Merged error: 31.1b

Counts

78 → 17

Compiler

Compiled 3931 to 1655 computations (57.9% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.0b	(-.f64 (.f64 g g) (.f64 h h))
7.9b	(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)))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
5×	`cbrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `sqrt-div_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 62

Calls

4 calls:

16.0ms	(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))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series670.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

503.0ms	(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)))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
43.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5217	1294

prune167.0ms (2.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	65	9	74
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	72	19	91

Merged error: 30.3b

Counts

91 → 19

Compiler

Compiled 3811 to 1585 computations (58.4% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.0b	(-.f64 (.f64 g g) (.f64 h h))
5.0b	(-.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)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `insert-posit16` `flip--_binary64` `sqrt-div_binary64`
2×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 60

Calls

4 calls:

6.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series205.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
47.0ms	(-.f64 (.f64 g g) (.f64 h h))
42.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5156	1000

prune144.0ms (2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	71	20	91

Merged error: 30.3b

Counts

91 → 20

Compiler

Compiled 3589 to 1453 computations (59.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.0b	(-.f64 (.f64 g g) (.f64 h h))
5.0b	(-.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)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `insert-posit16` `flip--_binary64` `sqrt-div_binary64`
2×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 60

Calls

4 calls:

6.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
6.0ms	(-.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))

series214.0ms (3%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
58.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
48.0ms	(-.f64 (.f64 g g) (.f64 h h))
44.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify86.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5156	1000

prune102.0ms (1.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	72	20	92

Merged error: 30.3b

Counts

92 → 20

Compiler

Compiled 2750 to 959 computations (65.1% saved)

regimes387.0ms (5.4%)

Compiler: Compiled 5913 to 3527 computations (40.4% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	67	54
1	67	54

end0.0ms (0%)

sample2.5s (35.4%)

Algorithm

1×

intervals

Results

919.0ms	3722×	body	320	valid
690.0ms	4132×	body	160	valid
98.0ms	1149×	body	80	nan
13.0ms	146×	body	80	valid

Compiler

Compiled 945 to 563 computations (40.4% saved)

Details

analyze424.0ms (5.9%)

sample68.0ms (0.9%)

simplify347.0ms (4.8%)

prune6.0ms (0.1%)

localize18.0ms (0.2%)

rewrite45.0ms (0.6%)

series1.1s (15.6%)

simplify102.0ms (1.4%)

prune200.0ms (2.8%)

localize19.0ms (0.3%)

rewrite34.0ms (0.5%)

series670.0ms (9.3%)

simplify100.0ms (1.4%)

prune167.0ms (2.3%)

localize23.0ms (0.3%)

rewrite23.0ms (0.3%)

series205.0ms (2.8%)

simplify87.0ms (1.2%)

prune144.0ms (2%)

localize21.0ms (0.3%)

rewrite24.0ms (0.3%)

series214.0ms (3%)

simplify86.0ms (1.2%)

prune102.0ms (1.4%)

regimes387.0ms (5.4%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.5s (35.4%)

Profiling