Details

analyze233.0ms

Algorithm

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
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample21.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify170.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (161.0ms)

Iter	Nodes	Cost
0	4932	18
1	4932	18

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
19×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`log-prod_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`associate--r+_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `sum-log_binary64`
3×	`sub-neg_binary64` `distribute-lft-out_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `associate-+l-_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

series222.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
36.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
41.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
94.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

simplify93.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5489	1613

prune80.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`associate-*l/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`distribute-lft-out_binary64` `pow1/3_binary64`
1×	`associate-r_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

8.0ms	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
12.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series817.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
407.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
84.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)

simplify119.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4938	1187
1	4938	1187

prune90.0ms

Filtered

69 candidates to 83 candidates (-20.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	5	0	5
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 (+.f64 y 1/2) (+.f64 (.f64 2/3 (log.f64 y)) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) (+.f64 y 1/2)))
0.4b	(*.f64 2/3 (log.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`flip3-+_binary64` `flip-+_binary64`
20×	`associate-*r/_binary64`
16×	`frac-add_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
8×	`frac-times_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`associate-r_binary64` `associate-*l/_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

13.0ms	(+.f64 (.f64 (+.f64 y 1/2) (+.f64 (.f64 2/3 (log.f64 y)) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) (+.f64 y 1/2)))
5.0ms	(*.f64 2/3 (log.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series542.0ms

Counts

4 → 12

Calls

4 calls:

367.0ms	(+.f64 (.f64 (+.f64 y 1/2) (+.f64 (.f64 2/3 (log.f64 y)) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) (+.f64 y 1/2)))
53.0ms	(*.f64 2/3 (log.f64 y))
64.0ms	(cbrt.f64 (sqrt.f64 y))
57.0ms	(cbrt.f64 (sqrt.f64 y))

simplify98.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4949	3034
1	4949	3034

prune132.0ms

Filtered

77 candidates to 96 candidates (-24.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1)))
0.1b	(+.f64 (-.f64 x (.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 (*.f64 y 3) 3/2))) y)
0.3b	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 (*.f64 y 3) 3/2))
0.6b	(cbrt.f64 (neg.f64 y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-prod_binary64`
9×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64`
6×	`log-pow_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-down_binary64` `pow1/3_binary64`
3×	`associate-r_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`flip3-+_binary64` `rem-log-exp_binary64` `associate-*r/_binary64` `prod-exp_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-prod_binary64` `associate-+l+_binary64` `neg-mul-1_binary64` `distribute-lft-in_binary64` `associate-+l-_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

5.0ms	(log.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1)))
6.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 (*.f64 y 3) 3/2))) y)
11.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 (*.f64 y 3) 3/2))
2.0ms	(cbrt.f64 (neg.f64 y))

series735.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(log.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1)))
136.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 (*.f64 y 3) 3/2))) y)
304.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 (*.f64 y 3) 3/2))
107.0ms	(cbrt.f64 (neg.f64 y))

simplify121.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4868	1662
1	4868	1662

prune80.0ms

Filtered

57 candidates to 83 candidates (-45.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	82	6	88

Merged error: 0b

Counts

88 → 6

regimes102.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms

sample519.0ms

Algorithm

intervals

Results

346.0ms	7998×	body	80	valid
1.0ms	22×	body	80	invalid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze233.0ms

sample21.0ms

simplify170.0ms

prune3.0ms

localize9.0ms

rewrite27.0ms

series222.0ms

simplify93.0ms

prune80.0ms

localize17.0ms

rewrite25.0ms

series817.0ms

simplify119.0ms

prune90.0ms

localize21.0ms

rewrite24.0ms

series542.0ms

simplify98.0ms

prune132.0ms

localize15.0ms

rewrite26.0ms

series735.0ms

simplify121.0ms

prune80.0ms

regimes102.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample519.0ms

Profiling