Details

analyze820.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

sample79.0ms

Algorithm

intervals

Results

35.0ms	84×	body	2560	valid
24.0ms	82×	body	1280	valid
8.0ms	38×	body	640	valid
3.0ms	20×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	14×	body	80	valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5200	21

prune1.0ms

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: 1.1b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (.f64 5 (.f64 v v)))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
1.1b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64`
4×	`difference-of-sqr-1_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `acos-asin_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

3.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
28.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
17.0ms	(.f64 5 (.f64 v v))
12.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify78.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5414	1987

prune90.0ms

Filtered

64 candidates to 94 candidates (-46.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	5	95

Merged error: 1.1b

Counts

95 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (.f64 5 (.f64 v v)))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
1.2b	(asin.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64`
4×	`difference-of-sqr-1_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`sub-neg_binary64` `asin-acos_binary64` `diff-log_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

3.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(asin.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
28.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
18.0ms	(.f64 5 (.f64 v v))
13.0ms	(asin.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify82.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5414	1987

prune98.0ms

Filtered

64 candidates to 94 candidates (-46.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Merged error: 1.1b

Counts

99 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
1.2b	(asin.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v))))) (.f64 (cbrt.f64 (-.f64 (.f64 v v) 1)) (cbrt.f64 (-.f64 (.f64 v v) 1)))) (/.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (cbrt.f64 (-.f64 (.f64 v v) 1)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`asin-acos_binary64`

Counts

4 → 65

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
6.0ms	(.f64 5 (.f64 v v))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(asin.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v))))) (.f64 (cbrt.f64 (-.f64 (.f64 v v) 1)) (cbrt.f64 (-.f64 (.f64 v v) 1)))) (/.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (cbrt.f64 (-.f64 (.f64 v v) 1)))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(.f64 5 (.f64 v v))
18.0ms	(.f64 5 (.f64 v v))
18.0ms	(.f64 5 (.f64 v v))
29.0ms	(asin.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v))))) (.f64 (cbrt.f64 (-.f64 (.f64 v v) 1)) (cbrt.f64 (-.f64 (.f64 v v) 1)))) (/.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (cbrt.f64 (-.f64 (.f64 v v) 1)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5771	816

prune102.0ms

Filtered

43 candidates to 77 candidates (-79.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	77	5	82

Merged error: 1.1b

Counts

82 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.9b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.1b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.1b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
20×	`pow1_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`swap-sqr_binary64`
6×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`acos-asin_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
6.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
16.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
13.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
13.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify81.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4879	2145
1	4879	2145

prune71.0ms

Filtered

47 candidates to 90 candidates (-91.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	89	6	95

Merged error: 1.1b

Counts

95 → 6

regimes96.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	91	82
1	91	82

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	2975×	body	2560	valid
679.0ms	2460×	body	1280	valid
259.0ms	1255×	body	640	valid
98.0ms	638×	body	320	valid
45.0ms	435×	body	160	valid
14.0ms	237×	body	80	valid
1.0ms	15×	body	80	nan

Details

analyze820.0ms

sample79.0ms

simplify91.0ms

prune1.0ms

localize8.0ms

rewrite21.0ms

series92.0ms

simplify78.0ms

prune90.0ms

localize13.0ms

rewrite22.0ms

series94.0ms

simplify82.0ms

prune98.0ms

localize20.0ms

rewrite21.0ms

series84.0ms

simplify67.0ms

prune102.0ms

localize13.0ms

rewrite12.0ms

series76.0ms

simplify81.0ms

prune71.0ms

regimes96.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample2.4s

Profiling