Details

analyze842.0ms

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

sample78.0ms

Algorithm

intervals

Results

37.0ms	92×	body	2560	valid
20.0ms	73×	body	1280	valid
9.0ms	43×	body	640	valid
3.0ms	23×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	10×	body	80	valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5797	14

prune5.0ms

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: 0.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
0.2b	(.f64 5.0 (.f64 v v))
0.7b	(acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`times-frac_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
4×	`associate-/r*_binary64` `difference-of-squares_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`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

3 → 63

Calls

3 calls:

10.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
6.0ms	(.f64 5.0 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
4.0ms	(.f64 5.0 (.f64 v v))
4.0ms	(acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4960	1050
1	4960	1050

prune81.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.7b

Counts

73 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
0.0b	(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
0.2b	(.f64 5.0 (.f64 v v))
0.7b	(asin.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`associate-/r*_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` `asin-acos_binary64` `associate-/r/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `associate--r-_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
8.0ms	(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
6.0ms	(.f64 5.0 (.f64 v v))
1.0ms	(asin.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
6.0ms	(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
4.0ms	(.f64 5.0 (.f64 v v))
4.0ms	(asin.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5203	1507

prune103.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0.7b

Counts

94 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0))
0.7b	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`flip3-+_binary64` `acos-asin_binary64` `associate-r_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

10.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0))
1.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

series24.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0))
4.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

simplify32.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5085	382

prune36.0ms

Filtered

21 candidates to 34 candidates (-61.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Merged error: 0.7b

Counts

39 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))
0.9b	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
0.9b	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0b	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (sqrt.f64 (acos.f64 (-.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`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×	`rem-sqrt-square_binary64`
1×	`cbrt-unprod_binary64` `acos-asin_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

1.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
7.0ms	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (sqrt.f64 (acos.f64 (-.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))
12.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
14.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
5.0ms	(.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (sqrt.f64 (acos.f64 (-.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4907	1280
1	4907	1280

prune73.0ms

Filtered

47 candidates to 95 candidates (-102.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	94	6	100

Merged error: 0.7b

Counts

100 → 6

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	2986×	body	2560	valid
703.0ms	2423×	body	1280	valid
272.0ms	1266×	body	640	valid
97.0ms	644×	body	320	valid
49.0ms	464×	body	160	valid
13.0ms	217×	body	80	valid
0.0ms	12×	body	80	nan

Details

analyze842.0ms

sample78.0ms

simplify112.0ms

prune5.0ms

localize7.0ms

rewrite19.0ms

series15.0ms

simplify68.0ms

prune81.0ms

localize10.0ms

rewrite27.0ms

series21.0ms

simplify61.0ms

prune103.0ms

localize8.0ms

rewrite11.0ms

series24.0ms

simplify32.0ms

prune36.0ms

localize10.0ms

rewrite13.0ms

series36.0ms

simplify57.0ms

prune73.0ms

regimes102.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling