Details

analyze904.0ms

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

sample87.0ms

Algorithm

intervals

Results

35.0ms	90×	body	2560	valid
26.0ms	96×	body	1280	valid
5.0ms	27×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5014	21

prune6.0ms

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: 0.5b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64` `difference-of-squares_binary64`
6×	`associate-/r*_binary64`
4×	`difference-of-sqr-1_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 → 71

Calls

3 calls:

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)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
17.0ms	(.f64 5 (.f64 v v))
11.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify73.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5139	1788

prune319.0ms

Filtered

54 candidates to 80 candidates (-48.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	3	81

Merged error: 0.5b

Counts

81 → 3

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.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)))))

rewrite19.0ms

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 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
2.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
2.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
12.0ms	(.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)))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
34.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
39.0ms	(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)))))

simplify100.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4946	2334
1	4946	2334

prune312.0ms

Filtered

48 candidates to 95 candidates (-97.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	5	98

Merged error: 0.5b

Counts

98 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod_binary64`
63×	`add-sqr-sqrt_binary64`
24×	`associate-r_binary64` `unswap-sqr_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`add-exp-log_binary64` `associate-l_binary64`
7×	`pow1_binary64`
6×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`prod-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `acos-asin_binary64` `pow-prod-up_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 104

Calls

4 calls:

1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
13.0ms	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))

series104.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
34.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
35.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
23.0ms	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))

simplify112.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5208	4094

prune373.0ms

Filtered

52 candidates to 116 candidates (-123.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	115	6	121

Merged error: 0.5b

Counts

121 → 6

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 5/2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) (/.f64 3 2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt_binary64`
54×	`sqrt-prod_binary64`
48×	`unpow-prod-down_binary64`
25×	`unswap-sqr_binary64`
16×	`add-exp-log_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64` `associate-l_binary64`
12×	`sqr-pow_binary64`
9×	`prod-exp_binary64`
6×	`pow-to-exp_binary64` `pow1_binary64` `add-cbrt-cube_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`cbrt-unprod_binary64` `acos-asin_binary64` `pow-prod-up_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
13.0ms	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 5/2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) (/.f64 3 2)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
35.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
36.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
21.0ms	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 5/2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) (/.f64 3 2)))

simplify121.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5213	6459

prune462.0ms

Filtered

64 candidates to 116 candidates (-81.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	116	6	122

Merged error: 0.5b

Counts

122 → 6

regimes333.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	21
1	67	21

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	3038×	body	2560	valid
692.0ms	2464×	body	1280	valid
263.0ms	1279×	body	640	valid
99.0ms	652×	body	320	valid
39.0ms	375×	body	160	valid
14.0ms	192×	body	80	valid
1.0ms	14×	body	80	nan

Details

analyze904.0ms

sample87.0ms

simplify87.0ms

prune6.0ms

localize12.0ms

rewrite17.0ms

series61.0ms

simplify73.0ms

prune319.0ms

localize31.0ms

rewrite19.0ms

series105.0ms

simplify100.0ms

prune312.0ms

localize21.0ms

rewrite20.0ms

series104.0ms

simplify112.0ms

prune373.0ms

localize40.0ms

rewrite20.0ms

series104.0ms

simplify121.0ms

prune462.0ms

regimes333.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample2.5s

Profiling