Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample55.0ms

Algorithm

intervals

Results

20.0ms	56×	body	1280	valid
9.0ms	39×	body	640	valid
6.0ms	129×	body	80	valid
4.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5120	15

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: 30.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`
5×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `difference-of-squares_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 63

Calls

3 calls:

3.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
16.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series77.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
27.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
44.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify108.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5061	1370

prune221.0ms

Filtered

49 candidates to 72 candidates (-46.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
4.0b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
23×	`distribute-lft-out_binary64`
12×	`difference-of-sqr--1_binary64`
11×	`pow1_binary64`
10×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
9×	`associate-/l*_binary64`
8×	`associate-/r*_binary64`
6×	`add-log-exp_binary64` `swap-sqr_binary64`
4×	`associate-r_binary64` `associate-/r/_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-sqr_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 137

Calls

4 calls:

5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
10.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
26.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
19.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

series279.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
18.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
157.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
76.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

simplify100.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4964	4516
1	4964	4516

prune510.0ms

Filtered

97 candidates to 149 candidates (-53.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	149	3	152

Merged error: 0.0b

Counts

152 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
0.1b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
19.5b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
14×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `associate--l+_binary64` `cube-mult_binary64`

Counts

4 → 80

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
9.0ms	(*.f64 2/15 (pow.f64 x 5))
6.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
32.0ms	(*.f64 2/15 (pow.f64 x 5))
29.0ms	(*.f64 1/3 (pow.f64 x 3))
32.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

simplify78.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5028	1198

prune254.0ms

Filtered

59 candidates to 92 candidates (-55.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
0.1b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
19.5b	(-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
14×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 82

Calls

4 calls:

6.0ms	(+.f64 x (-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
5.0ms	(*.f64 2/15 (pow.f64 x 5))
6.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+.f64 x (-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
32.0ms	(*.f64 2/15 (pow.f64 x 5))
24.0ms	(*.f64 1/3 (pow.f64 x 3))
94.0ms	(-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))

simplify83.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4989	1329
1	4989	1329

prune450.0ms

Filtered

60 candidates to 94 candidates (-56.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0b

Counts

97 → 3

regimes341.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.5b

bsearch2.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	92	122
1	92	122

end0.0ms

sample1.1s

Algorithm

intervals

Results

448.0ms	1724×	body	1280	valid
219.0ms	1250×	body	640	valid
145.0ms	4079×	body	80	valid
76.0ms	639×	body	320	valid
24.0ms	308×	body	160	valid

Details

analyze4.0ms

sample55.0ms

simplify95.0ms

prune5.0ms

localize10.0ms

rewrite27.0ms

series77.0ms

simplify108.0ms

prune221.0ms

localize18.0ms

rewrite66.0ms

series279.0ms

simplify100.0ms

prune510.0ms

localize14.0ms

rewrite28.0ms

series175.0ms

simplify78.0ms

prune254.0ms

localize14.0ms

rewrite25.0ms

series178.0ms

simplify83.0ms

prune450.0ms

regimes341.0ms

bsearch2.0ms

simplify4.0ms

end0.0ms

sample1.1s

Profiling