Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample19.0ms

Algorithm

intervals

Results

13.0ms

256×

body

128

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

prune2.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b	(/.f64 1 (-.f64 x 1))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64`
41×	`times-frac_binary64`
40×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
11×	`associate-/r*_binary64`
8×	`add-exp-log_binary64` `difference-of-squares_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64`
3×	`div-inv_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `frac-add_binary64` `inv-pow_binary64` `rec-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

3 → 99

Calls

3 calls:

6.0ms	(/.f64 x (+.f64 x 1))
36.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
7.0ms	(/.f64 1 (-.f64 x 1))

series109.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/.f64 x (+.f64 x 1))
61.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
24.0ms	(/.f64 1 (-.f64 x 1))

simplify69.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5318	1571

prune74.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	2	109

Merged error: 0b

Counts

109 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 1 x))
0.0b	(/.f64 1 (+.f64 -1 x))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3))
0.0b	(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

136×	`*-un-lft-identity_binary64`
56×	`times-frac_binary64`
48×	`distribute-lft-out_binary64`
28×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`cbrt-prod_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/r*_binary64`
6×	`pow1_binary64` `cube-div_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`cbrt-div_binary64` `pow-unpow_binary64`
2×	`cbrt-undiv_binary64` `frac-add_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `inv-pow_binary64` `rem-cube-cbrt_binary64` `rec-exp_binary64` `pow-flip_binary64` `pow-exp_binary64`

Counts

4 → 143

Calls

4 calls:

6.0ms	(/.f64 x (+.f64 1 x))
6.0ms	(/.f64 1 (+.f64 -1 x))
30.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3))
30.0ms	(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3)

series201.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/.f64 x (+.f64 1 x))
17.0ms	(/.f64 1 (+.f64 -1 x))
74.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3))
87.0ms	(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3)

simplify259.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4988	2832
1	4988	2832

prune94.0ms

Filtered

82 candidates to 155 candidates (-89.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	155	2	157

Merged error: 0b

Counts

157 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(+.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
0.0b	(exp.f64 (/.f64 1 (+.f64 -1 x)))
3.4b	(log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64` `exp-prod_binary64`
31×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
20×	`log-pow_binary64`
12×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
4×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
3×	`associate-+l+_binary64` `associate-/l*_binary64` `div-inv_binary64`
1×	`cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 105

Calls

4 calls:

6.0ms	(/.f64 x (+.f64 x 1))
34.0ms	(+.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
7.0ms	(exp.f64 (/.f64 1 (+.f64 -1 x)))
8.0ms	(log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/.f64 x (+.f64 x 1))
97.0ms	(+.f64 (log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
20.0ms	(exp.f64 (/.f64 1 (+.f64 -1 x)))
33.0ms	(log.f64 (exp.f64 (/.f64 1 (+.f64 -1 x))))

simplify97.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4929	1583
1	4929	1583

prune94.0ms

Filtered

88 candidates to 117 candidates (-33.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

regimes8.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	15	21

end0.0ms

sample329.0ms

Algorithm

intervals

Results

231.0ms

8000×

body

128

valid

Details

analyze4.0ms

sample19.0ms

simplify8.0ms

prune2.0ms

localize6.0ms

rewrite57.0ms

series109.0ms

simplify69.0ms

prune74.0ms

localize9.0ms

rewrite90.0ms

series201.0ms

simplify259.0ms

prune94.0ms

localize9.0ms

rewrite65.0ms

series176.0ms

simplify97.0ms

prune94.0ms

regimes8.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample329.0ms

Profiling