Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample101.0ms

Algorithm

intervals

Results

65.0ms	118×	body	1280	valid
22.0ms	76×	body	640	valid
6.0ms	32×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	7×	body	80	valid

simplify273.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (264.0ms)

Iter	Nodes	Cost
0	4006	15
1	4006	15

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 58.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
39.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify108.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5207	1898

prune86.0ms

Filtered

59 candidates to 97 candidates (-64.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`add-exp-log_binary64`
12×	`add-log-exp_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64` `sum-log_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

13.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

series92.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
31.0ms	(*.f64 2/5 (pow.f64 x 5))
30.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify66.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5387	1082

prune69.0ms

Filtered

51 candidates to 79 candidates (-54.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0b

Counts

83 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))
0.0b	(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 x (*.f64 x x)))))
6.0b	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

218×	`*-un-lft-identity_binary64`
188×	`add-sqr-sqrt_binary64`
144×	`times-frac_binary64`
116×	`log-prod_binary64`
104×	`difference-of-squares_binary64`
58×	`add-cube-cbrt_binary64`
54×	`associate-+l+_binary64`
43×	`distribute-lft-out_binary64`
26×	`sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
13×	`distribute-lft-out--_binary64`
12×	`associate-/r*_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
6×	`log-pow_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64` `log-div_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/l*_binary64` `flip-+_binary64` `associate-+r+_binary64`
3×	`flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-+r-_binary64` `div-exp_binary64`
1×	`cbrt-undiv_binary64` `associate-+l-_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 236

Calls

4 calls:

15.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))
22.0ms	(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 x (*.f64 x x)))))
5.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))
12.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))
56.0ms	(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 x (*.f64 x x)))))
15.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))
23.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))

simplify148.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5002	6633

prune224.0ms

Filtered

134 candidates to 248 candidates (-85.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	248	4	252

Merged error: 0b

Counts

252 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
0.1b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
30×	`log-prod_binary64`
18×	`difference-of-squares_binary64`
14×	`cbrt-prod_binary64`
13×	`distribute-lft-out_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`distribute-lft-out--_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r*_binary64`
5×	`log-pow_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `rem-log-exp_binary64` `sqr-pow_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 139

Calls

4 calls:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
3.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
35.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
27.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3))
30.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify118.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4944	2924
1	4944	2924

prune104.0ms

Filtered

85 candidates to 151 candidates (-77.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	152	3	155

Merged error: 0b

Counts

155 → 3

regimes28.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.7s	3431×	body	1280	valid
725.0ms	2514×	body	640	valid
208.0ms	1156×	body	320	valid
73.0ms	666×	body	160	valid
12.0ms	233×	body	80	valid

Details

analyze5.0ms

sample101.0ms

simplify273.0ms

prune3.0ms

localize6.0ms

rewrite20.0ms

series50.0ms

simplify108.0ms

prune86.0ms

localize10.0ms

rewrite27.0ms

series92.0ms

simplify66.0ms

prune69.0ms

localize13.0ms

rewrite68.0ms

series116.0ms

simplify148.0ms

prune224.0ms

localize8.0ms

rewrite27.0ms

series103.0ms

simplify118.0ms

prune104.0ms

regimes28.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.9s

Profiling