Details

analyze4.0ms

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

sample90.0ms

Algorithm

intervals

Results

53.0ms	118×	body	1280	valid
23.0ms	76×	body	640	valid
5.0ms	32×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	8×	body	80	valid

simplify153.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	5284	12

prune1.0ms

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: 58.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

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-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 92

Calls

2 calls:

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

series38.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
27.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify122.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4945	1892
1	4945	1892

prune71.0ms

Filtered

60 candidates to 98 candidates (-63.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 0.0b

Counts

99 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

7.0ms	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 (pow.f64 eps 3) 2/3)

series90.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
31.0ms	(*.f64 (pow.f64 eps 5) -2/5)
29.0ms	(*.f64 (pow.f64 eps 3) 2/3)

simplify58.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5046	1075

prune64.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	79	2	81

Merged error: 0.0b

Counts

81 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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-/l*_binary64`
5×	`log-pow_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `associate-/r/_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `associate-/l/_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` `rem-cbrt-cube_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64` `pow-exp_binary64`

Counts

4 → 140

Calls

4 calls:

15.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
7.0ms	(pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
4.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
34.0ms	(pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
28.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3))
31.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify94.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4925	2918
1	4925	2918

prune90.0ms

Filtered

85 candidates to 152 candidates (-78.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Merged error: 0b

Counts

154 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3))))
0.0b	(pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
1.1b	(log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))
6.0b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64`
39×	`log-pow_binary64`
38×	`add-sqr-sqrt_binary64`
33×	`log-prod_binary64`
28×	`exp-prod_binary64`
26×	`add-cube-cbrt_binary64`
24×	`times-frac_binary64`
19×	`cbrt-prod_binary64`
14×	`pow1_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
8×	`add-exp-log_binary64` `difference-of-squares_binary64`
6×	`distribute-lft-out_binary64`
5×	`add-cbrt-cube_binary64` `cube-mult_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`pow-unpow_binary64` `rem-log-exp_binary64` `sqr-pow_binary64` `unpow3_binary64`
2×	`associate-/r/_binary64` `exp-to-pow_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 120

Calls

4 calls:

4.0ms	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3))))
4.0ms	(pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
4.0ms	(log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3))))
34.0ms	(pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
35.0ms	(log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))
30.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify80.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4953	2578
1	4953	2578

prune79.0ms

Filtered

71 candidates to 132 candidates (-85.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes40.0ms

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	44	22
1	44	22

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s	3429×	body	1280	valid
646.0ms	2519×	body	640	valid
177.0ms	1151×	body	320	valid
66.0ms	677×	body	160	valid
10.0ms	224×	body	80	valid

Details

analyze4.0ms

sample90.0ms

simplify153.0ms

prune1.0ms

localize5.0ms

rewrite20.0ms

series38.0ms

simplify122.0ms

prune71.0ms

localize10.0ms

rewrite20.0ms

series90.0ms

simplify58.0ms

prune64.0ms

localize8.0ms

rewrite43.0ms

series104.0ms

simplify94.0ms

prune90.0ms

localize10.0ms

rewrite25.0ms

series130.0ms

simplify80.0ms

prune79.0ms

regimes40.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.6s

Profiling