Details

analyze323.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

sample30.0ms

Algorithm

intervals

Results

14.0ms	78×	body	1280	valid
5.0ms	50×	body	640	valid
2.0ms	91×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	13×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

prune2.0ms

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: 41.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.8b	(-.f64 (exp.f64 x) 1)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`associate-/r*_binary64`
5×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 60

Calls

2 calls:

11.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.0ms	(-.f64 (exp.f64 x) 1)

simplify57.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4930	697
1	4930	697

prune65.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	3	67

Merged error: 0.0b

Counts

67 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
0.3b	(*.f64 x 1/12)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

7.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
4.0ms	(*.f64 x 1/12)

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
3.0ms	(*.f64 x 1/12)

simplify74.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4843	225
1	4843	225

prune32.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.8b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `add-exp-log_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `div-exp_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `pow-flip_binary64`

Counts

2 → 59

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5280	640

prune44.0ms

Filtered

36 candidates to 65 candidates (-80.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (exp.f64 (neg.f64 x)))
0.0b	(/.f64 E.f64 (exp.f64 (exp.f64 (neg.f64 x))))
0.0b	(/.f64 1 (log.f64 (/.f64 E.f64 (exp.f64 (exp.f64 (neg.f64 x))))))
3.8b	(log.f64 (/.f64 E.f64 (exp.f64 (exp.f64 (neg.f64 x)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac_binary64`
29×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`log-prod_binary64`
11×	`add-exp-log_binary64`
10×	`pow1_binary64`
8×	`add-cbrt-cube_binary64`
7×	`associate-/r*_binary64`
6×	`associate-/l*_binary64` `div-exp_binary64`
5×	`add-log-exp_binary64` `log-pow_binary64`
3×	`rem-log-exp_binary64` `div-inv_binary64` `exp-prod_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `e-exp-1_binary64`
1×	`1-exp_binary64` `rem-exp-log_binary64` `inv-pow_binary64` `rec-exp_binary64` `log-div_binary64` `pow-flip_binary64`

Counts

4 → 99

Calls

4 calls:

3.0ms	(exp.f64 (exp.f64 (neg.f64 x)))
8.0ms	(/.f64 E.f64 (exp.f64 (exp.f64 (neg.f64 x))))
5.0ms	(/.f64 1 (log.f64 (/.f64 E.f64 (exp.f64 (exp.f64 (neg.f64 x))))))
5.0ms	(log.f64 (/.f64 E.f64 (exp.f64 (exp.f64 (neg.f64 x)))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp.f64 (exp.f64 (neg.f64 x)))
10.0ms	(/.f64 E.f64 (exp.f64 (exp.f64 (neg.f64 x))))
27.0ms	(/.f64 1 (log.f64 (/.f64 E.f64 (exp.f64 (exp.f64 (neg.f64 x))))))
21.0ms	(log.f64 (/.f64 E.f64 (exp.f64 (exp.f64 (neg.f64 x)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4972	1002
1	4972	1002

prune72.0ms

Filtered

73 candidates to 111 candidates (-52.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	112	4	116

Merged error: 0b

Counts

116 → 4

regimes33.0ms

Accuracy

97% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.2b

bsearch12.0ms

Steps

Iters	Range		Point
8	-0.04656747277699857	-3.260266735920925e-06	-0.0019484732184867164

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	24
1	31	24

end0.0ms

sample837.0ms

Algorithm

intervals

Results

386.0ms	2241×	body	1280	valid
192.0ms	1682×	body	640	valid
62.0ms	2837×	body	80	valid
59.0ms	809×	body	320	valid
21.0ms	431×	body	160	valid
0.0ms	1×	body	1280	invalid

Details

analyze323.0ms

sample30.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite18.0ms

series11.0ms

simplify57.0ms

prune65.0ms

localize5.0ms

rewrite11.0ms

series10.0ms

simplify74.0ms

prune32.0ms

localize5.0ms

rewrite14.0ms

series9.0ms

simplify60.0ms

prune44.0ms

localize8.0ms

rewrite23.0ms

series64.0ms

simplify52.0ms

prune72.0ms

regimes33.0ms

bsearch12.0ms

simplify2.0ms

end0.0ms

sample837.0ms

Profiling