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
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

sample32.0ms

Algorithm

intervals

Results

15.0ms	66×	body	1280	valid
6.0ms	44×	body	640	valid
3.0ms	113×	body	80	valid
2.0ms	24×	body	320	valid
0.0ms	9×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	228	6
1	228	6

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: 34.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.0b	(- (exp x) 1.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

6.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (- (exp x) 1.0) x)
3.0ms	(- (exp x) 1.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4909	534
1	4909	534

prune76.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	4	58

Merged error: 0.1b

Counts

58 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ 1/2 (* x 1/6)))
0.4b	(* x 1/6)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 40

Calls

2 calls:

5.0ms	(* x (+ 1/2 (* x 1/6)))
4.0ms	(* x 1/6)

series8.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (+ 1/2 (* x 1/6)))
2.0ms	(* x 1/6)

simplify42.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5037	298

prune53.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.1b

Counts

50 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
3.0b	(- (exp x) 1.0)
3.0b	(- (exp x) 1.0)
3.0b	(- (exp x) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 54

Calls

4 calls:

4.0ms	(cbrt (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series24.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5042	485

prune108.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	66	4	70

Merged error: 0.1b

Counts

70 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

1.3b	(log (exp (cbrt (- (exp x) 1.0))))
3.0b	(- (exp x) 1.0)
3.0b	(- (exp x) 1.0)
3.0b	(- (exp x) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
9×	`log-pow`
8×	`exp-prod`
7×	`add-cube-cbrt`
5×	`pow1` `cbrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `log-prod` `flip3--` `diff-log` `flip--`
1×	`rem-log-exp`

Counts

4 → 59

Calls

4 calls:

7.0ms	(log (exp (cbrt (- (exp x) 1.0))))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series24.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(log (exp (cbrt (- (exp x) 1.0))))
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)

simplify29.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4906	487
1	4906	487

prune122.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	4	75

Merged error: 0.1b

Counts

75 → 4

regimes36.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.7b

bsearch10.0ms

Steps

Iters	Range		Point
8	-0.0030676552448851	-8.677766082974112e-07	-0.00016731611966497463

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	21
1	31	21

end0.0ms

sample891.0ms

Algorithm

intervals

Results

429.0ms	2262×	body	1280	valid
203.0ms	1632×	body	640	valid
67.0ms	2881×	body	80	valid
64.0ms	803×	body	320	valid
24.0ms	422×	body	160	valid

Details

analyze4.0ms

sample32.0ms

simplify11.0ms

prune2.0ms

localize4.0ms

rewrite11.0ms

series7.0ms

simplify44.0ms

prune76.0ms

localize7.0ms

rewrite10.0ms

series8.0ms

simplify42.0ms

prune53.0ms

localize8.0ms

rewrite17.0ms

series24.0ms

simplify45.0ms

prune108.0ms

localize11.0ms

rewrite21.0ms

series24.0ms

simplify29.0ms

prune122.0ms

regimes36.0ms

bsearch10.0ms

simplify1.0ms

end0.0ms

sample891.0ms

Profiling