Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample63.0ms

Algorithm

intervals

Results

38.0ms	75×	body	1280	valid
12.0ms	54×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	87×	body	80	valid
1.0ms	14×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

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: 40.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.0b	(log (+ 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4927	144
1	4927	144

prune39.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.3b

Counts

19 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* x x) (/ -1/2 (* 1.0 1.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
11×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`pow1`
5×	`add-sqr-sqrt`
4×	`cbrt-undiv` `times-frac` `div-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
2×	`unswap-sqr`
1×	`associate-r/` `associate-l` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

9.0ms

(* (* x x) (/ -1/2 (* 1.0 1.0)))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x x) (/ -1/2 (* 1.0 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5285	305

prune45.0ms

Filtered

20 candidates to 36 candidates (-80.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	36	4	40

Merged error: 0.3b

Counts

40 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp x) x)
2.4b	(log (pow (pow (exp x) x) (/ -1/2 (* 1.0 1.0))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`unpow-prod-down`
11×	`log-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`rem-log-exp` `pow-exp`
4×	`add-exp-log` `pow-pow`
3×	`pow1` `pow-to-exp` `pow-unpow` `exp-prod` `sqr-pow`
2×	`add-cbrt-cube` `add-log-exp`
1×	`log-pow`

Counts

2 → 44

Calls

2 calls:

3.0ms	(pow (exp x) x)
4.0ms	(log (pow (pow (exp x) x) (/ -1/2 (* 1.0 1.0))))

series37.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(pow (exp x) x)
33.0ms	(log (pow (pow (exp x) x) (/ -1/2 (* 1.0 1.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5255	445

prune70.0ms

Filtered

31 candidates to 50 candidates (-61.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	49	5	54

Merged error: 0.3b

Counts

54 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp x))
0.0b	(+ (* (/ -1/2 (* 1.0 1.0)) (* 2 (* x (log (cbrt (exp x)))))) (* x (* (log (cbrt (exp x))) (/ -1/2 (* 1.0 1.0)))))
5.3b	(log (cbrt (exp x)))
5.3b	(log (cbrt (exp x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

72×	`distribute-rgt-in` `distribute-lft-in`
60×	`log-prod`
48×	`associate-+l+`
33×	`cbrt-prod`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`log-pow` `add-cbrt-cube`
3×	`pow1/3`
2×	`associate-*r/` `rem-log-exp`
1×	`+-commutative` `flip3-+` `associate-*l/` `frac-add` `sum-log` `flip-+`

Counts

4 → 103

Calls

4 calls:

2.0ms	(cbrt (exp x))
18.0ms	(+ (* (/ -1/2 (* 1.0 1.0)) (* 2 (* x (log (cbrt (exp x)))))) (* x (* (log (cbrt (exp x))) (/ -1/2 (* 1.0 1.0)))))
2.0ms	(log (cbrt (exp x)))
2.0ms	(log (cbrt (exp x)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (exp x))
55.0ms	(+ (* (/ -1/2 (* 1.0 1.0)) (* 2 (* x (log (cbrt (exp x)))))) (* x (* (log (cbrt (exp x))) (/ -1/2 (* 1.0 1.0)))))
38.0ms	(log (cbrt (exp x)))
39.0ms	(log (cbrt (exp x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4992	1240
1	4992	1240

prune213.0ms

Filtered

99 candidates to 115 candidates (-16.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	0	1	1
Picked	1	0	1
Done	1	2	3
Total	114	6	120

Merged error: 0.3b

Counts

120 → 6

regimes133.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.2b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	43
1	37	43

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	2311×	body	1280	valid
381.0ms	1680×	body	640	valid
100.0ms	850×	body	320	valid
72.0ms	2742×	body	80	valid
30.0ms	417×	body	160	valid

Details

analyze3.0ms

sample63.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series3.0ms

simplify57.0ms

prune39.0ms

localize9.0ms

rewrite11.0ms

series3.0ms

simplify46.0ms

prune45.0ms

localize13.0ms

rewrite9.0ms

series37.0ms

simplify46.0ms

prune70.0ms

localize17.0ms

rewrite32.0ms

series147.0ms

simplify46.0ms

prune213.0ms

regimes133.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling