Details

sample64.0ms

Algorithm

intervals

Results

39.0ms	84×	body	1280	valid
12.0ms	61×	body	640	valid
2.0ms	82×	body	80	valid
1.0ms	13×	body	320	valid
1.0ms	101×	body	80	nan
1.0ms	16×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize3.0ms

Local error

Found 1 expressions with local error:

4.2b	(log (+ 1.0 x))

rewrite5.0ms

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:

4.0ms

(log (+ 1.0 x))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(log (+ 1.0 x))

simplify37.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 126

Calls

2 calls:

37.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
53.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series89.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
42.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify76.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	676	950
1	3419	758
2	5001	757

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
4.3b	(log (sqrt (+ 1.0 x)))
4.3b	(log (sqrt (+ 1.0 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

7.0ms	(sqrt (+ 1.0 x))
7.0ms	(sqrt (+ 1.0 x))
5.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (+ 1.0 x)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ 1.0 x))
27.0ms	(sqrt (+ 1.0 x))
78.0ms	(log (sqrt (+ 1.0 x)))
77.0ms	(log (sqrt (+ 1.0 x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	176	480
1	494	436
2	1896	418
3	5001	406

prune170.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (log (sqrt (+ 1.0 x))) 3))
0.3b	(pow (log (sqrt (+ 1.0 x))) 3)
4.3b	(log (sqrt (+ 1.0 x)))
4.3b	(log (sqrt (+ 1.0 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod` `*-un-lft-identity` `log-pow`
17×	`pow1`
14×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
12×	`unpow-prod-down` `cube-prod`
8×	`sqrt-prod`
7×	`add-exp-log`
6×	`sqrt-pow1` `pow1/2`
5×	`add-cbrt-cube`
4×	`log-div` `sqrt-div` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `flip3-+` `unpow3` `rem-log-exp` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 96

Calls

4 calls:

3.0ms	(cbrt (pow (log (sqrt (+ 1.0 x))) 3))
4.0ms	(pow (log (sqrt (+ 1.0 x))) 3)
5.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (+ 1.0 x)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt (pow (log (sqrt (+ 1.0 x))) 3))
178.0ms	(pow (log (sqrt (+ 1.0 x))) 3)
77.0ms	(log (sqrt (+ 1.0 x)))
77.0ms	(log (sqrt (+ 1.0 x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	324	689
1	1217	632
2	5001	603

prune193.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

979.0ms	2276×	body	1280	valid
343.0ms	1702×	body	640	valid
83.0ms	807×	body	320	valid
60.0ms	2813×	body	80	valid
34.0ms	2609×	body	80	nan
23.0ms	402×	body	160	valid