Details

sample64.0ms

Algorithm

intervals

Results

34.0ms	79×	body	1280	valid
15.0ms	61×	body	640	valid
3.0ms	28×	body	320	valid
2.0ms	79×	body	80	valid
1.0ms	82×	body	80	nan
1.0ms	9×	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: 42.3b

localize3.0ms

Local error

Found 1 expressions with local error:

2.7b	(log (+ 1.0 x))

rewrite3.0ms

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:

2.0ms

(log (+ 1.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (37.0ms)

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

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

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))))

rewrite58.0ms

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:

29.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
22.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series95.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* 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))))

simplify73.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	676	882
1	2962	760
2	5001	756

prune285.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
2.7b	(log (sqrt (+ 1.0 x)))
2.7b	(log (sqrt (+ 1.0 x)))

rewrite16.0ms

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:

4.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
3.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ 1.0 x))
29.0ms	(sqrt (+ 1.0 x))
83.0ms	(log (sqrt (+ 1.0 x)))
82.0ms	(log (sqrt (+ 1.0 x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	176	482
1	484	436
2	1819	418
3	5002	406

prune178.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ 1.0 x)))
2.7b	(log (sqrt (+ 1.0 x)))
2.8b	(log (sqrt (sqrt (+ 1.0 x))))
2.8b	(log (sqrt (sqrt (+ 1.0 x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-prod`
27×	`log-prod`
22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`pow1` `add-cube-cbrt` `sqrt-div`
13×	`sqrt-pow1` `log-pow`
7×	`add-exp-log` `pow1/2`
6×	`log-div`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp`
2×	`rem-sqrt-square`

Counts

4 → 92

Calls

4 calls:

4.0ms	(sqrt (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (sqrt (+ 1.0 x))))
4.0ms	(log (sqrt (sqrt (+ 1.0 x))))

series419.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(sqrt (sqrt (+ 1.0 x)))
83.0ms	(log (sqrt (+ 1.0 x)))
126.0ms	(log (sqrt (sqrt (+ 1.0 x))))
121.0ms	(log (sqrt (sqrt (+ 1.0 x))))

simplify141.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	350	755
1	1097	708
2	4395	676
3	5001	651

prune268.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes309.0ms

Accuracy

97.8% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2336×	body	1280	valid
347.0ms	1650×	body	640	valid
86.0ms	818×	body	320	valid
59.0ms	2790×	body	80	valid
35.0ms	2656×	body	80	nan
25.0ms	406×	body	160	valid