Details

sample61.0ms

Algorithm

intervals

Results

34.0ms	71×	body	1280	valid
11.0ms	52×	body	640	valid
2.0ms	23×	body	320	valid
2.0ms	94×	body	80	valid
1.0ms	80×	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: 38.0b

localize7.0ms

Local error

Found 1 expressions with local error:

3.9b	(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:

5.0ms

(log (+ 1.0 x))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (36.0ms)

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

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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))))

rewrite99.0ms

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))))

series91.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
38.0ms	(- (+ (* 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 (62.0ms)

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

prune303.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (log (+ 1.0 x)))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (+ 1.0 x))
5.0ms	(log (+ 1.0 x))

series267.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (log (+ 1.0 x)))
44.0ms	(log (+ 1.0 x))
39.0ms	(log (+ 1.0 x))
44.0ms	(log (+ 1.0 x))

simplify108.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	306	453
1	946	413
2	3951	376
3	5002	368

prune176.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 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))))
0.1b	(pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
34.1b	(cbrt (pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
78×	`add-sqr-sqrt`
68×	`associate-r`
62×	`unpow-prod-down`
44×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
26×	`sqr-pow`
24×	`unpow2`
17×	`unswap-sqr`
12×	`cbrt-prod`
10×	`prod-exp` `add-cbrt-cube`
9×	`div-exp`
8×	`cube-div` `add-log-exp`
7×	`pow1` `pow-to-exp` `associate-*r/` `pow-exp`
6×	`cube-prod` `frac-sub`
4×	`cbrt-div`
3×	`pow-unpow` `flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
2×	`cube-mult` `diff-log` `unpow3` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `pow-pow` `pow1/3` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 178

Calls

4 calls:

37.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
50.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
52.0ms	(pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
46.0ms	(cbrt (pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3))

series221.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
36.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
91.0ms	(pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
42.0ms	(cbrt (pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3))

simplify103.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	888	1762
1	4103	1599
2	5001	1589

prune475.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

983.0ms	2248×	body	1280	valid
366.0ms	1745×	body	640	valid
85.0ms	811×	body	320	valid
62.0ms	2772×	body	80	valid
36.0ms	2712×	body	80	nan
26.0ms	424×	body	160	valid