Details

sample59.0ms

Algorithm

intervals

Results

33.0ms	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

localize3.0ms

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×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

5.0ms

(log (+ 1.0 x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune45.0ms

Pruning

3 alts after pruning (2 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	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite48.0ms

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`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

40.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series101.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
43.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	560	763
1	2406	633
2	5001	632

prune299.0ms

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))

rewrite21.0ms

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` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 65

Calls

4 calls:

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

series279.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (log (+ 1.0 x)))
40.0ms	(log (+ 1.0 x))
46.0ms	(log (+ 1.0 x))
40.0ms	(log (+ 1.0 x))

simplify115.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	321	470
1	1028	431
2	4280	399
3	5001	396

prune205.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.1b	(pow (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 3)
34.1b	(cbrt (pow (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 3))

rewrite52.0ms

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`
7×	`pow1` `pow-to-exp` `pow-exp`
6×	`cube-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow3` `cbrt-unprod`
1×	`cbrt-undiv` `pow-pow` `pow1/3` `associate-r/` `pow-prod-down` `-commutative` `rem-cbrt-cube` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 170

Calls

4 calls:

40.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
3.0ms	(pow (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 3)
2.0ms	(cbrt (pow (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 3))

series241.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
47.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
100.0ms	(pow (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 3)
44.0ms	(cbrt (pow (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 3))

simplify84.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	726	1450
1	3699	1213
2	5001	1203

prune431.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b 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	18	10
1	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

966.0ms	2248×	body	1280	valid
354.0ms	1745×	body	640	valid
86.0ms	811×	body	320	valid
56.0ms	2772×	body	80	valid
39.0ms	2712×	body	80	nan
25.0ms	424×	body	160	valid