Details

sample56.0ms

Algorithm

intervals

Results

31.0ms	69×	body	1280	valid
12.0ms	56×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	92×	body	80	valid
1.0ms	88×	body	80	nan
1.0ms	13×	body	160	valid

simplify6.0ms

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: 38.6b

localize3.0ms

Local error

Found 1 expressions with local error:

3.8b	(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))

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

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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:

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

series98.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
56.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify71.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (60.0ms)

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

prune287.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (log (+ 1.0 x)))
0.5b	(exp (log (log (+ 1.0 x))))
3.8b	(log (+ 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

1.0ms	(log (log (+ 1.0 x)))
2.0ms	(exp (log (log (+ 1.0 x))))
6.0ms	(log (+ 1.0 x))

series181.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(log (log (+ 1.0 x)))
49.0ms	(exp (log (log (+ 1.0 x))))
42.0ms	(log (+ 1.0 x))

simplify95.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	267	330
1	841	300
2	3570	275
3	5003	265

prune100.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (log (+ 1.0 x)))
0.6b	(pow E (log (log (+ 1.0 x))))
3.8b	(log (+ 1.0 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-exp-log`
5×	`log-pow`
4×	`unpow-prod-up` `pow-unpow`
3×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `rem-log-exp` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `flip3-+` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

3 → 51

Calls

3 calls:

1.0ms	(log (log (+ 1.0 x)))
2.0ms	(pow E (log (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))

series275.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(log (log (+ 1.0 x)))
137.0ms	(pow E (log (log (+ 1.0 x))))
46.0ms	(log (+ 1.0 x))

simplify32.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	314	410
1	1126	358
2	5001	335

prune118.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes91.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.3b

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

980.0ms	2242×	body	1280	valid
355.0ms	1700×	body	640	valid
90.0ms	858×	body	320	valid
58.0ms	2769×	body	80	valid
39.0ms	2797×	body	80	nan
26.0ms	431×	body	160	valid