Details

sample67.0ms

Algorithm

intervals

Results

38.0ms	72×	body	1280	valid
13.0ms	53×	body	640	valid
3.0ms	25×	body	320	valid
3.0ms	92×	body	80	valid
2.0ms	102×	body	80	nan
1.0ms	14×	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: 38.8b

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b	(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:

3.0ms

(log (+ 1.0 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(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

prune45.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

27.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify56.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	531	638
1	2305	526
2	5002	525

prune241.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

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)))

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)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify60.0ms

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

prune174.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

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

series327.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(log (sqrt (+ 1.0 x)))
82.0ms	(log (sqrt (+ 1.0 x)))
82.0ms	(log (sqrt (+ 1.0 x)))
80.0ms	(log (sqrt (+ 1.0 x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	136	596
1	337	536
2	1189	516
3	5002	500

prune219.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes103.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 21.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	2307×	body	1280	valid
398.0ms	1657×	body	640	valid
106.0ms	821×	body	320	valid
87.0ms	2816×	body	80	valid
56.0ms	2604×	body	80	nan
33.0ms	399×	body	160	valid