Details

sample83.0ms

Algorithm

intervals

Results

48.0ms	117×	body	1280	valid
16.0ms	75×	body	640	valid
5.0ms	38×	body	320	valid
4.0ms	191×	body	80	nan
1.0ms	20×	body	160	valid
0.0ms	6×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.8b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

10.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
128.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

41.0ms

(+ (/ (pow eps 2) (pow 1.0 2)) eps)

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(+ (/ (pow eps 2) (pow 1.0 2)) eps)

simplify38.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	84	100
1	296	90
2	1150	88
3	5002	87

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.6b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.6b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.6b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

235.0ms	(* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
28.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
30.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
28.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series451.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
106.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
110.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
106.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify48.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	378	1564
1	1394	1485
2	5001	1304

prune316.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.6b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.6b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
13.5b	(log (exp (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

29.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
30.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
29.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
117.0ms	(log (exp (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
104.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
111.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
107.0ms	(log (exp (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))

simplify79.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	233	931
1	720	879
2	2804	791
3	5001	791

prune283.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes25.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3377×	body	1280	valid
538.0ms	2458×	body	640	valid
171.0ms	7986×	body	80	nan
165.0ms	1297×	body	320	valid
49.0ms	650×	body	160	valid
8.0ms	218×	body	80	valid