Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	58	4
2	178	4
3	351	4
4	401	4
5	401	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ e d) c)
0.2b	(+ (+ (+ (+ e d) c) b) a)
0.3b	(+ (+ (+ e d) c) b)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
31×	`add-log-exp`
29×	`distribute-lft-out`
19×	`sum-log`
15×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

3 → 72

Calls

3 calls:

6.0ms	(+ (+ e d) c)
13.0ms	(+ (+ (+ (+ e d) c) b) a)
9.0ms	(+ (+ (+ e d) c) b)

series273.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (+ e d) c)
229.0ms	(+ (+ (+ (+ e d) c) b) a)
29.0ms	(+ (+ (+ e d) c) b)

simplify30.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	249	295
1	1063	283
2	5002	283

prune180.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (+ e d) c)
0.2b	(+ (+ (+ e d) c) (+ b a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-log-exp`
22×	`distribute-lft-out`
18×	`sum-log`
9×	`fma-def`
6×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `frac-add`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
1×	`associate-+r+`

Counts

2 → 56

Calls

2 calls:

6.0ms	(+ (+ e d) c)
15.0ms	(+ (+ (+ e d) c) (+ b a))

series63.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ e d) c)
48.0ms	(+ (+ (+ e d) c) (+ b a))

simplify38.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	320	322
1	1566	306
2	5002	306

prune130.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ d (+ e c))
0.2b	(+ (+ (+ d (+ e c)) b) a)
0.3b	(+ (+ d (+ e c)) b)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
31×	`add-log-exp`
28×	`distribute-lft-out`
19×	`sum-log`
14×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate-+l+`
1×	`associate-+r+`

Counts

3 → 71

Calls

3 calls:

6.0ms	(+ d (+ e c))
14.0ms	(+ (+ (+ d (+ e c)) b) a)
8.0ms	(+ (+ d (+ e c)) b)

series97.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ d (+ e c))
53.0ms	(+ (+ (+ d (+ e c)) b) a)
28.0ms	(+ (+ d (+ e c)) b)

simplify35.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	254	295
1	942	283
2	5001	283

prune155.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (+ e d) c) b)
0.4b	(/ (+ (pow (+ (+ (+ e d) c) b) 3) (pow a 3)) (fma a (- a (+ (+ (+ e d) c) b)) (* (+ (+ (+ e d) c) b) (+ (+ (+ e d) c) b))))
0.5b	(* (+ (+ (+ e d) c) b) (+ (+ (+ e d) c) b))
0.7b	(pow (+ (+ (+ e d) c) b) 3)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

398×	`*-un-lft-identity`
245×	`distribute-lft-out`
70×	`unpow-prod-down` `cube-prod`
63×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
21×	`associate-/l*`
18×	`swap-sqr`
13×	`add-log-exp`
12×	`pow1`
9×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-r` `associate-l` `sum-log`
5×	`fma-def`
4×	`expm1-log1p-u` `frac-times` `sum-cubes` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r*`
2×	`cube-div` `associate-r/` `associate-l/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `distribute-rgt-in` `cube-mult` `pow-to-exp` `associate-+l+` `pow-pow` `frac-2neg` `distribute-lft-in` `pow-plus` `unpow3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 218

Calls

4 calls:

15.0ms	(+ (+ (+ e d) c) b)
42.0ms	(/ (+ (pow (+ (+ (+ e d) c) b) 3) (pow a 3)) (fma a (- a (+ (+ (+ e d) c) b)) (* (+ (+ (+ e d) c) b) (+ (+ (+ e d) c) b))))
22.0ms	(* (+ (+ (+ e d) c) b) (+ (+ (+ e d) c) b))
10.0ms	(pow (+ (+ (+ e d) c) b) 3)

series1.8s

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ (+ e d) c) b)
1.0s	(/ (+ (pow (+ (+ (+ e d) c) b) 3) (pow a 3)) (fma a (- a (+ (+ (+ e d) c) b)) (* (+ (+ (+ e d) c) b) (+ (+ (+ e d) c) b))))
141.0ms	(* (+ (+ (+ e d) c) b) (+ (+ (+ e d) c) b))
595.0ms	(pow (+ (+ (+ e d) c) b) 3)

simplify136.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	550	3896
1	3613	3658
2	5002	3656

prune407.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample580.0ms

Algorithm

intervals

Results

199.0ms	8000×	pre	80	true
169.0ms	8000×	body	80	valid