Details

Time bar (total: 3.2s)

sample21.0ms

Algorithm
intervals
Results
10.0ms301×body80valid

simplify175.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (63.0ms)

IterNodesCost
0144
1344
2924
32324
44914
57854
611154
714824
822183
933493
1048193
1150013

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt associate-*l*
6×pow1 add-exp-log associate-*r* prod-diff add-cbrt-cube
5×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
10.0ms
(* (- 1.0 y) z)
9.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 y) z)
56.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0244345
11005301
25001292

prune138.0ms

Filtered
62 candidates to 39 candidates (62.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.7b
(* (* x z) (- y 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
29×add-sqr-sqrt *-un-lft-identity
27×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×sub-neg add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*r/ log1p-expm1-u
1×+-commutative flip3-- fma-def flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 82
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
19.0ms
(* (* x z) (- y 1.0))

series125.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
52.0ms
(* (* x z) (- y 1.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0448736
11854512
25001506

prune188.0ms

Filtered
88 candidates to 48 candidates (54.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.7b
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 59
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

series804.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(cbrt y)
202.0ms
(cbrt y)
209.0ms
(cbrt y)
182.0ms
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

simplify99.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0157389
1555314
22730284
35002250

prune310.0ms

Filtered
71 candidates to 59 candidates (83.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y 1.0))
0.0b
(fma x 1.0 (* (* x (- y 1.0)) z))
2.9b
(* (* x (- y 1.0)) z)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
10×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×sub-neg flip3-- associate-*l/ *-commutative flip--
1×fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 78
Calls
3 calls:
17.0ms
(* x (- y 1.0))
0.0ms
(fma x 1.0 (* (* x (- y 1.0)) z))
14.0ms
(* (* x (- y 1.0)) z)

series144.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* x (- y 1.0))
64.0ms
(fma x 1.0 (* (* x (- y 1.0)) z))
46.0ms
(* (* x (- y 1.0)) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0298555
11290376
25002370

prune212.0ms

Filtered
87 candidates to 48 candidates (55.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample445.0ms

Algorithm
intervals
Results
243.0ms10131×body80valid