Details

Time bar (total: 3.3s)

sample23.0ms

Algorithm
intervals
Results
12.0ms330×body80valid

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (47.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- y 1.0) z 1.0)
3.4b
(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma (- y 1.0) z 1.0)
3.0ms
(* (fma (- y 1.0) z 1.0) x)

series83.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(fma (- y 1.0) z 1.0)
50.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0108166
1323137
21922133
35001133

prune82.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (cbrt (fma (- y 1.0) z 1.0))) x)
3.6b
(cbrt (fma (- y 1.0) z 1.0))
3.6b
(cbrt (fma (- y 1.0) z 1.0))
3.6b
(cbrt (fma (- y 1.0) z 1.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 62
Calls
4 calls:
49.0ms
(* (* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (cbrt (fma (- y 1.0) z 1.0))) x)
0.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series364.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (cbrt (fma (- y 1.0) z 1.0))) x)
101.0ms
(cbrt (fma (- y 1.0) z 1.0))
103.0ms
(cbrt (fma (- y 1.0) z 1.0))
106.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0273779
1963634
24839536
35001527

prune219.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(fma (* x z) (- y 1.0) (* 1.0 x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

simplify116.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
04880
112565
249162
3319761
4500161

prune36.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* x z) (- y 1.0) (* 1.0 x))) (cbrt (fma (* x z) (- y 1.0) (* 1.0 x))))
0.6b
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
0.6b
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
0.6b
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (* x z) (- y 1.0) (* 1.0 x))) (cbrt (fma (* x z) (- y 1.0) (* 1.0 x))))
0.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
1.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
1.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))

series952.0ms

Counts
4 → 12
Calls
4 calls:
422.0ms
(* (cbrt (fma (* x z) (- y 1.0) (* 1.0 x))) (cbrt (fma (* x z) (- y 1.0) (* 1.0 x))))
177.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
177.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
175.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03461275
111841180
250011081

prune267.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample595.0ms

Algorithm
intervals
Results
390.0ms10174×body80valid