Details

Time bar (total: 3.3s)

sample29.0ms

Algorithm
intervals
Results
18.0ms311×body80valid

simplify171.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (62.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- y 1.0) z 1.0)
2.0b
(* (fma (- y 1.0) z 1.0) x)

rewrite5.0ms

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)
4.0ms
(* (fma (- y 1.0) z 1.0) x)

series84.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(fma (- y 1.0) z 1.0)
55.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0108166
1323137
21922133
35001133

prune101.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (* (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)
2.2b
(cbrt (fma (- y 1.0) z 1.0))
2.2b
(cbrt (fma (- y 1.0) z 1.0))
2.2b
(cbrt (fma (- y 1.0) z 1.0))

rewrite59.0ms

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:
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)
1.0ms
(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))

series407.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (* (* (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)
116.0ms
(cbrt (fma (- y 1.0) z 1.0))
113.0ms
(cbrt (fma (- y 1.0) z 1.0))
113.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify124.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0273779
1963634
24839536
35001527

prune268.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

2.2b
(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))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

simplify158.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
04880
112565
249162
3319761
4500161

prune44.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
2.2b
(fma (* x z) (- y 1.0) (* 1.0 x))
2.2b
(fma (* x z) (- y 1.0) (* 1.0 x))
2.2b
(fma (* x z) (- y 1.0) (* 1.0 x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
1.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))
0.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))
1.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

series383.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
55.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))
62.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))
61.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

simplify74.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0201450
1558392
22167374
35001338

prune210.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

44.3% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.4b

bsearch53.0ms

Steps
ItersRangePoint
8
11262338022376588.0
7.819954899721762e+19
35608010353305148.0

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0167
1167

end0.0ms

sample815.0ms

Algorithm
intervals
Results
596.0ms10044×body80valid