Details

Time bar (total: 2.8s)

sample27.0ms

Algorithm
intervals
Results
17.0ms325×body80valid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (44.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- y 1.0) z 1.0)
3.7b
(* (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)

series74.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(fma (- y 1.0) z 1.0)
48.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0108166
1323137
21922133
35001133

prune81.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* (* (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)
3.8b
(cbrt (fma (- y 1.0) z 1.0))
3.8b
(cbrt (fma (- y 1.0) z 1.0))
3.8b
(cbrt (fma (- y 1.0) z 1.0))

rewrite48.0ms

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:
45.0ms
(* (* (* (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))
0.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series334.0ms

Counts
4 → 12
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)
95.0ms
(cbrt (fma (- y 1.0) z 1.0))
96.0ms
(cbrt (fma (- y 1.0) z 1.0))
93.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0273779
1963634
24839536
35001527

prune219.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

1.2b
(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))

series52.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

simplify117.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
04880
112565
249162
3319761
4500161

prune44.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
1.2b
(fma (* x z) (- y 1.0) (* 1.0 x))
1.2b
(fma (* x z) (- y 1.0) (* 1.0 x))
1.2b
(fma (* x z) (- y 1.0) (* 1.0 x))

rewrite2.0ms

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:
0.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
0.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))
0.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))
0.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

series327.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (fma (* x z) (- y 1.0) (* 1.0 x)))
53.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))
48.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))
54.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

simplify63.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0201450
1558392
22167374
35001338

prune183.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

90.7% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch87.0ms

Steps
ItersRangePoint
7
6.627279278262904e-56
2.388651929375621e-54
5.0005021215030856e-55
10
-3.924107841054209e-18
-4.259653178229191e-31
-1.384752484126883e-18

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample672.0ms

Algorithm
intervals
Results
468.0ms10107×body80valid