Details

Time bar (total: 4.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms343×body80valid

simplify180.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (65.0ms)

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

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- y 1.0) z 1.0)
2.4b
(* (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)

series99.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(fma (- y 1.0) z 1.0)
64.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0108166
1323137
21922133
35001133

prune104.0ms

Filtered
36 candidates to 26 candidates (72.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (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))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
10×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 63
Calls
4 calls:
18.0ms
(* (* (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))

series455.0ms

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))
130.0ms
(cbrt (fma (- y 1.0) z 1.0))
129.0ms
(cbrt (fma (- y 1.0) z 1.0))
129.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0270794
1864635
23690546
35002517

prune266.0ms

Filtered
75 candidates to 58 candidates (77.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.4b

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
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))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series749.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (fma (- y 1.0) z 1.0))
367.0ms
(cbrt (fma (- y 1.0) z 1.0))
129.0ms
(cbrt (fma (- y 1.0) z 1.0))
132.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0146552
1360520
21293476
35002448

prune319.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.4b

localize15.0ms

Local error

Found 4 expressions with local error:

2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
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))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series508.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(cbrt (fma (- y 1.0) z 1.0))
129.0ms
(cbrt (fma (- y 1.0) z 1.0))
130.0ms
(cbrt (fma (- y 1.0) z 1.0))
120.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0146552
1360520
21293476
35002448

prune327.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 2.4b

regimes141.0ms

Accuracy

0% (0.2b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample448.0ms

Algorithm
intervals
Results
239.0ms10053×body80valid