Details

Time bar (total: 3.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms322×body80valid

simplify136.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (43.0ms)

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: 3.8b

localize9.0ms

Local error

Found 2 expressions with local error:

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

series75.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(fma (- y 1.0) z 1.0)
49.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0108166
1323137
21922133
35001133

prune82.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
3.9b
(cbrt (fma (- y 1.0) z 1.0))
3.9b
(cbrt (fma (- y 1.0) z 1.0))
3.9b
(cbrt (fma (- y 1.0) z 1.0))

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:
5.0ms
(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
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))

series403.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
96.0ms
(cbrt (fma (- y 1.0) z 1.0))
102.0ms
(cbrt (fma (- y 1.0) z 1.0))
98.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify119.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0288847
1934788
24339703
35001678

prune262.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize15.0ms

Local error

Found 4 expressions with local error:

3.9b
(cbrt (fma (- y 1.0) z 1.0))
3.9b
(cbrt (fma (- y 1.0) z 1.0))
3.9b
(cbrt (fma (- y 1.0) z 1.0))
3.9b
(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:
0.0ms
(cbrt (fma (- y 1.0) z 1.0))
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))

series400.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (fma (- y 1.0) z 1.0))
99.0ms
(cbrt (fma (- y 1.0) z 1.0))
98.0ms
(cbrt (fma (- y 1.0) z 1.0))
97.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0146552
1360520
21293476
35002448

prune278.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.7b

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b
(cbrt (fma (- y 1.0) z 1.0))
3.9b
(cbrt (fma (- y 1.0) z 1.0))
3.9b
(cbrt (fma (- y 1.0) z 1.0))
3.9b
(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:
0.0ms
(cbrt (fma (- y 1.0) z 1.0))
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))

series397.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (fma (- y 1.0) z 1.0))
98.0ms
(cbrt (fma (- y 1.0) z 1.0))
98.0ms
(cbrt (fma (- y 1.0) z 1.0))
102.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0146552
1360520
21293476
35002448

prune343.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.7b

regimes145.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample431.0ms

Algorithm
intervals
Results
231.0ms10140×body80valid