Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms311×body80valid

simplify152.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (52.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
3.0ms
(* (fma (- y 1.0) z 1.0) x)

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
094116
130198
2148294
3500294

prune60.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.4b

localize10.0ms

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))
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))

rewrite20.0ms

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:
17.0ms
(* (* (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))

series433.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* (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))
126.0ms
(cbrt (fma (- y 1.0) z 1.0))
122.0ms
(cbrt (fma (- y 1.0) z 1.0))
123.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0270794
1864635
23690546
35002517

prune233.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 4 expressions with local error:

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))
3.6b
(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))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series483.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (fma (- y 1.0) z 1.0))
128.0ms
(cbrt (fma (- y 1.0) z 1.0))
120.0ms
(cbrt (fma (- y 1.0) z 1.0))
114.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0146552
1360520
21293476
35002448

prune293.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.4b

localize22.0ms

Local error

Found 4 expressions with local error:

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))
3.6b
(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))

series456.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (fma (- y 1.0) z 1.0))
115.0ms
(cbrt (fma (- y 1.0) z 1.0))
110.0ms
(cbrt (fma (- y 1.0) z 1.0))
119.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0146552
1360520
21293476
35002448

prune335.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.4b

regimes131.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample453.0ms

Algorithm
intervals
Results
250.0ms10177×body80valid