Details

Time bar (total: 3.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms317×body80valid

simplify185.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (67.0ms)

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

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 4.9b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

4.6b
(* (fma (- y 1.0) z 1.0) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
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:
4.0ms
(* (fma (- y 1.0) z 1.0) x)

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
094116
130198
2148294
3500294

prune63.0ms

Filtered
23 candidates to 16 candidates (69.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New16723
Fresh000
Picked011
Done000
Total16824

Merged error: 4.6b

Counts
24 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (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))
4.8b
(cbrt (fma (- y 1.0) z 1.0))
4.8b
(cbrt (fma (- y 1.0) z 1.0))
4.8b
(cbrt (fma (- y 1.0) z 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
10×add-cbrt-cube
cbrt-prod
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 63
Calls
4 calls:
10.0ms
(* (* (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))
2.0ms
(cbrt (fma (- y 1.0) z 1.0))

series414.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (* (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))
117.0ms
(cbrt (fma (- y 1.0) z 1.0))
117.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0270794
1864635
23690546
35002517

prune232.0ms

Filtered
75 candidates to 58 candidates (77.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New69675
Fresh156
Picked101
Done011
Total711283

Merged error: 4.6b

Counts
83 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x))
4.8b
(cbrt (fma (- y 1.0) z 1.0))
4.8b
(cbrt (fma (- y 1.0) z 1.0))
4.8b
(cbrt (fma (- y 1.0) z 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* add-cbrt-cube
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative
Counts
4 → 62
Calls
4 calls:
6.0ms
(* (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))
2.0ms
(cbrt (fma (- y 1.0) z 1.0))

series853.0ms

Counts
4 → 12
Calls
4 calls:
494.0ms
(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x))
120.0ms
(cbrt (fma (- y 1.0) z 1.0))
119.0ms
(cbrt (fma (- y 1.0) z 1.0))
119.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify126.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0332725
1992669
23871616
35001584

prune260.0ms

Filtered
74 candidates to 64 candidates (86.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh1910
Picked011
Done011
Total741286

Merged error: 4.6b

Counts
86 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

4.8b
(cbrt (fma (- y 1.0) z 1.0))
4.8b
(cbrt (fma (- y 1.0) z 1.0))
4.8b
(cbrt (fma (- y 1.0) z 1.0))
4.8b
(cbrt (fma (- y 1.0) z 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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))
2.0ms
(cbrt (fma (- y 1.0) z 1.0))

series483.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (fma (- y 1.0) z 1.0))
120.0ms
(cbrt (fma (- y 1.0) z 1.0))
119.0ms
(cbrt (fma (- y 1.0) z 1.0))
121.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0146552
1360520
21293476
35002448

prune272.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh099
Picked011
Done022
Total641276

Merged error: 4.6b

Counts
76 → 12

regimes151.0ms

Accuracy

0% (0.2b remaining)

Error of 3.6b against oracle of 3.5b and baseline of 3.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

end0.0ms

sample470.0ms

Algorithm
intervals
Results
248.0ms10135×body80valid

Profiling

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