Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms329×body80valid

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (47.0ms)

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

prune5.0ms

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: 2.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- y 1.0) z 1.0)
2.2b
(* (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:
1.0ms
(fma (- y 1.0) z 1.0)
4.0ms
(* (fma (- y 1.0) z 1.0) x)

series77.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(fma (- y 1.0) z 1.0)
51.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0108166
1323137
21922133
35001133

prune78.0ms

Filtered
36 candidates to 26 candidates (72.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New28836
Fresh000
Picked011
Done000
Total28937

Merged error: 2.2b

Counts
37 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (* (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)
2.5b
(cbrt (fma (- y 1.0) z 1.0))
2.5b
(cbrt (fma (- y 1.0) z 1.0))
2.5b
(cbrt (fma (- y 1.0) z 1.0))

rewrite19.0ms

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:
11.0ms
(* (* (* (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)
4.0ms
(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))

series330.0ms

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)
93.0ms
(cbrt (fma (- y 1.0) z 1.0))
93.0ms
(cbrt (fma (- y 1.0) z 1.0))
95.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify117.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0273779
1963634
24839536
35001527

prune205.0ms

Filtered
74 candidates to 60 candidates (81.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New72274
Fresh257
Picked011
Done011
Total74983

Merged error: 0.0b

Counts
83 → 9

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b
(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:
1.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

simplify109.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
04880
112565
249162
3319761
4500161

prune52.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New13013
Fresh066
Picked011
Done022
Total13922

Merged error: 0.0b

Counts
22 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (fma (- y 1.0) z 1.0) x))
2.2b
(* (fma (- y 1.0) z 1.0) x)
2.2b
(* (fma (- y 1.0) z 1.0) x)
2.2b
(* (fma (- y 1.0) z 1.0) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-prod pow1/3
Counts
4 → 71
Calls
4 calls:
2.0ms
(cbrt (* (fma (- y 1.0) z 1.0) x))
3.0ms
(* (fma (- y 1.0) z 1.0) x)
3.0ms
(* (fma (- y 1.0) z 1.0) x)
3.0ms
(* (fma (- y 1.0) z 1.0) x)

series287.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (* (fma (- y 1.0) z 1.0) x))
52.0ms
(* (fma (- y 1.0) z 1.0) x)
46.0ms
(* (fma (- y 1.0) z 1.0) x)
50.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify88.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0253513
1760449
23535425
35001423

prune188.0ms

Filtered
83 candidates to 61 candidates (73.5%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh055
Picked011
Done033
Total83992

Merged error: 0.0b

Counts
92 → 9

regimes111.0ms

Accuracy

89.9% (0.2b remaining)

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

bsearch63.0ms

Steps
ItersRangePoint
5
9.360874425402282e+57
3.350609967376076e+58
9.541653393586833e+57
9
-4.6316805219668175e+37
-8.569341738352717e+29
-8.555482721730925e+33

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample499.0ms

Algorithm
intervals
Results
290.0ms10143×body80valid

Profiling

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