Details

Time bar (total: 2.8s)

sample23.0ms

Algorithm
intervals
Results
12.0ms331×body80valid

simplify151.0ms

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

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: 3.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- y 1.0) z 1.0)
3.1b
(* (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)
3.0ms
(* (fma (- y 1.0) z 1.0) x)

series87.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(fma (- y 1.0) z 1.0)
52.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0108166
1323137
21922133
35001133

prune90.0ms

Filtered
36 candidates to 26 candidates (72.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New29736
Fresh000
Picked011
Done000
Total29837

Merged error: 3.2b

Counts
37 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (* (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)
3.4b
(cbrt (fma (- y 1.0) z 1.0))
3.4b
(cbrt (fma (- y 1.0) z 1.0))
3.4b
(cbrt (fma (- y 1.0) z 1.0))

rewrite17.0ms

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)
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))

series397.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (* (* (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)
111.0ms
(cbrt (fma (- y 1.0) z 1.0))
115.0ms
(cbrt (fma (- y 1.0) z 1.0))
114.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify118.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0273779
1963634
24839536
35001527

prune215.0ms

Filtered
74 candidates to 59 candidates (79.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh336
Picked101
Done011
Total77582

Merged error: 0.0b

Counts
82 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

2.0b
(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))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(fma (* x z) (- y 1.0) (* 1.0 x))

simplify121.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
04880
112565
249162
3319761
4500161

prune39.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh033
Picked011
Done011
Total13518

Merged error: 0.0b

Counts
18 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* (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))
3.4b
(cbrt (fma (- y 1.0) z 1.0))
3.4b
(cbrt (fma (- y 1.0) z 1.0))
3.4b
(cbrt (fma (- y 1.0) z 1.0))

rewrite14.0ms

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:
9.0ms
(* (* (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))

series408.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* (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))
117.0ms
(cbrt (fma (- y 1.0) z 1.0))
118.0ms
(cbrt (fma (- y 1.0) z 1.0))
109.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0270794
1864635
23690546
35002517

prune195.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New74175
Fresh022
Picked101
Done022
Total75580

Merged error: 0.0b

Counts
80 → 5

regimes94.0ms

Accuracy

84.3% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch74.0ms

Steps
ItersRangePoint
3
1.066455763805205e-113
1.4520499541721532e-113
1.4133896637179433e-113
11
-1.971746604603823e-16
-1.8762599644922694e-41
-1.0430726878723873e-22

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample497.0ms

Algorithm
intervals
Results
287.0ms10136×body80valid

Profiling

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