Details

Time bar (total: 3.8s)

sample33.0ms

Algorithm
intervals
Results
23.0ms330×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1243
2403
3643
4843
51023
61283
71773
82723
95083
107363
117543
127563
137563

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

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

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma (- 1.0 x) y (* x z))

simplify55.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03565
17452
231452
3171852
4500152

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0 x) y (* x z))
0.0b
(sqrt (fma (- 1.0 x) y (* x z)))
0.0b
(sqrt (fma (- 1.0 x) y (* x z)))
0.3b
(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (- 1.0 x) y (* x z))
1.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
1.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
7.0ms
(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

series428.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma (- 1.0 x) y (* x z))
169.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
178.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
40.0ms
(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

simplify161.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0200616
1683524
23877498
35001498

prune203.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs (cbrt (fma (- 1.0 x) y (* x z)))) (sqrt (fma (- 1.0 x) y (* x z)))) (sqrt (cbrt (fma (- 1.0 x) y (* x z)))))
0.2b
(* (fabs (cbrt (fma (- 1.0 x) y (* x z)))) (sqrt (fma (- 1.0 x) y (* x z))))
0.5b
(cbrt (fma (- 1.0 x) y (* x z)))
0.5b
(cbrt (fma (- 1.0 x) y (* x z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×sqrt-prod
9×cbrt-prod
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 76
Calls
4 calls:
15.0ms
(* (* (fabs (cbrt (fma (- 1.0 x) y (* x z)))) (sqrt (fma (- 1.0 x) y (* x z)))) (sqrt (cbrt (fma (- 1.0 x) y (* x z)))))
4.0ms
(* (fabs (cbrt (fma (- 1.0 x) y (* x z)))) (sqrt (fma (- 1.0 x) y (* x z))))
0.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
1.0ms
(cbrt (fma (- 1.0 x) y (* x z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (* (fabs (cbrt (fma (- 1.0 x) y (* x z)))) (sqrt (fma (- 1.0 x) y (* x z)))) (sqrt (cbrt (fma (- 1.0 x) y (* x z)))))
176.0ms
(* (fabs (cbrt (fma (- 1.0 x) y (* x z)))) (sqrt (fma (- 1.0 x) y (* x z))))
177.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
398.0ms
(cbrt (fma (- 1.0 x) y (* x z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05321399
120791272
250011222

prune309.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- 1.0 x) y (* x z))
0.1b
(pow (fma (- 1.0 x) y (* x z)) 3)
40.8b
(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
4×pow1 add-exp-log add-cbrt-cube
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cube-mult unpow3 sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube fma-udef rem-cube-cbrt
Counts
3 → 58
Calls
3 calls:
0.0ms
(fma (- 1.0 x) y (* x z))
1.0ms
(pow (fma (- 1.0 x) y (* x z)) 3)
1.0ms
(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

series186.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (- 1.0 x) y (* x z))
112.0ms
(pow (fma (- 1.0 x) y (* x z)) 3)
35.0ms
(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0197404
1816369
25001362

prune125.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample840.0ms

Algorithm
intervals
Results
627.0ms10131×body80valid