Details

Time bar (total: 8.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms327×body80valid

simplify60.0ms

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

prune9.0ms

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

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma (- 1.0 x) y (* x z))

simplify65.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
03565
17452
231452
3171852
4500152

prune35.0ms

Pruning

2 alts after pruning (1 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))
0.1b
(sqrt (fma (- 1.0 x) y (* x z)))
0.1b
(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))))

series480.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma (- 1.0 x) y (* x z))
198.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
195.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
41.0ms
(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

simplify192.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0200616
1683524
23877498
35001498

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (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)))
0.6b
(* (cbrt (fma (- 1.0 x) y (* x z))) (cbrt (fma (- 1.0 x) y (* x z))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
1.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
1.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
7.0ms
(* (cbrt (fma (- 1.0 x) y (* x z))) (cbrt (fma (- 1.0 x) y (* x z))))

series999.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
241.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
239.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
278.0ms
(* (cbrt (fma (- 1.0 x) y (* x z))) (cbrt (fma (- 1.0 x) y (* x z))))

simplify159.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
03111076
19851006
24472920
35001900

prune411.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0 x) y (* x z))
0.1b
(sqrt (fma (- 1.0 x) y (* x z)))
0.3b
(pow (sqrt (fma (- 1.0 x) y (* x z))) 4)
14.6b
(pow (pow (sqrt (fma (- 1.0 x) y (* x z))) 4) (/ 1 2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×unpow-prod-down
19×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×pow-unpow
9×times-frac sqrt-prod
7×pow1 add-exp-log
5×pow-exp
4×expm1-log1p-u pow-pow add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp sqr-pow
2×sqrt-pow1 pow1/2
1×rem-sqrt-square sqrt-pow2 fma-udef div-inv
Counts
4 → 88
Calls
4 calls:
0.0ms
(fma (- 1.0 x) y (* x z))
1.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
2.0ms
(pow (sqrt (fma (- 1.0 x) y (* x z))) 4)
5.0ms
(pow (pow (sqrt (fma (- 1.0 x) y (* x z))) 4) (/ 1 2))

series5.0s

Counts
4 → 12
Calls
4 calls:
54.0ms
(fma (- 1.0 x) y (* x z))
219.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
910.0ms
(pow (sqrt (fma (- 1.0 x) y (* x z))) 4)
3.8s
(pow (pow (sqrt (fma (- 1.0 x) y (* x z))) 4) (/ 1 2))

simplify80.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0446739
11737609
25001570

prune319.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample717.0ms

Algorithm
intervals
Results
499.0ms10073×body80valid