Details

Time bar (total: 4.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms325×body80valid

simplify53.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

simplify61.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
03565
17452
231452
3171852
4500152

prune48.0ms

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

rewrite19.0ms

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)))
13.0ms
(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

series640.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (- 1.0 x) y (* x z))
172.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
174.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
259.0ms
(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

simplify177.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0200616
1683524
23877498
35001498

prune360.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- 1.0 x) y (* x z))
0.2b
(pow (fma (- 1.0 x) y (* x z)) 3)
38.4b
(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

rewrite7.0ms

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))
3.0ms
(pow (fma (- 1.0 x) y (* x z)) 3)
3.0ms
(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

series192.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma (- 1.0 x) y (* x z))
118.0ms
(pow (fma (- 1.0 x) y (* x z)) 3)
39.0ms
(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

simplify50.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0197404
1816369
25001362

prune189.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (- 1.0 x) y (* x z)))
0.2b
(* (sqrt (fma (- 1.0 x) y (* x z))) (cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
0.2b
(pow (sqrt (fma (- 1.0 x) y (* x z))) 3)
8.1b
(cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
48×cbrt-prod
35×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
22×unpow-prod-down cube-prod
21×associate-*r*
14×unswap-sqr
9×pow1
7×add-exp-log
6×associate-*l* add-cbrt-cube
5×sqr-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cube-mult pow-unpow pow-pow unpow3
2×sqrt-pow1 pow1/2
1×pow-to-exp rem-sqrt-square pow1/3 pow-prod-down pow-exp prod-exp *-commutative sqrt-pow2 rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 132
Calls
4 calls:
2.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
29.0ms
(* (sqrt (fma (- 1.0 x) y (* x z))) (cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
4.0ms
(pow (sqrt (fma (- 1.0 x) y (* x z))) 3)
4.0ms
(cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))

series1.0s

Counts
4 → 12
Calls
4 calls:
181.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
37.0ms
(* (sqrt (fma (- 1.0 x) y (* x z))) (cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
612.0ms
(pow (sqrt (fma (- 1.0 x) y (* x z))) 3)
178.0ms
(cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))

simplify73.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
03531269
11443971
25001887

prune497.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes86.0ms

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

sample485.0ms

Algorithm
intervals
Results
269.0ms10173×body80valid