Details

Time bar (total: 3.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify52.0ms

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

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: 0.0b

Counts
2 → 1

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

series40.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma (- 1.0 x) y (* x z))

simplify57.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03565
17452
231452
3171852
4500152

prune27.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New11213
Fresh000
Picked011
Done000
Total11314

Merged error: 0.0b

Counts
14 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (fma (- 1.0 x) y (* x z)))
0.0b
(fma (- 1.0 x) y (* x z))
1.9b
(expm1 (log1p (fma (- 1.0 x) y (* x z))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×expm1-log1p-u
3×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
1×log1p-udef expm1-log1p log1p-expm1 fma-udef expm1-udef
Counts
3 → 32
Calls
3 calls:
1.0ms
(log1p (fma (- 1.0 x) y (* x z)))
1.0ms
(fma (- 1.0 x) y (* x z))
1.0ms
(expm1 (log1p (fma (- 1.0 x) y (* x z))))

series278.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(log1p (fma (- 1.0 x) y (* x z)))
35.0ms
(fma (- 1.0 x) y (* x z))
143.0ms
(expm1 (log1p (fma (- 1.0 x) y (* x z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0198278
1566244
22538233
35003223

prune96.0ms

Filtered
41 candidates to 31 candidates (75.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done011
Total41344

Merged error: 0.0b

Counts
44 → 3

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))))

rewrite16.0ms

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:
1.0ms
(fma (- 1.0 x) y (* x z))
2.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
2.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
8.0ms
(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

series455.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (- 1.0 x) y (* x z))
185.0ms
(sqrt (fma (- 1.0 x) y (* x z)))
187.0ms
(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))))

simplify170.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0200616
1683524
23877498
35001498

prune174.0ms

Filtered
103 candidates to 59 candidates (57.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh000
Picked101
Done112
Total1042106

Merged error: 0.0b

Counts
106 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fabs (cbrt (fma (- 1.0 x) y (* x z)))) (sqrt (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)))) (sqrt (cbrt (fma (- 1.0 x) y (* x z)))))
0.6b
(cbrt (fma (- 1.0 x) y (* x z)))
0.6b
(cbrt (fma (- 1.0 x) y (* x z)))

rewrite20.0ms

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:
8.0ms
(* (fabs (cbrt (fma (- 1.0 x) y (* x z)))) (sqrt (fma (- 1.0 x) y (* x z))))
8.0ms
(* (* (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)))))
1.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
1.0ms
(cbrt (fma (- 1.0 x) y (* x z)))

series925.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (fabs (cbrt (fma (- 1.0 x) y (* x z)))) (sqrt (fma (- 1.0 x) y (* x z))))
355.0ms
(* (* (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)))))
195.0ms
(cbrt (fma (- 1.0 x) y (* x z)))
184.0ms
(cbrt (fma (- 1.0 x) y (* x z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05321399
120791272
250021222

prune303.0ms

Filtered
88 candidates to 68 candidates (77.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done011
Total88290

Merged error: 0.0b

Counts
90 → 2

regimes48.0ms

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

sample536.0ms

Algorithm
intervals
Results
308.0ms10125×body80valid