Details

Time bar (total: 13.0s)

sample45.0ms

Algorithm
intervals
Results
17.0ms263×body80valid
12.0ms248×body80nan

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
0216
1636
22126
37255
418825
532315
645745
750015

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b
(fma (log y) (+ y 0.5) z)
0.1b
(- (fma (log y) (+ y 0.5) z) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
35×add-sqr-sqrt
33×prod-diff
25×add-cube-cbrt
12×associate--r+
10×add-log-exp
7×distribute-lft-out--
6×fma-neg
5×difference-of-squares
4×diff-log
3×pow1 add-exp-log expm1-log1p-u sub-neg add-cbrt-cube fma-udef log1p-expm1-u
2×flip3-- associate--l+ flip--
1×associate--r-
Counts
3 → 88
Calls
3 calls:
14.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
0.0ms
(fma (log y) (+ y 0.5) z)
4.0ms
(- (fma (log y) (+ y 0.5) z) y)

series144.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
45.0ms
(fma (log y) (+ y 0.5) z)
49.0ms
(- (fma (log y) (+ y 0.5) z) y)

simplify63.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04041160
11496822
25003746

prune239.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b
(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
23.0ms
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
2.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

series3.8s

Counts
4 → 12
Calls
4 calls:
2.9s
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
331.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
325.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
321.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify130.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
09532708
146532609
250012606

prune498.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b
(cbrt (* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y))))
0.5b
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
24×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×flip3-- flip--
8×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*r/ associate-*l/
Counts
4 → 73
Calls
4 calls:
2.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
7.0ms
(cbrt (* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y))))
3.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

series3.8s

Counts
4 → 12
Calls
4 calls:
334.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
324.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.8s
(cbrt (* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y))))
304.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011232353
150012279

prune521.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
20×add-sqr-sqrt *-un-lft-identity
16×cbrt-div
12×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 80
Calls
4 calls:
3.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
3.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
3.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
3.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
326.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
336.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
328.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
330.0ms
(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03521760
113561692
250011588

prune722.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample1.3s

Algorithm
intervals
Results
530.0ms8034×body80valid
380.0ms7730×body80nan
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms2×body160valid