Details

Time bar (total: 9.8s)

sample37.0ms

Algorithm
intervals
Results
16.0ms257×body80valid
7.0ms193×body80nan

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
0216
1636
22126
37255
418825
532315
645745
750015

prune5.0ms

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) y)
0.2b
(fma (log y) (+ y 0.5) z)

rewrite16.0ms

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:
10.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
3.0ms
(- (fma (log y) (+ y 0.5) z) y)
0.0ms
(fma (log y) (+ y 0.5) z)

series130.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
42.0ms
(- (fma (log y) (+ y 0.5) z) y)
41.0ms
(fma (log y) (+ y 0.5) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04041160
11496822
25003746

prune215.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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))

rewrite32.0ms

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))
2.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

series3.5s

Counts
4 → 12
Calls
4 calls:
2.6s
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
291.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
285.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
287.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify121.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
09532708
146532609
250012606

prune507.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(cbrt (fma (log y) (+ y 0.5) z))
60.2b
(fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(cbrt (fma (log y) (+ y 0.5) z))
0.0ms
(cbrt (fma (log y) (+ y 0.5) z))
0.0ms
(cbrt (fma (log y) (+ y 0.5) z))
0.0ms
(fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))

series881.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt (fma (log y) (+ y 0.5) z))
260.0ms
(cbrt (fma (log y) (+ y 0.5) z))
253.0ms
(cbrt (fma (log y) (+ y 0.5) z))
108.0ms
(fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0314896
11208838
25002807

prune374.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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 (- (fma (log y) (+ y 0.5) z) y))
0.6b
(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
22×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
8×unpow-prod-down cbrt-div cube-prod
5×pow1 add-exp-log distribute-lft-out-- difference-of-squares
4×expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-div pow-pow
1×cube-mult pow-to-exp unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 89
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))
2.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
5.0ms
(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

series2.0s

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
298.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
299.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
1.1s
(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

simplify69.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05311498
123501435
250021427

prune387.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
13625
23625

end0.0ms

sample1.1s

Algorithm
intervals
Results
505.0ms8040×body80valid
304.0ms7760×body80nan