Details

Time bar (total: 9.8s)

sample34.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
7.0ms257×body80nan

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt prod-diff
4×add-log-exp
3×fma-neg
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (log y) (+ y 0.5) z)
7.0ms
(- (fma (log y) (+ y 0.5) z) y)

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(fma (log y) (+ y 0.5) z)
44.0ms
(- (fma (log y) (+ y 0.5) z) y)

simplify139.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0214366
1823278
24981260
35001236

prune104.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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:
13.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
1.0ms
(cbrt (fma (log y) (+ y 0.5) z))
1.0ms
(cbrt (fma (log y) (+ y 0.5) z))
1.0ms
(cbrt (fma (log y) (+ y 0.5) z))

series1.5s

Counts
4 → 12
Calls
4 calls:
783.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
236.0ms
(cbrt (fma (log y) (+ y 0.5) z))
237.0ms
(cbrt (fma (log y) (+ y 0.5) z))
242.0ms
(cbrt (fma (log y) (+ y 0.5) z))

simplify78.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06041568
128211497
250011446

prune332.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite53.0ms

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:
38.0ms
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
4.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
4.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
4.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

series3.3s

Counts
4 → 12
Calls
4 calls:
2.4s
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
273.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
263.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
266.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify110.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09532708
146532609
250012606

prune480.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))
0.7b
(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

rewrite23.0ms

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:
4.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
4.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
4.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
10.0ms
(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

series1.9s

Counts
4 → 12
Calls
4 calls:
382.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
275.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
282.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
1.0s
(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

simplify65.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05311498
123501435
250021427

prune377.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes134.0ms

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

sample907.0ms

Algorithm
intervals
Results
271.0ms8042×body80valid
201.0ms7836×body80nan
1.0ms3×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid