Details

Time bar (total: 10.2s)

sample42.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
10.0ms258×body80nan

simplify73.0ms

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

rewrite4.0ms

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

series81.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (fma (log y) (+ y 0.5) z) y)
39.0ms
(fma (log y) (+ y 0.5) z)

simplify143.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0214366
1823278
24980260
35001260

prune121.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite9.0ms

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:
5.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
0.0ms
(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))

series1.6s

Counts
4 → 12
Calls
4 calls:
822.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
257.0ms
(cbrt (fma (log y) (+ y 0.5) z))
259.0ms
(cbrt (fma (log y) (+ y 0.5) z))
264.0ms
(cbrt (fma (log y) (+ y 0.5) z))

simplify70.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06041568
128211497
250011446

prune369.0ms

Pruning

9 alts after pruning (7 fresh and 2 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)) (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))

rewrite9.0ms

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:
5.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (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))
1.0ms
(cbrt (fma (log y) (+ y 0.5) z))

series1.6s

Counts
4 → 12
Calls
4 calls:
838.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
252.0ms
(cbrt (fma (log y) (+ y 0.5) z))
258.0ms
(cbrt (fma (log y) (+ y 0.5) z))
263.0ms
(cbrt (fma (log y) (+ y 0.5) z))

simplify71.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06041568
128211497
250011446

prune358.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite28.0ms

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:
19.0ms
(* (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))

series3.7s

Counts
4 → 12
Calls
4 calls:
2.8s
(* (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))
302.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
289.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify119.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09532708
146532609
250012606

prune486.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

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

sample1.2s

Algorithm
intervals
Results
499.0ms8044×body80valid
336.0ms8327×body80nan
0.0ms1×body640valid