Details

Time bar (total: 10.2s)

sample33.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
8.0ms275×body80nan

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
0216
1636
22126
37255
418825
532315
645745
750015

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
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)

rewrite5.0ms

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)

series85.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (fma (log y) (+ y 0.5) z) y)
42.0ms
(fma (log y) (+ y 0.5) z)

simplify143.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0214366
1823278
24980260
35001260

prune115.0ms

Filtered
45 candidates to 31 candidates (68.9%)
Pruning

6 alts after pruning (5 fresh and 1 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))
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)) (cbrt (fma (log y) (+ y 0.5) z)))

rewrite10.0ms

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:
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))
6.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

series1.8s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt (fma (log y) (+ y 0.5) z))
262.0ms
(cbrt (fma (log y) (+ y 0.5) z))
255.0ms
(cbrt (fma (log y) (+ y 0.5) z))
1.0s
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06041568
128291497
250021446

prune400.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
11×add-exp-log
10×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-cbrt-cube
5×prod-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down cbrt-unprod
1×1-exp swap-sqr associate-*l* *-commutative
Counts
4 → 64
Calls
4 calls:
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))
18.0ms
(* (* 1 (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (fma (log y) (+ y 0.5) z)))

series1.7s

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt (fma (log y) (+ y 0.5) z))
255.0ms
(cbrt (fma (log y) (+ y 0.5) z))
257.0ms
(cbrt (fma (log y) (+ y 0.5) z))
914.0ms
(* (* 1 (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (fma (log y) (+ y 0.5) z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06351408
128271317
250011291

prune339.0ms

Filtered
76 candidates to 62 candidates (81.6%)
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))

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:
25.0ms
(* (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:
2.7s
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
292.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
292.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
298.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify117.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09532708
146532609
250012606

prune517.0ms

Filtered
121 candidates to 96 candidates (79.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes121.0ms

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

sample879.0ms

Algorithm
intervals
Results
286.0ms8033×body80valid
231.0ms8130×body80nan