Details

Time bar (total: 8.5s)

sample35.0ms

Algorithm
intervals
Results
10.0ms257×body80valid
8.0ms249×body80nan

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

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

localize13.0ms

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)

rewrite15.0ms

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:
7.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
1.0ms
(fma (log y) (+ y 0.5) z)
4.0ms
(- (fma (log y) (+ y 0.5) z) y)

series130.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
42.0ms
(fma (log y) (+ y 0.5) z)
44.0ms
(- (fma (log y) (+ y 0.5) z) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04041160
11496822
25003746

prune203.0ms

Pruning

7 alts after pruning (6 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)) (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))

rewrite14.0ms

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:
8.0ms
(* (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))

series1.8s

Counts
4 → 12
Calls
4 calls:
1.0s
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
265.0ms
(cbrt (fma (log y) (+ y 0.5) z))
254.0ms
(cbrt (fma (log y) (+ y 0.5) z))
309.0ms
(cbrt (fma (log y) (+ y 0.5) z))

simplify73.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06041568
128211497
250011446

prune379.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
7.0ms
(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))
2.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
2.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
2.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))

series1.6s

Counts
4 → 12
Calls
4 calls:
876.0ms
(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))
255.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
253.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
250.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))

simplify89.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06242100
128162015
250011927

prune546.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))
0.5b
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
0.9b
(pow (cbrt (cbrt (fma (log y) (+ y 0.5) z))) 4)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt (fma (log y) (+ y 0.5) z))
4.0ms
(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))
2.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
4.0ms
(pow (cbrt (cbrt (fma (log y) (+ y 0.5) z))) 4)

series1.8s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt (fma (log y) (+ y 0.5) z))
836.0ms
(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))
256.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
491.0ms
(pow (cbrt (cbrt (fma (log y) (+ y 0.5) z))) 4)

simplify89.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
09591480
142141407
250011404

prune420.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes123.0ms

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

sample861.0ms

Algorithm
intervals
Results
279.0ms8035×body80valid
230.0ms8372×body80nan
0.0ms2×body320valid
0.0ms1×body640valid