Details

Time bar (total: 8.6s)

sample31.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
7.0ms268×body80nan

simplify74.0ms

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

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)

series82.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (fma (log y) (+ y 0.5) z) y)
40.0ms
(fma (log y) (+ y 0.5) z)

simplify138.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0214366
1823278
24980260
35001260

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (fma (log y) (+ y 0.5) z))
0.4b
(cbrt (fma (log y) (+ y 0.5) z))
0.4b
(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)))

rewrite12.0ms

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))
1.0ms
(cbrt (fma (log y) (+ y 0.5) z))
8.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

series1.6s

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt (fma (log y) (+ y 0.5) z))
256.0ms
(cbrt (fma (log y) (+ y 0.5) z))
252.0ms
(cbrt (fma (log y) (+ y 0.5) z))
827.0ms
(* (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

prune361.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
24×add-sqr-sqrt
17×add-cube-cbrt
16×pow1 *-un-lft-identity
12×associate-*l*
11×add-exp-log pow1/3
7×swap-sqr associate-*r* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 94
Calls
4 calls:
16.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (* (cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))) (cbrt (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)))
1.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
3.0ms
(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))

series2.8s

Counts
4 → 12
Calls
4 calls:
832.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (* (cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))) (cbrt (cbrt (fma (log y) (+ y 0.5) z)))))
834.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
261.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
828.0ms
(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))

simplify113.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
09482557
145182427
250012423

prune518.0ms

Pruning

7 alts after pruning (5 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)))
0.5b
(cbrt (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)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
14×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 → 74
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
1.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
1.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
3.0ms
(pow (cbrt (cbrt (fma (log y) (+ y 0.5) z))) 4)

series1.3s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
253.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
260.0ms
(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
489.0ms
(pow (cbrt (cbrt (fma (log y) (+ y 0.5) z))) 4)

simplify54.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04751369
118791324
250021290

prune424.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes128.0ms

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

sample825.0ms

Algorithm
intervals
Results
276.0ms8036×body80valid
217.0ms7898×body80nan