Details

Time bar (total: 4.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms293×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0133
1313
2623
3773
4773

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (* y 4.0) z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
3.0ms
(- x (* (* y 4.0) z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(- x (* (* y 4.0) z))

simplify76.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0108129
1450112
22653111
3500194

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

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:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series751.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (cbrt x) (cbrt x))
182.0ms
(cbrt x)
182.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001256

prune238.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.0b
(fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x))))
2.9b
(- (pow x 3) (pow (* (* y 4.0) z) 3))
3.9b
(* y (* (* 4.0 z) (fma y (* 4.0 z) x)))
38.9b
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
96×prod-diff
72×*-un-lft-identity
62×add-cube-cbrt
51×sqr-pow
49×unpow-prod-down cube-prod
40×difference-of-squares
39×times-frac
21×cube-mult unpow3
15×add-exp-log add-cbrt-cube
13×pow1 associate-/l*
12×fma-neg
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
5×difference-cubes fma-udef distribute-lft-out--
4×distribute-rgt-in expm1-log1p-u distribute-lft-in log1p-expm1-u
3×associate-*l* associate-/r*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp associate-*r* clear-num *-commutative div-inv
Counts
4 → 241
Calls
4 calls:
0.0ms
(fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x))))
17.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
18.0ms
(* y (* (* 4.0 z) (fma y (* 4.0 z) x)))
45.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))

series438.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x))))
188.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
46.0ms
(* y (* (* 4.0 z) (fma y (* 4.0 z) x)))
123.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))

simplify198.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
08093749
138853169
250013160

prune535.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

29.8b
(/ (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))) (* (* (cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x))))) (cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))) 1))
29.8b
(cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))
29.8b
(cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))
29.8b
(cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×prod-exp
5×div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac pow1/3 cbrt-unprod associate-/l*
2×1-exp
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 66
Calls
4 calls:
12.0ms
(/ (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))) (* (* (cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x))))) (cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))) 1))
0.0ms
(cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))
0.0ms
(cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))
1.0ms
(cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))

series616.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(/ (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))) (* (* (cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x))))) (cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))) 1))
150.0ms
(cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))
154.0ms
(cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))
157.0ms
(cbrt (fma x x (* y (* (* 4.0 z) (fma y (* 4.0 z) x)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
02521260
112161031
25001742

prune280.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample366.0ms

Algorithm
intervals
Results
181.0ms9125×body80valid