Details

Time bar (total: 3.7s)

sample20.0ms

Algorithm
intervals
Results
11.0ms313×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1243
2403
3663
4863
5973
61183
71593
82443
94423
106263
116913
127383
137653
147653

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(fma x y (* (- x 1.0) z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 34
Calls
2 calls:
9.0ms
(* (- x 1.0) z)
0.0ms
(fma x y (* (- x 1.0) z))

series62.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- x 1.0) z)
31.0ms
(fma x y (* (- x 1.0) z))

simplify49.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0133158
1462135
22228135
35001135

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z))))
0.6b
(cbrt (fma x y (* (- x 1.0) z)))
0.6b
(cbrt (fma x y (* (- x 1.0) z)))
0.6b
(cbrt (fma x y (* (- x 1.0) z)))

rewrite8.0ms

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 x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z))))
0.0ms
(cbrt (fma x y (* (- x 1.0) z)))
0.0ms
(cbrt (fma x y (* (- x 1.0) z)))
1.0ms
(cbrt (fma x y (* (- x 1.0) z)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z))))
155.0ms
(cbrt (fma x y (* (- x 1.0) z)))
148.0ms
(cbrt (fma x y (* (- x 1.0) z)))
153.0ms
(cbrt (fma x y (* (- x 1.0) z)))

simplify115.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0246872
1785805
23708713
35001681

prune228.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma x y (* (- x 1.0) z)))
0.6b
(cbrt (* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z)))))
0.6b
(cbrt (* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z)))))
0.6b
(cbrt (* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z)))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
0.0ms
(cbrt (fma x y (* (- x 1.0) z)))
2.0ms
(cbrt (* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z)))))
2.0ms
(cbrt (* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z)))))
3.0ms
(cbrt (* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z)))))

series784.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (fma x y (* (- x 1.0) z)))
209.0ms
(cbrt (* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z)))))
206.0ms
(cbrt (* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z)))))
209.0ms
(cbrt (* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0207675
1493597
21690551
35002528

prune195.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
0.0b
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
1.7b
(* (- (pow x 3) (pow 1.0 3)) z)
16.4b
(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×associate-*l*
18×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube
9×add-log-exp
8×add-cube-cbrt sqr-pow
6×pow1
5×distribute-lft-out--
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×times-frac associate-*r* associate-/r* sum-log
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×difference-cubes +-commutative associate-+r+ fma-def frac-2neg pow-prod-down clear-num *-commutative fma-udef div-inv associate-/l* unswap-sqr
Counts
4 → 97
Calls
4 calls:
0.0ms
(fma x y (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
9.0ms
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
56.0ms
(* (- (pow x 3) (pow 1.0 3)) z)
39.0ms
(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(fma x y (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
19.0ms
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
38.0ms
(* (- (pow x 3) (pow 1.0 3)) z)
81.0ms
(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0466919
12219798
25001774

prune333.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

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
083
183

end0.0ms

sample595.0ms

Algorithm
intervals
Results
387.0ms10215×body80valid