Details

Time bar (total: 2.5s)

sample21.0ms

Algorithm
intervals
Results
11.0ms315×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 10 (58.0ms)

IterNodesCost
0114
1204
2364
3584
4784
51014
61384
72254
85104
916824
1050013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (- 1 y) (/ x z) y)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- 1 y) (/ x z) y)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(fma (- 1 y) (/ x z) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03866
18259
225653
3131353
4500153

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
0.5b
(cbrt (fma (- 1 y) (/ x z) y))
0.5b
(cbrt (fma (- 1 y) (/ x z) y))
0.5b
(cbrt (fma (- 1 y) (/ x z) y))

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:
5.0ms
(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
0.0ms
(cbrt (fma (- 1 y) (/ x z) y))
0.0ms
(cbrt (fma (- 1 y) (/ x z) y))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))

series500.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
116.0ms
(cbrt (fma (- 1 y) (/ x z) y))
113.0ms
(cbrt (fma (- 1 y) (/ x z) y))
117.0ms
(cbrt (fma (- 1 y) (/ x z) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03141139
111121069
250011008

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
9.0b
(/ (+ x (* y (- z x))) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 77
Calls
2 calls:
14.0ms
(* y (- z x))
8.0ms
(/ (+ x (* y (- z x))) z)

series80.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- z x))
43.0ms
(/ (+ x (* y (- z x))) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0315606
11345446
25002435

prune127.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
4.9b
(/ (* x y) z)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
30×add-sqr-sqrt
28×add-cube-cbrt prod-diff
24×times-frac
13×fma-def
10×distribute-lft-out add-log-exp
8×add-exp-log add-cbrt-cube
6×div-inv
4×fma-neg
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* difference-of-squares
Counts
3 → 103
Calls
3 calls:
11.0ms
(+ (/ x z) y)
77.0ms
(- (+ (/ x z) y) (/ (* x y) z))
3.0ms
(/ (* x y) z)

series68.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (/ x z) y)
27.0ms
(- (+ (/ x z) y) (/ (* x y) z))
19.0ms
(/ (* x y) z)

simplify89.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
03931008
11703734
25003732

prune280.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes66.0ms

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

sample575.0ms

Algorithm
intervals
Results
370.0ms10242×body80valid