Details

Time bar (total: 1.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 10 (69.0ms)

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)

simplify50.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
03866
18259
225653
3131353
4500153

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
11.6b
(/ (+ x (* y (- z x))) z)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
38×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×sub-neg
3×expm1-log1p-u fma-def associate-*l* associate-/r* log1p-expm1-u associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 115
Calls
3 calls:
10.0ms
(+ x (* y (- z x)))
24.0ms
(* y (- z x))
23.0ms
(/ (+ x (* y (- z x))) z)

series107.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ x (* y (- z x)))
37.0ms
(* y (- z x))
42.0ms
(/ (+ x (* y (- z x))) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0379842
11526592
25002585

prune230.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
0.1b
(* (* y (sqrt (- z x))) (sqrt (- z x)))
0.1b
(* y (sqrt (- z x)))
5.0b
(/ (+ x (* (* y (sqrt (- z x))) (sqrt (- z x)))) z)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt
16×associate-*r*
14×sqrt-div
13×add-exp-log add-cbrt-cube
11×pow1 sqrt-prod
10×associate-*r/
9×times-frac
7×flip3-- flip--
6×add-log-exp
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def associate-/r* associate-/l*
2×flip3-+ associate-*l/ *-commutative flip-+ associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 108
Calls
4 calls:
6.0ms
(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
50.0ms
(* (* y (sqrt (- z x))) (sqrt (- z x)))
21.0ms
(* y (sqrt (- z x)))
25.0ms
(/ (+ x (* (* y (sqrt (- z x))) (sqrt (- z x)))) z)

series199.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
36.0ms
(* (* y (sqrt (- z x))) (sqrt (- z x)))
92.0ms
(* y (sqrt (- z x)))
43.0ms
(/ (+ x (* (* y (sqrt (- z x))) (sqrt (- z x)))) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04601022
11977812
25003775

prune267.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

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

sample495.0ms

Algorithm
intervals
Results
225.0ms10123×body80valid