Details

Time bar (total: 2.0s)

sample27.0ms

Algorithm
intervals
Results
18.0ms330×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 10 (57.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03866
18259
225653
3131353
4500153

prune28.0ms

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
(* y (- z x))
0.0b
(+ x (* y (- z x)))
10.2b
(/ (+ x (* y (- z x))) z)

rewrite29.0ms

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
times-frac
add-exp-log add-cbrt-cube
pow1 associate-*r* add-log-exp
sub-neg
expm1-log1p-u fma-def associate-*l* associate-/r* log1p-expm1-u associate-/l*
flip3-+ associate-*r/ flip-+ associate-/l/
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:
11.0ms
(* y (- z x))
5.0ms
(+ x (* y (- z x)))
8.0ms
(/ (+ x (* y (- z x))) z)

series107.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* y (- z x))
28.0ms
(+ x (* y (- z x)))
45.0ms
(/ (+ x (* y (- z x))) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0379842
11526592
25002585

prune205.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

5.2b
(- (* z z) (* x x))
7.7b
(* y (- (* z z) (* x x)))
10.2b
(/ (+ x (/ (* y (- (* z z) (* x x))) (+ z x))) z)
15.9b
(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
19×add-sqr-sqrt
17×add-cube-cbrt
16×times-frac
13×add-exp-log add-cbrt-cube
associate-/r*
pow1 distribute-lft-out add-log-exp
associate-/l*
expm1-log1p-u associate-*r/ associate-*r* log1p-expm1-u associate-/l/
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp associate-*l* prod-diff flip--
frac-2neg flip3-+ prod-exp clear-num associate-/r/ cbrt-unprod flip-+ div-inv difference-of-squares
fma-neg diff-log pow-prod-down *-commutative unswap-sqr
Counts
4 → 110
Calls
4 calls:
3.0ms
(- (* z z) (* x x))
13.0ms
(* y (- (* z z) (* x x)))
31.0ms
(/ (+ x (/ (* y (- (* z z) (* x x))) (+ z x))) z)
11.0ms
(/ (* y (- (* z z) (* x x))) (+ z x))

series258.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* z z) (* x x))
85.0ms
(* y (- (* z z) (* x x)))
69.0ms
(/ (+ x (/ (* y (- (* z z) (* x x))) (+ z x))) z)
68.0ms
(/ (* y (- (* z z) (* x x))) (+ z x))

simplify62.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04551001
12190893
25001883

prune254.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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

sample694.0ms

Algorithm
intervals
Results
487.0ms10100×body80valid