Details

Time bar (total: 1.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms394×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1324
2574
3634
4634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))
0.2b
(* (* y 4.0) z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip--
Counts
2 → 30
Calls
2 calls:
2.0ms
(- (* x x) (* (* y 4.0) z))
6.0ms
(* (* y 4.0) z)

series62.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x x) (* (* y 4.0) z))
17.0ms
(* (* y 4.0) z)

simplify133.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0173170
1788150
24578150
35001150

prune56.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x x) (* y (* 4.0 z)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(- (* x x) (* y (* 4.0 z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
098103
144793
2219493
3500193

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y (* 4.0 z)))
0.3b
(* (* y (* 4.0 z)) (* y (* 4.0 z)))
2.1b
(+ (- (* (* y (* 4.0 z)) (* y (* 4.0 z)))) (pow x 4))
25.6b
(/ (+ (- (* (* y (* 4.0 z)) (* y (* 4.0 z)))) (pow x 4)) (+ (* x x) (* y (* 4.0 z))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
118×pow1
66×pow-prod-down
42×add-exp-log add-cbrt-cube
27×prod-exp cbrt-unprod
23×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
10×add-log-exp
9×pow-sqr pow-prod-up
5×distribute-lft-out
4×flip3-+ flip-+ associate-/l*
3×pow-plus associate-/r* sum-log
2×+-commutative neg-sub0 associate-+l- associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg div-sub swap-sqr div-exp associate-*r* associate-*l* neg-log clear-num *-commutative div-inv
Counts
4 → 121
Calls
4 calls:
3.0ms
(+ (* x x) (* y (* 4.0 z)))
30.0ms
(* (* y (* 4.0 z)) (* y (* 4.0 z)))
9.0ms
(+ (- (* (* y (* 4.0 z)) (* y (* 4.0 z)))) (pow x 4))
24.0ms
(/ (+ (- (* (* y (* 4.0 z)) (* y (* 4.0 z)))) (pow x 4)) (+ (* x x) (* y (* 4.0 z))))

series281.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* x x) (* y (* 4.0 z)))
33.0ms
(* (* y (* 4.0 z)) (* y (* 4.0 z)))
112.0ms
(+ (- (* (* y (* 4.0 z)) (* y (* 4.0 z)))) (pow x 4))
95.0ms
(/ (+ (- (* (* y (* 4.0 z)) (* y (* 4.0 z)))) (pow x 4)) (+ (* x x) (* y (* 4.0 z))))

simplify92.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
04581287
125861072
250011048

prune202.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample522.0ms

Algorithm
intervals
Results
287.0ms12232×body80valid