Details

Time bar (total: 2.5s)

sample22.0ms

Algorithm
intervals
Results
10.0ms403×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1324
2574
3634
4634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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))

series47.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(- (* x x) (* (* y 4.0) z))

simplify66.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
099103
140093
2185693
3500293

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))
1.4b
(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
28.0b
(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite41.0ms

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:
4.0ms
(+ (* x x) (* (* y 4.0) z))
10.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
10.0ms
(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
12.0ms
(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x x) (* (* y 4.0) z))
35.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
103.0ms
(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
96.0ms
(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
04591287
124491076
250021052

prune203.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.7b
(+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))
6.7b
(* (* x x) (* (* y 4.0) z))
28.3b
(* (/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) z) (* (* y 4.0) z)) (* (* x x) (* (* y 4.0) z)))))
39.3b
(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
41×times-frac
32×add-exp-log add-cbrt-cube
31×add-sqr-sqrt
27×pow1 associate-*l*
26×add-cube-cbrt
21×distribute-lft-out
17×prod-exp cbrt-unprod
16×pow-prod-down
10×sum-cubes
6×flip3-+ flip-+ add-log-exp
5×associate-/r*
4×associate-*r* associate-/r/ associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp *-commutative div-inv associate-/l/ unswap-sqr
1×+-commutative neg-sub0 distribute-rgt-in associate-+l- frac-2neg distribute-lft-in div-sub associate-*l/ clear-num sum-log
Counts
4 → 138
Calls
4 calls:
7.0ms
(+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))
11.0ms
(* (* x x) (* (* y 4.0) z))
32.0ms
(* (/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) z) (* (* y 4.0) z)) (* (* x x) (* (* y 4.0) z)))))
15.0ms
(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))
27.0ms
(* (* x x) (* (* y 4.0) z))
195.0ms
(* (/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) z) (* (* y 4.0) z)) (* (* x x) (* (* y 4.0) z)))))
62.0ms
(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3)))

simplify147.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07773224
144292881
250022881

prune455.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes102.0ms

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
0104
1104

end0.0ms

sample536.0ms

Algorithm
intervals
Results
299.0ms12152×body80valid