Details

Time bar (total: 3.8s)

sample21.0ms

Algorithm
intervals
Results
7.0ms347×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1204
2394
3474
4474

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ (* x y) z) y) t)
0.1b
(* (+ (* x y) z) y)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 31
Calls
2 calls:
17.0ms
(+ (* (+ (* x y) z) y) t)
26.0ms
(* (+ (* x y) z) y)

series91.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* (+ (* x y) z) y) t)
32.0ms
(* (+ (* x y) z) y)

simplify102.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0187206
1701185
24076182
35002182

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
0.9b
(- (* (* x y) (* x y)) (* z z))
8.5b
(* (- (* (* x y) (* x y)) (* z z)) y)
15.7b
(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
23×add-exp-log add-cbrt-cube
18×pow-prod-down
10×add-sqr-sqrt prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×associate-*l*
4×flip3-- associate-*r* associate-*l/ pow-sqr pow-prod-up flip--
3×times-frac associate-/r*
2×cbrt-undiv pow-plus div-exp associate-/r/ *-commutative associate-/l/ difference-of-squares
1×pow2 sub-neg frac-2neg diff-log swap-sqr clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
28.0ms
(* (* x y) (* x y))
29.0ms
(- (* (* x y) (* x y)) (* z z))
102.0ms
(* (- (* (* x y) (* x y)) (* z z)) y)
57.0ms
(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

series238.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* x y) (* x y))
62.0ms
(- (* (* x y) (* x y)) (* z z))
76.0ms
(* (- (* (* x y) (* x y)) (* z z)) y)
67.0ms
(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

simplify65.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0370731
12117610
25001610

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x (pow y 2)) (* z y)) t)
0.0b
(+ (* x (pow y 2)) (* z y))
10.1b
(* x (pow y 2))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×add-log-exp
8×add-exp-log *-un-lft-identity associate-*r*
6×add-cube-cbrt
5×add-cbrt-cube
4×unpow-prod-down sum-log unswap-sqr
3×pow1 associate-*l* prod-exp
2×+-commutative flip3-+ flip-+ unpow2 sqr-pow
1×pow-to-exp associate-+l+ pow-exp *-commutative cbrt-unprod distribute-lft-out
Counts
3 → 52
Calls
3 calls:
32.0ms
(+ (+ (* x (pow y 2)) (* z y)) t)
12.0ms
(+ (* x (pow y 2)) (* z y))
12.0ms
(* x (pow y 2))

series125.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (+ (* x (pow y 2)) (* z y)) t)
41.0ms
(+ (* x (pow y 2)) (* z y))
29.0ms
(* x (pow y 2))

simplify40.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0252316
11001293
25002287

prune143.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))
0.9b
(- (* (* x y) (* x y)) (* z z))
8.3b
(* (/ (- (* (* x y) (* x y)) (* z z)) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ y (cbrt (- (* x y) z))))
15.5b
(/ (- (* (* x y) (* x y)) (* z z)) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z))))

rewrite404.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
38×cbrt-div
33×times-frac
32×add-exp-log
30×associate-*r*
29×add-cube-cbrt *-un-lft-identity
27×cbrt-prod
22×associate-*l*
21×flip3-- add-cbrt-cube flip--
18×associate-/r/
13×pow1 frac-times
10×prod-exp cbrt-unprod unswap-sqr
9×cbrt-undiv div-exp
7×associate-*r/ associate-*l/
6×pow1/3 swap-sqr add-log-exp
4×associate-/l* difference-of-squares
3×pow-prod-down div-inv
2×pow-sqr *-commutative pow-prod-up associate-/l/
1×pow2 sub-neg frac-2neg pow-plus diff-log div-sub clear-num associate-/r*
Counts
4 → 165
Calls
4 calls:
54.0ms
(* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))
30.0ms
(- (* (* x y) (* x y)) (* z z))
218.0ms
(* (/ (- (* (* x y) (* x y)) (* z z)) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ y (cbrt (- (* x y) z))))
94.0ms
(/ (- (* (* x y) (* x y)) (* z z)) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))
58.0ms
(- (* (* x y) (* x y)) (* z z))
67.0ms
(* (/ (- (* (* x y) (* x y)) (* z z)) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ y (cbrt (- (* x y) z))))
227.0ms
(/ (- (* (* x y) (* x y)) (* z z)) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z))))

simplify142.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09042872
148922534
250012534

prune556.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample600.0ms

Algorithm
intervals
Results
249.0ms11276×body80valid