Details

Time bar (total: 3.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x y) (* z t))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (* x y) (* z t))

simplify114.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
1.8b
(* (* z t) (- (* z t) (* x y)))
2.2b
(+ (pow (* x y) 3) (pow (* z t) 3))
36.9b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ flip-+
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
9.0ms
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
7.0ms
(* (* z t) (- (* z t) (* x y)))
7.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
16.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series464.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
57.0ms
(* (* z t) (- (* z t) (* x y)))
189.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
130.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify107.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
04371484
125621357
250011352

prune267.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

10.8b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))
25.0b
(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
25.0b
(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
25.9b
(/ (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
456×times-frac
316×*-un-lft-identity
240×sqrt-prod
220×add-sqr-sqrt
218×add-cube-cbrt
49×sum-cubes distribute-lft-out
41×associate-/l*
22×sqrt-div
18×associate-/r/
12×flip3-+ associate-/r* flip-+
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 362
Calls
4 calls:
22.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))
8.0ms
(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
8.0ms
(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
32.0ms
(/ (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))

series536.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))
111.0ms
(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
112.0ms
(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
133.0ms
(/ (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))

simplify196.0ms

Algorithm
egg-herbie
Counts
374 → 374
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
090715435
1389414175
2500114132

prune764.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes120.0ms

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
0103
1103

end0.0ms

sample491.0ms

Algorithm
intervals
Results
228.0ms10475×body80valid