Details

Time bar (total: 12.4s)

sample46.0ms

Algorithm
intervals
Results
28.0ms398×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1255
2275
3275

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
2.0ms
(+ (* x y) (* z t))
12.0ms
(+ (+ (* x y) (* z t)) (* a b))

series88.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* x y) (* z t))
56.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify80.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0187190
1747179
22644177
35001177

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
1.0b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
1.0b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
1.0b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
60.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
7.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series694.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
116.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
262.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
119.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify114.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
03091413
110831317
244131198
350021187

prune293.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.3b
(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
39.9b
(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ sum-log flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp associate-+l+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 72
Calls
4 calls:
2.0ms
(+ (* x y) (* z t))
13.0ms
(+ (+ (* x y) (* z t)) (* a b))
16.0ms
(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
14.0ms
(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

series3.8s

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x y) (* z t))
58.0ms
(+ (+ (* x y) (* z t)) (* a b))
3.6s
(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
53.0ms
(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

simplify56.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0342709
11648670
25001662

prune185.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
0.7b
(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
3.1b
(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
41.5b
(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
7×flip3-+ flip-+
6×pow1 distribute-rgt-in associate-+l+ distribute-lft-in
5×sum-cubes distribute-lft-out associate-/l*
4×frac-times sub-neg associate--l+
3×flip3-- associate-*r* associate-*l* associate-/r* flip--
2×+-commutative associate-*r/ associate-*l/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 101
Calls
4 calls:
19.0ms
(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
39.0ms
(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
30.0ms
(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
97.0ms
(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

series4.6s

Counts
4 → 12
Calls
4 calls:
684.0ms
(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
218.0ms
(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
3.2s
(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
410.0ms
(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

simplify115.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
06202309
133152141
250012136

prune398.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes287.0ms

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
0165
1165

end0.0ms

sample1.2s

Algorithm
intervals
Results
760.0ms12017×body80valid