Details

Time bar (total: 4.9s)

sample30.0ms

Algorithm
intervals
Results
9.0ms378×body80valid

simplify6.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
27.0ms
(+ (+ (* x y) (* z t)) (* a b))
7.0ms
(+ (* x y) (* z t))

series79.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (+ (* x y) (* z t)) (* a b))
33.0ms
(+ (* x y) (* z t))

simplify77.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0187190
1747179
22644177
35001177

prune77.0ms

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))))
0.6b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite175.0ms

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:
126.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
17.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
15.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
15.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
115.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
112.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
112.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify117.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
03091413
110831317
244131198
350021187

prune284.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (* z t) 3)
2.2b
(* (* z t) (- (* z t) (* x y)))
2.4b
(+ (pow (* x y) 3) (pow (* z t) 3))
33.8b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
14×add-exp-log add-cbrt-cube
12×pow1
6×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×pow-prod-down prod-exp cbrt-unprod
3×pow-unpow flip3-+ associate-*r* associate-/r* flip-+
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in associate-*r/ pow-exp associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv +-commutative cube-mult pow-to-exp unpow-prod-down flip3-- frac-2neg unpow3 cube-prod div-exp associate-*l* clear-num sum-log *-commutative flip-- div-inv sqr-pow
Counts
4 → 98
Calls
4 calls:
5.0ms
(pow (* z t) 3)
32.0ms
(* (* z t) (- (* z t) (* x y)))
12.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
75.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series399.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(pow (* z t) 3)
55.0ms
(* (* z t) (- (* z t) (* x y)))
183.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
122.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify111.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
04261317
125261211
250021206

prune326.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.0b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.2b
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
7.0ms
(+ (* x y) (* z t))
27.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
27.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
131.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series873.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x y) (* z t))
399.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
391.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
51.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify55.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03381113
115141003
25001973

prune244.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes278.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165
1165

end0.0ms

sample863.0ms

Algorithm
intervals
Results
323.0ms11803×body80valid