Details

Time bar (total: 4.7s)

sample30.0ms

Algorithm
intervals
Results
14.0ms385×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1255
2275
3275

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
5.0ms
(+ (+ (* x y) (* z t)) (* a b))

series56.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify57.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0119123
1433112
21900110
35002110

prune31.0ms

Filtered
16 candidates to 12 candidates (75.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New15116
Fresh000
Picked011
Done000
Total15217

Merged error: 0.0b

Counts
17 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:
13.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series552.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
122.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
119.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
118.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify114.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
03091413
110831317
244131198
350021184

prune270.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh000
Picked011
Done011
Total974101

Merged error: 0.0b

Counts
101 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b
(cbrt (- (+ (* x y) (* z t)) (* a b)))
4.2b
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
31.8b
(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip--
2×associate--l+ difference-of-squares
1×distribute-rgt-in sub-neg distribute-lft-in flip3-+ diff-log flip-+
Counts
4 → 55
Calls
4 calls:
5.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
10.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
10.0ms
(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

series897.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
126.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
464.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
189.0ms
(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

simplify48.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0365939
11296851
25002828

prune289.0ms

Filtered
67 candidates to 61 candidates (91.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh011
Picked011
Done022
Total67471

Merged error: 0.0b

Counts
71 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.5b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
2.3b
(pow (+ (+ (* x y) (* z t)) (* a b)) 1/3)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt cbrt-div *-un-lft-identity
12×pow1
8×flip3-+ pow1/3 flip-+
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 92
Calls
4 calls:
14.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
6.0ms
(pow (+ (+ (* x y) (* z t)) (* a b)) 1/3)

series555.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
116.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
116.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
128.0ms
(pow (+ (+ (* x y) (* z t)) (* a b)) 1/3)

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03591352
115101085
250011020

prune299.0ms

Filtered
104 candidates to 78 candidates (75.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done033
Total1044108

Merged error: 0.0b

Counts
108 → 4

regimes471.0ms

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

sample815.0ms

Algorithm
intervals
Results
431.0ms11933×body80valid

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