Details

Time bar (total: 5.2s)

sample68.0ms

Algorithm
intervals
Results
29.0ms428×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0267
1487
2817
3987
4987

prune4.0ms

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

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
6.0ms
(+ (* x y) (* z t))
5.0ms
(+ (+ (* x y) (* z t)) (* a b))

series92.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* x y) (* z t))
60.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify80.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0187190
1747179
22644177
35001177

prune90.0ms

Filtered
30 candidates to 24 candidates (80.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done000
Total27431

Merged error: 0.0b

Counts
31 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.8b
(cbrt (+ (* x y) (* z t)))
1.8b
(cbrt (+ (* x y) (* z t)))
1.8b
(cbrt (+ (* x y) (* z t)))

rewrite22.0ms

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:
10.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
96.0ms
(cbrt (+ (* x y) (* z t)))
97.0ms
(cbrt (+ (* x y) (* z t)))
99.0ms
(cbrt (+ (* x y) (* z t)))

simplify88.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
03141055
11035988
23734912
35002903

prune375.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh112
Picked101
Done011
Total1003103

Merged error: 0.0b

Counts
103 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

2.4b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
11.1b
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
25.2b
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
25.2b
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
6.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
24.0ms
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
6.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
6.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
154.0ms
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
106.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
111.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify63.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04651844
117611514
250021464

prune450.0ms

Filtered
90 candidates to 74 candidates (82.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh011
Picked011
Done011
Total90393

Merged error: 0.0b

Counts
93 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.3b
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.3b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite31.0ms

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-+ add-log-exp
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down sum-log pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+l+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
5.0ms
(+ (+ (* x y) (* z t)) (* a b))
13.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))

series918.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ (+ (* x y) (* z t)) (* a b))
50.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
409.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
404.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))

simplify48.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
02921141
112891043
250011013

prune279.0ms

Filtered
112 candidates to 66 candidates (58.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done022
Total1123115

Merged error: 0.0b

Counts
115 → 3

regimes398.0ms

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
0227
1227

end0.0ms

sample1.2s

Algorithm
intervals
Results
574.0ms13847×body80valid