Details

Time bar (total: 2.7s)

sample32.0ms

Algorithm
intervals
Results
12.0ms330×body80valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1414
2584
3774
41114
51714
62934
75214
87074
97874
109644
119884
129884

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x y) z)
0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-sqr-sqrt
7×add-exp-log add-cbrt-cube add-log-exp
6×times-frac associate-/l* distribute-lft-out--
4×add-cube-cbrt
3×distribute-lft-out difference-of-squares
2×pow1 cbrt-undiv flip3-- diff-log div-exp flip-- associate-/l/
1×sub-neg frac-2neg div-sub prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 47
Calls
2 calls:
5.0ms
(- (+ x y) z)
9.0ms
(/ (- (+ x y) z) (* t 2.0))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- (+ x y) z)
11.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0235273
1843239
23900238
35001238

prune55.0ms

Filtered
53 candidates to 35 candidates (34.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh000
Picked011
Done000
Total51354

Merged error: 0.0b

Counts
54 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ y t) (/ x t))
0.0b
(- (+ (/ y t) (/ x t)) (/ z t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt
9×add-log-exp
8×distribute-lft-out
7×add-cube-cbrt
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ div-inv difference-of-squares
1×+-commutative sub-neg distribute-rgt-out flip3-- associate--l+ flip--
Counts
2 → 41
Calls
2 calls:
13.0ms
(+ (/ y t) (/ x t))
18.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (/ y t) (/ x t))
8.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

simplify52.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0220339
1671323
22370316
35002316

prune52.0ms

Filtered
47 candidates to 35 candidates (25.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New45247
Fresh101
Picked011
Done011
Total46450

Merged error: 0.0b

Counts
50 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
5.2b
(cbrt (+ (/ y t) (/ x t)))
5.2b
(cbrt (+ (/ y t) (/ x t)))
5.2b
(cbrt (+ (/ y t) (/ x t)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
64×cbrt-prod
42×times-frac
37×add-sqr-sqrt
33×cbrt-div
30×distribute-lft-out
29×add-cube-cbrt
14×div-inv
13×swap-sqr
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
9×frac-times pow1/3
7×distribute-rgt-out
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
29.0ms
(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
11.0ms
(cbrt (+ (/ y t) (/ x t)))
11.0ms
(cbrt (+ (/ y t) (/ x t)))
11.0ms
(cbrt (+ (/ y t) (/ x t)))

series130.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
29.0ms
(cbrt (+ (/ y t) (/ x t)))
32.0ms
(cbrt (+ (/ y t) (/ x t)))
29.0ms
(cbrt (+ (/ y t) (/ x t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04091560
112701495
250021366

prune155.0ms

Filtered
141 candidates to 101 candidates (28.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1401141
Fresh011
Picked011
Done022
Total1405145

Merged error: 0b

Counts
145 → 5

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (* (cbrt t) (cbrt t))))
1.1b
(cbrt (+ (/ y (cbrt t)) (/ x (cbrt t))))
1.1b
(cbrt (+ (/ y (cbrt t)) (/ x (cbrt t))))
5.2b
(cbrt (+ (/ y t) (/ x t)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
49×cbrt-prod
33×times-frac
19×add-sqr-sqrt add-cube-cbrt
18×distribute-lft-out
10×cbrt-div
7×div-inv
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×distribute-rgt-out flip3-+ frac-add flip-+
Counts
4 → 79
Calls
4 calls:
5.0ms
(cbrt (/ 1 (* (cbrt t) (cbrt t))))
37.0ms
(cbrt (+ (/ y (cbrt t)) (/ x (cbrt t))))
40.0ms
(cbrt (+ (/ y (cbrt t)) (/ x (cbrt t))))
19.0ms
(cbrt (+ (/ y t) (/ x t)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(cbrt (/ 1 (* (cbrt t) (cbrt t))))
75.0ms
(cbrt (+ (/ y (cbrt t)) (/ x (cbrt t))))
77.0ms
(cbrt (+ (/ y (cbrt t)) (/ x (cbrt t))))
29.0ms
(cbrt (+ (/ y t) (/ x t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0483982
11202929
25001876

prune190.0ms

Filtered
91 candidates to 78 candidates (14.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done033
Total91596

Merged error: 0b

Counts
96 → 5

regimes492.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample821.0ms

Algorithm
intervals
Results
333.0ms10866×body80valid

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