Details

Time bar (total: 3.4s)

analyze658.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14

sample38.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
07339
17339

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
5.5b
(* (/ x y) (- z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 sub-neg add-log-exp
distribute-rgt-in frac-times associate-+l+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
8.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series23.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* (/ x y) (- z t)) t)
12.0ms
(* (/ x y) (- z t))

simplify42.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04963583
14963583

prune86.0ms

Filtered
43 candidates to 59 candidates (-37.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New53659
Fresh011
Picked011
Done000
Total53861

Merged error: 0.0b

Counts
61 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (- z t) (/ (cbrt x) (cbrt y))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
pow1 cbrt-prod frac-times
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r/
associate-*l* associate-*l/
flip3-- flip-- add-log-exp
pow1/3 pow-prod-down
times-frac associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (- z t) (/ (cbrt x) (cbrt y))))

series86.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt x)
21.0ms
(cbrt x)
24.0ms
(cbrt x)
13.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (- z t) (/ (cbrt x) (cbrt y))))

simplify57.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04951779
14951779

prune90.0ms

Filtered
57 candidates to 102 candidates (-78.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh066
Picked011
Done011
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.9b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.7b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
associate-*r* pow-prod-down
cbrt-undiv div-exp add-log-exp
distribute-lft-out-- difference-of-squares
pow1/3 *-commutative unswap-sqr
div-inv
Counts
4 → 164
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
21.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
15.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
13.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
31.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify58.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
053223383

prune164.0ms

Filtered
105 candidates to 176 candidates (-67.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1760176
Fresh055
Picked011
Done022
Total1768184

Merged error: 0.0b

Counts
184 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

5.5b
(* (/ x y) (- z t))
7.7b
(cbrt (* (/ x y) (- z t)))
7.7b
(cbrt (* (/ x y) (- z t)))
7.7b
(cbrt (* (/ x y) (- z t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×cbrt-div
14×*-un-lft-identity
13×associate-*l*
12×add-cube-cbrt
10×times-frac
add-exp-log add-cbrt-cube
frac-times flip3-- associate-*r/ flip--
pow1
associate-*r*
associate-*l/ add-log-exp
cbrt-prod pow1/3
sub-neg prod-exp cbrt-unprod unswap-sqr
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 82
Calls
4 calls:
9.0ms
(* (/ x y) (- z t))
6.0ms
(cbrt (* (/ x y) (- z t)))
6.0ms
(cbrt (* (/ x y) (- z t)))
6.0ms
(cbrt (* (/ x y) (- z t)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (/ x y) (- z t))
32.0ms
(cbrt (* (/ x y) (- z t)))
33.0ms
(cbrt (* (/ x y) (- z t)))
33.0ms
(cbrt (* (/ x y) (- z t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04978958
14978958

prune100.0ms

Filtered
79 candidates to 94 candidates (-19.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done033
Total948102

Merged error: 0.0b

Counts
102 → 8

regimes510.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02723
12723

end0.0ms

sample1.0s

Algorithm
intervals
Results
205.0ms8000×body80valid

Profiling

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