Details

Time bar (total: 2.7s)

analyze641.0ms

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
0%99.8%0.2%8
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.1%74.7%0.2%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms80×body80invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

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 1 expressions with local error:

5.6b
(* (- y x) (/ z t))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*l*
3×pow1
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 38
Calls
1 calls:
9.0ms
(* (- y x) (/ z t))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(* (- y x) (/ z t))

simplify48.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05891376

prune62.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New36541
Fresh011
Picked011
Done000
Total36743

Merged error: 0b

Counts
43 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
9×pow1 cbrt-prod
8×add-cube-cbrt prod-exp cbrt-unprod
5×associate-*l*
4×associate-*r/ add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ flip--
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
12.0ms
(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
21.0ms
(cbrt t)
20.0ms
(cbrt t)
44.0ms
(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04948663
14948663

prune83.0ms

Filtered
51 candidates to 74 candidates (-45.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh055
Picked011
Done011
Total74781

Merged error: 0b

Counts
81 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.6b
(* (cbrt (- y x)) (cbrt (- y x)))
2.1b
(* (/ z t) (cbrt (- y x)))
3.7b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ z t) (cbrt (- y x))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
126×cbrt-div
88×frac-times
63×flip3-- flip--
52×add-sqr-sqrt
40×cbrt-prod *-un-lft-identity
39×associate-*r/
32×add-exp-log associate-*l/
25×pow1
22×add-cube-cbrt associate-*l*
18×add-cbrt-cube
17×associate-*r*
16×prod-exp cbrt-unprod
11×times-frac pow-prod-down
10×swap-sqr
8×distribute-lft-out-- unswap-sqr
7×pow1/3
6×difference-of-squares
4×add-log-exp
3×cbrt-undiv div-exp *-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 193
Calls
4 calls:
3.0ms
(cbrt (- y x))
10.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
9.0ms
(* (/ z t) (cbrt (- y x)))
21.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ z t) (cbrt (- y x))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- y x))
33.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
25.0ms
(* (/ z t) (cbrt (- y x)))
12.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ z t) (cbrt (- y x))))

simplify63.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
054213422

prune174.0ms

Filtered
120 candidates to 205 candidates (-70.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2050205
Fresh044
Picked011
Done022
Total2057212

Merged error: 0b

Counts
212 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
6.8b
(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down associate-*l/
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×frac-times flip3-- flip--
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

series80.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt z)
23.0ms
(cbrt z)
20.0ms
(cbrt z)
16.0ms
(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05330762

prune65.0ms

Filtered
58 candidates to 96 candidates (-65.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done033
Total967103

Merged error: 0b

Counts
103 → 7

regimes332.0ms

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
02823
12823

end0.0ms

sample576.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid
71.0ms2096×body80invalid

Profiling

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