Details

Time bar (total: 4.4s)

sample22.0ms

Algorithm
intervals
Results
10.0ms340×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1121284
1233854
1350024

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: 7.8b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.7b
(/ (* y (- z x)) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
9.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(/ (* y (- z x)) t)

series121.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* y (- z x))
35.0ms
(+ x (/ (* y (- z x)) t))
46.0ms
(/ (* y (- z x)) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune115.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65570
Fresh000
Picked011
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
7.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
20.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series805.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt t)
171.0ms
(cbrt t)
368.0ms
(cbrt t)
92.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune258.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh044
Picked011
Done011
Total1148122

Merged error: 0.0b

Counts
122 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.5b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
9×pow1
6×times-frac
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
20.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))

series594.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
183.0ms
(cbrt y)
173.0ms
(cbrt y)
56.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))

simplify61.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04481138
12011828
25002701

prune195.0ms

Filtered
103 candidates to 60 candidates (58.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh055
Picked011
Done022
Total1038111

Merged error: 0.0b

Counts
111 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt t))
0.5b
(cbrt (cbrt t))
0.5b
(cbrt (cbrt t))
7.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
38×add-cbrt-cube
27×cbrt-prod
25×prod-exp cbrt-unprod
20×add-sqr-sqrt
17×cbrt-undiv div-exp
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
2.0ms
(cbrt (cbrt t))
2.0ms
(cbrt (cbrt t))
2.0ms
(cbrt (cbrt t))
25.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

series823.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (cbrt t))
243.0ms
(cbrt (cbrt t))
242.0ms
(cbrt (cbrt t))
96.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04651359
12379935
25002844

prune237.0ms

Filtered
108 candidates to 76 candidates (70.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1080108
Fresh044
Picked011
Done033
Total1088116

Merged error: 0.0b

Counts
116 → 8

regimes160.0ms

Accuracy

56.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

sample591.0ms

Algorithm
intervals
Results
323.0ms10684×body80valid

Profiling

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