Details

Time bar (total: 11.5s)

sample189.0ms

Algorithm
intervals
Results
57.0ms552×body80valid
48.0ms526×body80nan

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune24.0ms

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: 0.3b

Counts
2 → 1

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b
(/ (* t t) 2.0)
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv
1×frac-2neg clear-num sqrt-prod rem-exp-log associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
5.0ms
(exp (/ (* t t) 2.0))
44.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
19.0ms
(/ (* t t) 2.0)
32.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series112.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (/ (* t t) 2.0))
77.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
5.0ms
(/ (* t t) 2.0)
26.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0413610
11743532
25002532

prune387.0ms

Filtered
89 candidates to 67 candidates (24.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New781189
Fresh000
Picked101
Done000
Total791190

Merged error: 0.0b

Counts
90 → 11

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
11×associate-*r*
10×prod-exp
9×add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l/
4×pow1 associate-*l* cbrt-unprod
3×unpow-prod-down
2×pow-to-exp flip3-- pow-exp *-commutative flip-- add-log-exp
1×pow-prod-down sqrt-prod unswap-sqr sqr-pow
Counts
2 → 47
Calls
2 calls:
21.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
18.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
26.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0352506
11448452
25002452

prune282.0ms

Filtered
53 candidates to 38 candidates (28.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New53053
Fresh01010
Picked011
Done000
Total531164

Merged error: 0.0b

Counts
64 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.0b
(/ (* t t) 2.0)
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.5b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
23.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
8.0ms
(/ (* t t) 2.0)
12.0ms
(* (- (* x 0.5) y) (sqrt z))
17.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series126.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
5.0ms
(/ (* t t) 2.0)
20.0ms
(* (- (* x 0.5) y) (sqrt z))
26.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
0479808
12307701
25001697

prune310.0ms

Filtered
103 candidates to 70 candidates (32.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh639
Picked101
Done011
Total1086114

Merged error: 0.0b

Counts
114 → 6

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.2b
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.3b
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
36×pow1
28×add-cbrt-cube
23×prod-exp cbrt-unprod
22×pow-prod-down
16×add-sqr-sqrt associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
7×sqrt-prod
6×cbrt-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 104
Calls
4 calls:
7.0ms
(/ (* t t) 2.0)
22.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
11.0ms
(* (- (* x 0.5) y) (sqrt z))
31.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series118.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (* t t) 2.0)
67.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
18.0ms
(* (- (* x 0.5) y) (sqrt z))
28.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify137.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
05161180
12509923
25001864

prune453.0ms

Filtered
116 candidates to 73 candidates (37.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh044
Picked011
Done011
Total1157122

Merged error: 0b

Counts
122 → 7

regimes2.2s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0199
1199

end0.0ms

sample6.2s

Algorithm
intervals
Results
1.8s18302×body80nan
1.7s17797×body80valid

Profiling

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