Details

Time bar (total: 6.3s)

sample125.0ms

Algorithm
intervals
Results
33.0ms593×body80nan
31.0ms564×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:
4.0ms
(/ (* t t) 2.0)
11.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
42.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms
(exp (/ (* t t) 2.0))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0413610
11743532
25002532

prune209.0ms

Filtered
67 candidates to 89 candidates (-32.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New81889
Fresh000
Picked101
Done000
Total82890

Merged error: 0.0b

Counts
90 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.0b
(pow (exp t) (/ t 2.0))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
11×associate-*r*
10×prod-exp add-cbrt-cube
9×times-frac
6×pow1 unpow-prod-down associate-*l/
4×pow-pow associate-*l* cbrt-unprod
3×pow-to-exp exp-prod pow-exp add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 77
Calls
3 calls:
12.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
4.0ms
(pow (exp t) (/ t 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series64.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
4.0ms
(pow (exp t) (/ t 2.0))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0479666
11986606
25002602

prune167.0ms

Filtered
64 candidates to 86 candidates (-34.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85186
Fresh167
Picked011
Done000
Total86894

Merged error: 0.0b

Counts
94 → 8

localize16.0ms

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
(exp (/ (* t t) 2.0))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-cbrt-cube
17×add-exp-log
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
7×exp-prod sqrt-prod
5×associate-*l* add-log-exp
3×flip3-- times-frac *-commutative flip--
2×unswap-sqr
1×div-inv rem-exp-log
Counts
4 → 85
Calls
4 calls:
13.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
9.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series76.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms
(exp (/ (* t t) 2.0))
10.0ms
(* (- (* x 0.5) y) (sqrt z))
16.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0428794
11953697
25001693

prune165.0ms

Filtered
67 candidates to 97 candidates (-44.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New94397
Fresh426
Picked011
Done011
Total987105

Merged error: 0b

Counts
105 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1 add-exp-log
23×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
16×add-sqr-sqrt associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
7×exp-prod sqrt-prod
6×cbrt-prod
5×associate-*l* add-log-exp
3×flip3-- times-frac *-commutative flip--
2×unswap-sqr
1×div-inv rem-exp-log
Counts
4 → 98
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
15.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
17.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
10.0ms
(* (- (* x 0.5) y) (sqrt z))
39.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
16.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04771167
12136923
25001860

prune216.0ms

Filtered
69 candidates to 110 candidates (-59.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh044
Picked011
Done022
Total1107117

Merged error: 0b

Counts
117 → 7

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.0s17825×body80valid
1.0s18023×body80nan

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