Details

Time bar (total: 6.7s)

sample104.0ms

Algorithm
intervals
Results
31.0ms596×body80nan
30.0ms588×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune3.0ms

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: 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)))

rewrite30.0ms

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)
14.0ms
(* (* (- (* 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)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* t t) 2.0)
155.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
18.0ms
(exp (/ (* t t) 2.0))
100.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0443614
11819523
25001520

prune259.0ms

Filtered
89 candidates to 67 candidates (75.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 0.0b

Counts
90 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:
4.0ms
(pow (exp t) (/ t 2.0))
11.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
10.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series317.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(pow (exp t) (/ t 2.0))
172.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
99.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0495663
12045592
25002592

prune305.0ms

Filtered
86 candidates to 64 candidates (74.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New82486
Fresh459
Picked011
Done000
Total861096

Merged error: 0.0b

Counts
96 → 10

localize16.0ms

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×pow1
20×add-exp-log
16×cbrt-prod add-cube-cbrt *-un-lft-identity
14×add-cbrt-cube
11×associate-*r* pow-prod-down
10×associate-*l* prod-exp cbrt-unprod
7×exp-prod
6×pow1/3 swap-sqr associate-*l/
5×add-log-exp unswap-sqr
3×times-frac *-commutative
2×flip3-- pow-sqr pow-prod-up flip--
1×pow2 pow-plus sqrt-prod div-inv rem-exp-log
Counts
4 → 100
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
15.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0)))))
8.0ms
(* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series538.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(exp (/ (* t t) 2.0))
250.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0)))))
165.0ms
(* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))
101.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04631191
118541013
25002956

prune400.0ms

Filtered
112 candidates to 76 candidates (67.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1084112
Fresh448
Picked101
Done011
Total1139122

Merged error: 0.0b

Counts
122 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp t) (/ t 2.0))
0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
24×add-sqr-sqrt
22×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×associate-*r*
13×pow-unpow
12×pow1 associate-*l/
10×cbrt-unprod
9×times-frac
7×sqrt-prod
6×unpow-prod-down
5×associate-*l*
4×pow-to-exp pow-pow pow-prod-down pow-exp add-log-exp
3×exp-prod flip3-- *-commutative flip--
2×unswap-sqr sqr-pow
1×div-inv
Counts
4 → 107
Calls
4 calls:
4.0ms
(pow (exp t) (/ t 2.0))
12.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
9.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series501.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(pow (exp t) (/ t 2.0))
216.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
59.0ms
(* (- (* x 0.5) y) (sqrt z))
182.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify88.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0559948
12648834
25002834

prune514.0ms

Filtered
119 candidates to 78 candidates (65.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1136119
Fresh617
Picked011
Done011
Total1199128

Merged error: 0.0b

Counts
128 → 9

regimes509.0ms

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

sample2.5s

Algorithm
intervals
Results
781.0ms18205×body80valid
747.0ms18238×body80nan