Details

Time bar (total: 6.3s)

sample100.0ms

Algorithm
intervals
Results
34.0ms603×body80nan
30.0ms577×body80valid

simplify73.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:
12.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
4.0ms
(/ (* t t) 2.0)
2.0ms
(exp (/ (* t t) 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
23.0ms
(/ (* t t) 2.0)
18.0ms
(exp (/ (* t t) 2.0))
102.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0443614
11819523
25001520

prune257.0ms

Filtered
89 candidates to 67 candidates (75.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New81889
Fresh000
Picked101
Done000
Total82890

Merged error: 0.0b

Counts
90 → 8

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)))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite28.0ms

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:
5.0ms
(pow (exp t) (/ t 2.0))
12.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
9.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series343.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(pow (exp t) (/ t 2.0))
189.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
105.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0495663
12045592
25003592

prune226.0ms

Filtered
86 candidates to 64 candidates (74.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84286
Fresh167
Picked101
Done000
Total86894

Merged error: 0.0b

Counts
94 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
19×add-sqr-sqrt
14×associate-*r*
13×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log unpow-prod-down add-cbrt-cube
6×rem-sqrt-square associate-*l/
5×sqr-pow
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×flip3-- sqrt-pow1 pow1/2 *-commutative flip--
1×unswap-sqr
Counts
4 → 86
Calls
4 calls:
5.0ms
(sqrt (pow (exp t) (/ t 2.0)))
3.0ms
(sqrt (pow (exp t) (/ t 2.0)))
12.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0))))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series457.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(sqrt (pow (exp t) (/ t 2.0)))
81.0ms
(sqrt (pow (exp t) (/ t 2.0)))
220.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0))))
100.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0416793
11692714
25001712

prune300.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New98098
Fresh077
Picked011
Done000
Total988106

Merged error: 0.0b

Counts
106 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(exp (/ (* t t) 2.0))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×pow1
7×exp-prod sqrt-prod
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 unswap-sqr
1×frac-2neg clear-num rem-exp-log associate-/l*
Counts
4 → 83
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
2.0ms
(exp (/ (* t t) 2.0))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
10.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series238.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* t t) 2.0)
18.0ms
(exp (/ (* t t) 2.0))
57.0ms
(* (- (* x 0.5) y) (sqrt z))
134.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0392531
11725461
25001455

prune217.0ms

Filtered
95 candidates to 66 candidates (69.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New93295
Fresh336
Picked011
Done011
Total967103

Merged error: 0b

Counts
103 → 7

regimes514.0ms

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
02215
12215

end0.0ms

sample2.9s

Algorithm
intervals
Results
971.0ms17838×body80valid
954.0ms17779×body80nan

Profiling

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