Details

Time bar (total: 6.5s)

sample91.0ms

Algorithm
intervals
Results
30.0ms564×body80valid
27.0ms520×body80nan

simplify80.0ms

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

localize15.0ms

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)))

rewrite28.0ms

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)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
26.0ms
(/ (* t t) 2.0)
18.0ms
(exp (/ (* t t) 2.0))
101.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0443614
11819523
25001520

prune225.0ms

Filtered
89 candidates to 67 candidates (75.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80989
Fresh000
Picked101
Done000
Total81990

Merged error: 0.0b

Counts
90 → 9

localize17.0ms

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)))

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

series341.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(pow (exp t) (/ t 2.0))
186.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
105.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0495663
12045592
25003592

prune227.0ms

Filtered
86 candidates to 64 candidates (74.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85186
Fresh178
Picked011
Done000
Total86995

Merged error: 0.0b

Counts
95 → 9

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))
0.5b
(* (* (- (* 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))
9.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series233.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* t t) 2.0)
18.0ms
(exp (/ (* t t) 2.0))
55.0ms
(* (- (* x 0.5) y) (sqrt z))
132.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0392531
11725461
25001455

prune234.0ms

Filtered
95 candidates to 66 candidates (69.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92395
Fresh347
Picked101
Done011
Total968104

Merged error: 0.0b

Counts
104 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:
5.0ms
(exp (/ (* t t) 2.0))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
17.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
14.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series626.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(exp (/ (* t t) 2.0))
59.0ms
(* (- (* x 0.5) y) (sqrt z))
132.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
416.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04801176
12153911
25002852

prune268.0ms

Filtered
110 candidates to 67 candidates (60.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh066
Picked101
Done011
Total1099118

Merged error: 0b

Counts
118 → 9

regimes619.0ms

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

sample2.8s

Algorithm
intervals
Results
953.0ms18324×body80nan
943.0ms17907×body80valid

Profiling

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