Details

Time bar (total: 6.2s)

sample102.0ms

Algorithm
intervals
Results
33.0ms589×body80valid
31.0ms604×body80nan

simplify75.0ms

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 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×exp-prod
6×times-frac
5×pow1
4×associate-*r* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv
1×flip3-- frac-2neg pow-prod-down clear-num sqrt-prod *-commutative flip-- rem-exp-log associate-/l* unswap-sqr
Counts
3 → 57
Calls
3 calls:
4.0ms
(/ (* t t) 2.0)
2.0ms
(exp (/ (* t t) 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series143.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (* t t) 2.0)
18.0ms
(exp (/ (* t t) 2.0))
99.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0312329
11192286
25001285

prune183.0ms

Filtered
66 candidates to 51 candidates (77.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New57966
Fresh000
Picked101
Done000
Total58967

Merged error: 0.0b

Counts
67 → 9

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt pow-unpow *-un-lft-identity
9×times-frac
5×pow1
4×add-exp-log pow-pow associate-*r* add-cbrt-cube
3×unpow-prod-down exp-prod associate-*l*
2×associate-*l/ add-log-exp
1×pow-to-exp flip3-- pow-prod-down pow-exp prod-exp sqrt-prod *-commutative flip-- cbrt-unprod div-inv unswap-sqr sqr-pow
Counts
2 → 51
Calls
2 calls:
4.0ms
(pow (exp t) (/ t 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(pow (exp t) (/ t 2.0))
103.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0337325
11276299
25001298

prune173.0ms

Filtered
57 candidates to 45 candidates (78.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh178
Picked011
Done000
Total57966

Merged error: 0.0b

Counts
66 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:
7.0ms
(/ (* 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))

series229.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (* t t) 2.0)
18.0ms
(exp (/ (* t t) 2.0))
58.0ms
(* (- (* x 0.5) y) (sqrt z))
129.0ms
(* (* (- (* 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

prune235.0ms

Filtered
95 candidates to 66 candidates (69.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New90595
Fresh437
Picked011
Done011
Total9410104

Merged error: 0b

Counts
104 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
0.3b
(* (* (- (* 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)))

rewrite42.0ms

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))
13.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 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)))

series612.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(exp (/ (* t t) 2.0))
401.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
55.0ms
(* (- (* x 0.5) y) (sqrt z))
134.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04801176
12154911
25003852

prune347.0ms

Filtered
110 candidates to 66 candidates (60.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh167
Picked011
Done022
Total11010120

Merged error: 0b

Counts
120 → 10

regimes691.0ms

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 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample2.9s

Algorithm
intervals
Results
994.0ms18166×body80valid
963.0ms17882×body80nan