Details

Time bar (total: 10.4s)

sample84.0ms

Algorithm
intervals
Results
24.0ms548×body80nan
23.0ms578×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
24217
38417
416217
528617
662517
7178517
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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

rewrite58.0ms

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×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u
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 → 85
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
36.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* t t) 2.0)
153.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms
(exp (/ (* t t) 2.0))
98.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify629.0ms

Counts
97 → 97
Iterations

Useful iterations: done (626.0ms)

IterNodesCost
01831294
14691231
217681068
done50001064

prune304.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite52.0ms

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×expm1-log1p-u pow-to-exp exp-prod pow-exp log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 83
Calls
3 calls:
3.0ms
(pow (exp t) (/ t 2.0))
32.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series337.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(pow (exp t) (/ t 2.0))
187.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
104.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify768.0ms

Counts
92 → 92
Iterations

Useful iterations: done (766.0ms)

IterNodesCost
01921375
15231272
220091148
done50011144

prune312.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
10×prod-exp add-cbrt-cube
9×times-frac
8×associate-*r*
7×unpow-prod-down associate-*l*
6×pow1
4×pow-pow cbrt-unprod
3×expm1-log1p-u pow-to-exp exp-prod pow-exp log1p-expm1-u add-log-exp unswap-sqr sqr-pow
2×associate-*l/ *-commutative
1×flip3-- pow-prod-down sqrt-prod flip-- div-inv
Counts
3 → 83
Calls
3 calls:
3.0ms
(pow (exp t) (/ t 2.0))
11.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
34.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

series355.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(pow (exp t) (/ t 2.0))
118.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
186.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

simplify907.0ms

Counts
92 → 92
Iterations

Useful iterations: done (905.0ms)

IterNodesCost
02031455
15541345
220491224
done50011219

prune306.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
30×add-sqr-sqrt
22×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
15×associate-*l*
13×pow-unpow
12×pow1
10×cbrt-unprod
9×times-frac associate-*r* sqrt-prod
8×unpow-prod-down
6×unswap-sqr
4×expm1-log1p-u pow-to-exp pow-pow pow-prod-down pow-exp log1p-expm1-u add-log-exp sqr-pow
3×exp-prod *-commutative
2×associate-*l/
1×flip3-- flip-- div-inv
Counts
4 → 115
Calls
4 calls:
3.0ms
(pow (exp t) (/ t 2.0))
10.0ms
(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
41.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0)))))
13.0ms
(* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

series478.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(pow (exp t) (/ t 2.0))
85.0ms
(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
211.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0)))))
137.0ms
(* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

simplify878.0ms

Counts
127 → 127
Iterations

Useful iterations: done (874.0ms)

IterNodesCost
02182037
15831862
223791680
done50011675

prune358.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes527.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
11917
done1917

end0.0ms

sample2.4s

Algorithm
intervals
Results
740.0ms18146×body80valid
737.0ms18159×body80nan