Details

Time bar (total: 21.2s)

sample209.0ms

Algorithm
intervals
Results
66.0ms591×body80valid
55.0ms656×body80nan

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
24317
39217
418317
531517
665917
7186317
done500017

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

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)))

rewrite283.0ms

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:
13.0ms
(/ (* t t) 2.0)
157.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms
(exp (/ (* t t) 2.0))
64.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* t t) 2.0)
215.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
33.0ms
(exp (/ (* t t) 2.0))
143.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts
97 → 97
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01831294
14561223
214721068
done50001041

prune423.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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)))

rewrite227.0ms

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:
6.0ms
(pow (exp t) (/ t 2.0))
153.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
65.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series481.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(pow (exp t) (/ t 2.0))
264.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
145.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts
92 → 92
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01921375
15001272
215951148
done50001124

prune418.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite388.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
27×add-exp-log
26×add-sqr-sqrt pow-unpow
24×add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
18×times-frac
16×pow-prod-down prod-exp cbrt-unprod
8×pow-pow
6×unpow-prod-down exp-prod associate-*l/
5×associate-*r*
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×pow-to-exp flip3-- pow-exp *-commutative flip-- div-inv sqr-pow
1×sqrt-prod unswap-sqr
Counts
4 → 119
Calls
4 calls:
10.0ms
(pow (exp t) (/ t 2.0))
7.0ms
(pow (exp t) (/ t 2.0))
293.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
74.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series459.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(pow (exp t) (/ t 2.0))
54.0ms
(pow (exp t) (/ t 2.0))
211.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
143.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts
131 → 131
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02022536
15342364
218321643
done50001491

prune770.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

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)) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (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))

rewrite909.0ms

Algorithm
rewrite-expression-head
Rules
48×pow1
47×add-exp-log
35×add-cbrt-cube
31×pow-prod-down prod-exp cbrt-unprod
22×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
13×pow-unpow associate-*r*
12×associate-*l/
9×times-frac
7×sqrt-prod
5×associate-*l*
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×unpow-prod-down exp-prod flip3-- *-commutative flip--
2×unswap-sqr
1×pow-to-exp pow-exp div-inv sqr-pow
Counts
4 → 124
Calls
4 calls:
12.0ms
(pow (exp t) (/ t 2.0))
495.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
327.0ms
(* (- (* x 0.5) y) (sqrt z))
66.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series757.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(pow (exp t) (/ t 2.0))
379.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
103.0ms
(* (- (* x 0.5) y) (sqrt z))
201.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.5s

Counts
136 → 136
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02303158
16012905
221931932
done50001730

prune669.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes470.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01834
12334
done2334

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.4s17940×body80valid
1.6s17840×body80nan