Details

Time bar (total: 24.6s)

sample172.0ms

Algorithm
intervals
Results
53.0ms620×body80nan
43.0ms578×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
72095
6679
5324
4182
388
241
125
015

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube
8×add-sqr-sqrt add-exp-log
6×*-un-lft-identity associate-*l* add-cube-cbrt
5×associate-*r* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative
1×exp-prod flip3-- exp-to-pow sqrt-prod flip-- unswap-sqr rem-exp-log
Counts
3 → 49
Calls
3 calls:
6.0ms
(exp (* (/ t 2.0) t))
24.0ms
(* (exp (* (/ t 2.0) t)) (sqrt (* z 2.0)))
91.0ms
(* (- (* x 0.5) y) (* (exp (* (/ t 2.0) t)) (sqrt (* z 2.0))))

series440.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(exp (* (/ t 2.0) t))
136.0ms
(* (exp (* (/ t 2.0) t)) (sqrt (* z 2.0)))
269.0ms
(* (- (* x 0.5) y) (* (exp (* (/ t 2.0) t)) (sqrt (* z 2.0))))

simplify776.0ms

Counts
58 → 58
Iterations
IterNodes
done5001
21462
1384
0144

prune434.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
0.0b
(* (cbrt (pow (pow (exp t) (/ t 2.0)) 3)) (sqrt (* z 2.0)))
0.0b
(pow (pow (exp t) (/ t 2.0)) 3)
0.2b
(* (- (* x 0.5) y) (* (cbrt (pow (pow (exp t) (/ t 2.0)) 3)) (sqrt (* z 2.0))))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod
44×unpow-prod-down
37×add-sqr-sqrt
26×associate-*l*
24×cube-prod
22×*-un-lft-identity add-cube-cbrt
12×add-exp-log sqr-pow
11×pow1
10×add-cbrt-cube
9×unswap-sqr
5×associate-*r*
4×pow-prod-down pow-exp prod-exp cbrt-unprod add-log-exp
3×cube-mult pow-unpow unpow3
2×pow-to-exp associate-*l/ *-commutative
1×pow-pow flip3-- pow1/3 sqrt-prod rem-cbrt-cube flip-- rem-cube-cbrt
Counts
4 → 129
Calls
4 calls:
7.0ms
(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
71.0ms
(* (cbrt (pow (pow (exp t) (/ t 2.0)) 3)) (sqrt (* z 2.0)))
11.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
141.0ms
(* (- (* x 0.5) y) (* (cbrt (pow (pow (exp t) (/ t 2.0)) 3)) (sqrt (* z 2.0))))

series689.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
188.0ms
(* (cbrt (pow (pow (exp t) (/ t 2.0)) 3)) (sqrt (* z 2.0)))
123.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
299.0ms
(* (- (* x 0.5) y) (* (cbrt (pow (pow (exp t) (/ t 2.0)) 3)) (sqrt (* z 2.0))))

simplify2.3s

Counts
141 → 141
Iterations
IterNodes
done5000
23149
1602
0223

prune922.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
0.0b
(pow (pow (exp t) (/ t 2.0)) 3)
0.0b
(pow (pow (exp t) (/ t 2.0)) 3)
0.2b
(* (- (* x 0.5) y) (* (* (cbrt (cbrt (pow (pow (exp t) (/ t 2.0)) 3))) (cbrt (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))) (* (sqrt (* 2.0 z)) (cbrt (pow (exp t) (/ t 2.0))))))

rewrite561.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
39×unpow-prod-down
24×add-exp-log
22×pow1
21×add-sqr-sqrt *-un-lft-identity cube-prod add-cube-cbrt
18×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
9×sqr-pow
8×pow-exp
6×pow-unpow
4×pow-to-exp add-log-exp
3×cube-mult unpow3 associate-*l*
2×pow-pow associate-*l/ rem-cube-cbrt
1×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 126
Calls
4 calls:
13.0ms
(cbrt (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
10.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
11.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
520.0ms
(* (- (* x 0.5) y) (* (* (cbrt (cbrt (pow (pow (exp t) (/ t 2.0)) 3))) (cbrt (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))) (* (sqrt (* 2.0 z)) (cbrt (pow (exp t) (/ t 2.0))))))

series764.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
116.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
105.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
294.0ms
(* (- (* x 0.5) y) (* (* (cbrt (cbrt (pow (pow (exp t) (/ t 2.0)) 3))) (cbrt (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))) (* (sqrt (* 2.0 z)) (cbrt (pow (exp t) (/ t 2.0))))))

simplify2.5s

Counts
138 → 138
Iterations
IterNodes
done5000
23555
1584
0206

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
30×add-sqr-sqrt
22×prod-exp
20×*-un-lft-identity add-cbrt-cube add-cube-cbrt
14×associate-*r*
13×pow-unpow
12×pow1
10×associate-*l* cbrt-unprod
9×times-frac sqrt-prod
8×unpow-prod-down
6×unswap-sqr
4×pow-to-exp pow-pow pow-prod-down pow-exp add-log-exp sqr-pow
3×exp-prod *-commutative
2×associate-*l/
1×flip3-- div-inv flip--
Counts
4 → 107
Calls
4 calls:
9.0ms
(pow (exp t) (/ t 2.0))
30.0ms
(* (sqrt z) (pow (exp t) (/ t 2.0)))
151.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (pow (exp t) (/ t 2.0))) (sqrt 2.0)))
65.0ms
(* (* (sqrt z) (pow (exp t) (/ t 2.0))) (sqrt 2.0))

series781.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(pow (exp t) (/ t 2.0))
169.0ms
(* (sqrt z) (pow (exp t) (/ t 2.0)))
314.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (pow (exp t) (/ t 2.0))) (sqrt 2.0)))
199.0ms
(* (* (sqrt z) (pow (exp t) (/ t 2.0))) (sqrt 2.0))

simplify1.7s

Counts
119 → 119
Iterations
IterNodes
done5000
23057
1652
0226

prune681.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done26
226
125
018

end0.0ms

sample6.8s

Algorithm
intervals
Results
2.4s18015×body80nan
2.3s17830×body80valid