Details

Time bar (total: 27.0s)

sample159.0ms

Algorithm
intervals
Results
53.0ms504×body80valid
38.0ms489×body80nan

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
12517
24117
38817
418217
532817
669117
7212117
done500117

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 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)))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×frac-2neg clear-num sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
10.0ms
(/ (* t t) 2.0)
104.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
50.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series396.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (* t t) 2.0)
221.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
121.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
71 → 71
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01601071
14471023
22459880
done5002870

prune396.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
16.0ms
(/ (* t t) 2.0)
224.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
30.0ms
(* (- (* x 0.5) y) (sqrt z))
70.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series553.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* t t) 2.0)
247.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
87.0ms
(* (- (* x 0.5) y) (sqrt z))
184.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.8s

Counts
103 → 103
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01821582
15111486
232521273
done50011253

prune555.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
34×pow1 add-cbrt-cube
30×add-exp-log
27×associate-*r*
22×sqrt-prod
20×pow-prod-down associate-*l/ prod-exp cbrt-unprod
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 105
Calls
4 calls:
815.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
31.0ms
(* (- (* x 0.5) y) (sqrt z))
198.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
70.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series749.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
91.0ms
(* (- (* x 0.5) y) (sqrt z))
169.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
203.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify2.6s

Counts
117 → 117
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01992426
15622015
233301701
done50001641

prune643.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log add-cbrt-cube
30×associate-*r*
25×sqrt-prod
20×pow-prod-down associate-*l/ prod-exp cbrt-unprod
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 108
Calls
4 calls:
44.0ms
(* (- (* x 0.5) y) (sqrt z))
811.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
215.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0))))
83.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series1.7s

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (- (* x 0.5) y) (sqrt z))
929.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
441.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0))))
202.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify3.3s

Counts
120 → 120
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02412595
16772386
240062006
done50011976

prune667.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
11917
done1917

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.1s17894×body80nan
2.0s17974×body80valid