Details

Time bar (total: 32.5s)

sample161.0ms

Algorithm
intervals
Results
50.0ms489×body80nan
39.0ms504×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
12617
24317
39217
420417
537117
675517
7230517
done500017

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

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)))

rewrite183.0ms

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×expm1-log1p-u times-frac associate-/r* log1p-expm1-u 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 → 68
Calls
3 calls:
18.0ms
(/ (* t t) 2.0)
117.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
45.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series504.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (* t t) 2.0)
269.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
201.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts
77 → 77
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01661141
14581093
22382942
done5001931

prune427.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite326.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 99
Calls
4 calls:
19.0ms
(/ (* t t) 2.0)
201.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
31.0ms
(* (- (* x 0.5) y) (sqrt z))
71.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series710.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* t t) 2.0)
350.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
98.0ms
(* (- (* x 0.5) y) (sqrt z))
226.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.4s

Counts
111 → 111
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01901674
15231578
232091360
done50021330

prune728.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize57.0ms

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)))

rewrite1.4s

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×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 113
Calls
4 calls:
973.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
41.0ms
(* (- (* x 0.5) y) (sqrt z))
281.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
104.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series872.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
109.0ms
(* (- (* x 0.5) y) (sqrt z))
203.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
253.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify3.2s

Counts
125 → 125
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02072552
15772121
233081803
done50001730

prune796.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
61×pow1 add-cbrt-cube
55×add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
22×associate-*r*
20×associate-*l/
16×add-sqr-sqrt sqrt-prod
12×add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*l*
4×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 126
Calls
4 calls:
1.2s
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
117.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0)))))
62.0ms
(* (- (* x 0.5) y) (sqrt z))
316.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))

series2.4s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
452.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0)))))
108.0ms
(* (- (* x 0.5) y) (sqrt z))
827.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))

simplify2.9s

Counts
138 → 138
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02683965
17703630
240222981
done50002968

prune1.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes1.3s

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

sample6.8s

Algorithm
intervals
Results
2.3s17894×body80nan
2.3s17974×body80valid