Details

Time bar (total: 15.0s)

sample76.0ms

Algorithm
intervals
Results
23.0ms553×body80valid
20.0ms498×body80nan

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12517
24017
37817
413517
523517
655017
7154417
8476317
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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)))

rewrite65.0ms

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:
4.0ms
(/ (* t t) 2.0)
44.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series303.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (* t t) 2.0)
168.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
109.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify580.0ms

Counts
71 → 71
Iterations

Useful iterations: done (577.0ms)

IterNodesCost
01601071
14131017
21464866
done5001862

prune228.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
20×add-exp-log add-cbrt-cube
16×add-sqr-sqrt associate-*r*
13×add-cube-cbrt *-un-lft-identity
12×associate-*l/
10×pow-prod-down prod-exp sqrt-prod cbrt-unprod
8×sqrt-pow1
7×exp-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac *-commutative flip--
1×rem-sqrt-square pow1/2 div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
3.0ms
(sqrt (exp (/ (* t t) 2.0)))
155.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
44.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (exp (/ (* t t) 2.0)))
163.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
171.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
105.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify725.0ms

Counts
102 → 102
Iterations

Useful iterations: done (722.0ms)

IterNodesCost
02012185
15221809
218491551
done50001545

prune361.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log add-cbrt-cube
24×associate-*r*
20×pow-prod-down associate-*l/ prod-exp cbrt-unprod
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity sqrt-prod
6×associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 102
Calls
4 calls:
303.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
83.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
22.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series615.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
215.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
59.0ms
(* (- (* x 0.5) y) (sqrt z))
140.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify826.0ms

Counts
114 → 114
Iterations

Useful iterations: done (822.0ms)

IterNodesCost
02012686
15502207
222111853
done50001845

prune353.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite577.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1 add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
22×associate-*r*
20×associate-*l/
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×sqrt-prod
6×cbrt-prod associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 118
Calls
4 calls:
415.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (exp (/ (* t t) 2.0))))
14.0ms
(* (- (* x 0.5) y) (sqrt z))
31.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
112.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series871.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (exp (/ (* t t) 2.0))))
65.0ms
(* (- (* x 0.5) y) (sqrt z))
441.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
145.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify848.0ms

Counts
130 → 130
Iterations

Useful iterations: done (844.0ms)

IterNodesCost
02313333
16393047
225532218
done50012210

prune392.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes675.0ms

Accuracy

0% (0.3b 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
01726
12226
done2226

end0.0ms

sample2.5s

Algorithm
intervals
Results
771.0ms18167×body80valid
758.0ms18136×body80nan