Details

Time bar (total: 23.4s)

sample135.0ms

Algorithm
intervals
Results
42.0ms555×body80valid
39.0ms569×body80nan

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
015396
125396
241396
388396
4182396
5324396
6679396
72095396
done5000396

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube
7×add-sqr-sqrt associate-*r* add-exp-log
6×associate-*l/
5×*-un-lft-identity add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 41
Calls
2 calls:
112.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
45.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series353.0ms

Counts
2 → 6
Calls
2 calls:
214.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
139.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts
47 → 47
Iterations

Useful iterations: done (1.5s)

IterNodesCost
012417312
133715906
2145415596
done500015556

prune413.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite491.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×sqrt-pow1
14×exp-prod *-un-lft-identity add-cube-cbrt
13×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r* sqrt-prod
6×times-frac associate-*l/
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square flip3-- pow1/2 *-commutative div-inv flip--
1×unswap-sqr
Counts
4 → 84
Calls
4 calls:
7.0ms
(sqrt (exp (/ (* t t) 2.0)))
8.0ms
(sqrt (exp (/ (* t t) 2.0)))
426.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
48.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(sqrt (exp (/ (* t t) 2.0)))
45.0ms
(sqrt (exp (/ (* t t) 2.0)))
204.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
150.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts
96 → 96
Iterations

Useful iterations: 2 (415.0ms)

IterNodesCost
016330840
140827153
2167826911
done500026951

prune555.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-cbrt-cube
16×add-exp-log
15×associate-*r*
13×add-sqr-sqrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×*-un-lft-identity add-cube-cbrt
7×sqrt-prod
5×associate-*l*
3×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
3 → 70
Calls
3 calls:
186.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
27.0ms
(* (- (* x 0.5) y) (sqrt z))
55.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series523.0ms

Counts
3 → 9
Calls
3 calls:
258.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
90.0ms
(* (- (* x 0.5) y) (sqrt z))
175.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.8s

Counts
79 → 79
Iterations

Useful iterations: done (1.8s)

IterNodesCost
014928225
139925485
2209825175
done500224855

prune458.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize43.0ms

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))) (exp (/ (* t t) 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.3b
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.3b
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
61×pow1
55×add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
20×associate-*l/
19×associate-*r*
15×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
7×sqrt-prod
6×cbrt-prod associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 115
Calls
4 calls:
811.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
35.0ms
(* (- (* x 0.5) y) (sqrt z))
214.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
59.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
96.0ms
(* (- (* x 0.5) y) (sqrt z))
189.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
555.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify2.7s

Counts
127 → 127
Iterations

Useful iterations: done (2.7s)

IterNodesCost
020959889
158754263
2353853433
done500145035

prune680.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes1.1s

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 (3.0ms)

IterNodesCost
017476
122476
done22476

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.3s17897×body80nan
2.0s18141×body80valid