Details

Time bar (total: 24.0s)

sample157.0ms

Algorithm
intervals
Results
59.0ms569×body80nan
41.0ms555×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
015396
126396
243396
392396
4204396
5367396
6746396
72322396
done5000396

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

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)))

rewrite138.0ms

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×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 45
Calls
2 calls:
102.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
35.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series364.0ms

Counts
2 → 6
Calls
2 calls:
230.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
133.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
51 → 51
Iterations

Useful iterations: done (1.4s)

IterNodesCost
012818834
134617323
2136916878
done500016643

prune391.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite187.0ms

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×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-- pow1/2 *-commutative div-inv flip--
1×unswap-sqr
Counts
4 → 92
Calls
4 calls:
10.0ms
(sqrt (exp (/ (* t t) 2.0)))
11.0ms
(sqrt (exp (/ (* t t) 2.0)))
127.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
35.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (exp (/ (* t t) 2.0)))
34.0ms
(sqrt (exp (/ (* t t) 2.0)))
222.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
137.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts
104 → 104
Iterations

Useful iterations: done (1.7s)

IterNodesCost
016933530
142129793
2164129461
done500129376

prune934.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite291.0ms

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×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×unswap-sqr
Counts
3 → 76
Calls
3 calls:
208.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
31.0ms
(* (- (* x 0.5) y) (sqrt z))
49.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series467.0ms

Counts
3 → 9
Calls
3 calls:
205.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
69.0ms
(* (- (* x 0.5) y) (sqrt z))
193.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.0s

Counts
85 → 85
Iterations

Useful iterations: done (2.0s)

IterNodesCost
015530395
140927575
2213127345
done500026695

prune494.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize47.0ms

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))))

rewrite1.2s

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×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×unswap-sqr
Counts
4 → 123
Calls
4 calls:
819.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
30.0ms
(* (- (* x 0.5) y) (sqrt z))
270.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
96.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series925.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
90.0ms
(* (- (* x 0.5) y) (sqrt z))
167.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
452.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify2.9s

Counts
135 → 135
Iterations

Useful iterations: done (2.8s)

IterNodesCost
021763589
159957963
2333257083
done500047230

prune599.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
017476
122476
done22476

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.9s18141×body80valid
1.8s17897×body80nan