Details

Time bar (total: 10.0s)

sample102.0ms

Algorithm
intervals
Results
28.0ms598×body80nan
25.0ms600×body80valid

simplify109.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019
done50019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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)))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube
7×add-exp-log add-sqr-sqrt associate-*r*
6×associate-*l/
5×add-cube-cbrt *-un-lft-identity
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 45
Calls
2 calls:
101.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
42.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series313.0ms

Counts
2 → 6
Calls
2 calls:
189.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
123.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify56.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0342490
11288417
25001410
done5001410

prune184.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite280.0ms

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×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
5×associate-*l*
3×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
3 → 76
Calls
3 calls:
187.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
33.0ms
(* (- (* x 0.5) y) (sqrt z))
58.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series444.0ms

Counts
3 → 9
Calls
3 calls:
227.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
70.0ms
(* (- (* x 0.5) y) (sqrt z))
147.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify74.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0402775
11806660
25001646
done5001646

prune270.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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)))
0.3b
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 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)))) (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×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod associate-*l*
4×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 123
Calls
4 calls:
815.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
75.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
30.0ms
(* (- (* x 0.5) y) (sqrt z))
240.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series952.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
479.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
75.0ms
(* (- (* x 0.5) y) (sqrt z))
155.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify110.0ms

Counts
135 → 135
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
05961958
128081442
250031319
done50031319

prune413.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

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

rewrite908.0ms

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:
625.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
32.0ms
(* (- (* x 0.5) y) (sqrt z))
60.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
187.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
75.0ms
(* (- (* x 0.5) y) (sqrt z))
179.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
151.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify110.0ms

Counts
125 → 125
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
05621337
126761071
250021039
done50021039

prune393.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes554.0ms

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
0199
1199
done199

end0.0ms

sample2.7s

Algorithm
intervals
Results
749.0ms17642×body80valid
731.0ms17786×body80nan