Details

Time bar (total: 35.5s)

sample219.0ms

Algorithm
intervals
Results
70.0ms618×body80nan
58.0ms568×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
24317
39217
420417
537117
675517
7230517
done500017

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-sqr-sqrt add-cbrt-cube
9×add-exp-log add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×associate-*l/
5×pow-prod-down add-log-exp
4×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u
3×times-frac
2×flip3-- sqrt-pow1 sqrt-prod *-commutative flip--
1×pow1/2 div-inv rem-exp-log unswap-sqr
Counts
4 → 75
Calls
4 calls:
175.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms
(exp (/ (* t t) 2.0))
7.0ms
(sqrt (* z 2.0))
63.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series547.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
32.0ms
(exp (/ (* t t) 2.0))
79.0ms
(sqrt (* z 2.0))
166.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts
87 → 87
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01901234
14941168
221101024
done50001007

prune727.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
13×prod-exp
11×associate-*r*
10×add-cbrt-cube
9×add-sqr-sqrt
8×pow1
7×add-cube-cbrt *-un-lft-identity
6×associate-*l/
4×associate-*l* pow-exp cbrt-unprod
3×expm1-log1p-u unpow-prod-down log1p-expm1-u add-log-exp
2×pow-to-exp e-exp-1 flip3-- sqrt-pow1 pow-prod-down sqrt-prod *-commutative flip--
1×pow1/2 unswap-sqr sqr-pow
Counts
3 → 66
Calls
3 calls:
149.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
7.0ms
(sqrt (* z 2.0))
71.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series523.0ms

Counts
3 → 9
Calls
3 calls:
282.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
82.0ms
(sqrt (* z 2.0))
159.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.5s

Counts
75 → 75
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01861277
15211176
226861046
done50001027

prune663.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite448.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×prod-exp
19×associate-*r* add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l/
10×pow1 add-cube-cbrt *-un-lft-identity cbrt-unprod
7×sqrt-prod
6×pow-exp
5×associate-*l*
4×pow-prod-down
3×expm1-log1p-u pow-to-exp unpow-prod-down e-exp-1 flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
1×sqr-pow
Counts
3 → 86
Calls
3 calls:
293.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow E (/ (* t t) 2.0)))
50.0ms
(* (- (* x 0.5) y) (sqrt z))
99.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series677.0ms

Counts
3 → 9
Calls
3 calls:
361.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow E (/ (* t t) 2.0)))
106.0ms
(* (- (* x 0.5) y) (sqrt z))
210.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify3.4s

Counts
95 → 95
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01781736
14851583
229301396
done50011363

prune677.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

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))) (pow E (/ (* t t) 2.0)))
0.2b
(* (* (- (* 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)))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
124×add-exp-log
98×prod-exp
41×cbrt-unprod
39×add-cbrt-cube
36×pow1
23×associate-*r*
22×pow-prod-down
20×associate-*l/
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity pow-exp
7×sqrt-prod
6×cbrt-prod pow-to-exp e-exp-1 associate-*l*
4×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
3×unpow-prod-down
2×unswap-sqr
1×sqr-pow
Counts
4 → 139
Calls
4 calls:
1.4s
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow E (/ (* t t) 2.0)))
118.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
47.0ms
(* (- (* x 0.5) y) (sqrt z))
387.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
358.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow E (/ (* t t) 2.0)))
645.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
98.0ms
(* (- (* x 0.5) y) (sqrt z))
210.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify4.7s

Counts
151 → 151
Iterations

Useful iterations: done (4.6s)

IterNodesCost
02463915
17013578
242952625
done50002592

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.5s

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02028
12728
22928
done2928

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.0s18283×body80nan
2.9s18258×body80valid