Details

Time bar (total: 30.3s)

sample239.0ms

Algorithm
intervals
Results
84.0ms568×body80valid
62.0ms618×body80nan

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12517
24117
38817
418217
532817
669117
7212117
done500117

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

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)))

rewrite227.0ms

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×associate-*l* prod-exp cbrt-unprod
3×times-frac
2×flip3-- sqrt-pow1 sqrt-prod *-commutative flip--
1×pow1/2 div-inv rem-exp-log unswap-sqr
Counts
4 → 67
Calls
4 calls:
148.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
7.0ms
(exp (/ (* t t) 2.0))
6.0ms
(sqrt (* z 2.0))
63.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
27.0ms
(exp (/ (* t t) 2.0))
66.0ms
(sqrt (* z 2.0))
149.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts
79 → 79
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01821152
14721088
22188942
done5000938

prune627.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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)))

rewrite211.0ms

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×unpow-prod-down 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 → 60
Calls
3 calls:
137.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
5.0ms
(sqrt (* z 2.0))
66.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series483.0ms

Counts
3 → 9
Calls
3 calls:
266.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
69.0ms
(sqrt (* z 2.0))
148.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.2s

Counts
69 → 69
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01801207
15011106
22744974
done5002970

prune495.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite404.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×prod-exp
19×add-cbrt-cube
16×associate-*r*
14×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity cbrt-unprod
8×associate-*l*
7×sqrt-prod
6×associate-*r/ associate-*l/ pow-exp
4×pow-prod-down
3×pow-to-exp unpow-prod-down e-exp-1 flip3-- *-commutative flip-- add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in unswap-sqr
1×sqr-pow
Counts
3 → 84
Calls
3 calls:
261.0ms
(* (* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0)) (pow E (/ (* t t) 2.0)))
51.0ms
(* (sqrt z) (- (* x 0.5) y))
87.0ms
(* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0))

series713.0ms

Counts
3 → 9
Calls
3 calls:
317.0ms
(* (* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0)) (pow E (/ (* t t) 2.0)))
127.0ms
(* (sqrt z) (- (* x 0.5) y))
268.0ms
(* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0))

simplify3.5s

Counts
93 → 93
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02001749
15681610
233901405
done50021387

prune729.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (* (sqrt z) (- (* x 0.5) y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow E (/ (* t t) 2.0)))
0.2b
(* (* (sqrt z) (- (* x 0.5) y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b
(* (sqrt z) (- (* x 0.5) y))
0.3b
(* (* (* (sqrt z) (- (* x 0.5) y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
124×add-exp-log
98×prod-exp
41×cbrt-unprod
39×add-cbrt-cube
36×pow1
22×pow-prod-down
20×associate-*r*
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity associate-*l/ pow-exp
9×associate-*l*
8×associate-*r/
7×sqrt-prod
6×cbrt-prod pow-to-exp e-exp-1
4×flip3-- *-commutative flip-- add-log-exp
3×unpow-prod-down
2×distribute-rgt-in sub-neg distribute-lft-in unswap-sqr
1×sqr-pow
Counts
4 → 135
Calls
4 calls:
1.4s
(* (* (* (* (sqrt z) (- (* x 0.5) y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow E (/ (* t t) 2.0)))
126.0ms
(* (* (sqrt z) (- (* x 0.5) y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
55.0ms
(* (sqrt z) (- (* x 0.5) y))
450.0ms
(* (* (* (sqrt z) (- (* x 0.5) y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series2.1s

Counts
4 → 12
Calls
4 calls:
419.0ms
(* (* (* (* (sqrt z) (- (* x 0.5) y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow E (/ (* t t) 2.0)))
1.2s
(* (* (sqrt z) (- (* x 0.5) y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
130.0ms
(* (sqrt z) (- (* x 0.5) y))
322.0ms
(* (* (* (sqrt z) (- (* x 0.5) y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify621.0ms

Counts
147 → 147
Iterations

Useful iterations: done (613.0ms)

IterNodesCost
02773900
18193591
done50002613

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes1.8s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02028
12728
22928
done2928

end0.0ms

sample8.7s

Algorithm
intervals
Results
3.1s18258×body80valid
2.9s18283×body80nan