Details

Time bar (total: 18.3s)

sample250.0ms

Algorithm
intervals
Results
92.0ms597×body80nan
87.0ms625×body80valid

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done2016
71375
6508
5273
4176
391
240
125
015

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cube-cbrt
7×exp-prod associate-*r*
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×associate-*l* pow-prod-down insert-posit16
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative div-inv flip--
1×clear-num frac-2neg sqrt-prod associate-/l* unswap-sqr rem-exp-log
Counts
4 → 81
Calls
4 calls:
13.0ms
(/ (* t t) 2.0)
104.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
5.0ms
(exp (/ (* t t) 2.0))
59.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* t t) 2.0)
159.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
20.0ms
(exp (/ (* t t) 2.0))
142.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify713.0ms

Counts
93 → 93
Iterations
IterNodes
done2024
21565
1483
0178

prune530.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
11×associate-*r*
10×prod-exp
9×add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity associate-*l/ add-cube-cbrt
4×pow1 associate-*l* cbrt-unprod
3×unpow-prod-down
2×pow-to-exp flip3-- pow-exp *-commutative insert-posit16 flip-- add-log-exp
1×pow-prod-down sqrt-prod unswap-sqr sqr-pow
Counts
2 → 49
Calls
2 calls:
98.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
41.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series371.0ms

Counts
2 → 6
Calls
2 calls:
222.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
148.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify599.0ms

Counts
55 → 55
Iterations
IterNodes
done2004
21119
1390
0146

prune267.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
22×prod-exp
19×add-cbrt-cube associate-*r*
14×add-sqr-sqrt
12×associate-*l/
10×pow1 *-un-lft-identity add-cube-cbrt cbrt-unprod
7×sqrt-prod
5×associate-*l*
4×pow-prod-down
3×pow-to-exp unpow-prod-down flip3-- pow-exp *-commutative insert-posit16 flip-- add-log-exp
2×unswap-sqr
1×sqr-pow
Counts
3 → 80
Calls
3 calls:
132.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
23.0ms
(* (- (* x 0.5) y) (sqrt z))
46.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series489.0ms

Counts
3 → 9
Calls
3 calls:
256.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
80.0ms
(* (- (* x 0.5) y) (sqrt z))
153.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify884.0ms

Counts
89 → 89
Iterations
IterNodes
done2006
21528
1461
0174

prune426.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize40.0ms

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

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
79×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×*-un-lft-identity add-cube-cbrt
7×sqrt-prod
6×cbrt-prod pow-to-exp associate-*l* pow-exp
4×flip3-- *-commutative insert-posit16 flip-- add-log-exp
3×unpow-prod-down
2×unswap-sqr
1×sqr-pow
Counts
4 → 129
Calls
4 calls:
699.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
24.0ms
(* (- (* x 0.5) y) (sqrt z))
62.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
230.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
84.0ms
(* (- (* x 0.5) y) (sqrt z))
512.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
185.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify706.0ms

Counts
141 → 141
Iterations
IterNodes
done2000
1646
0241

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes697.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample7.2s

Algorithm
intervals
Results
2.9s18018×body80valid
2.7s18248×body80nan