Details

Time bar (total: 18.5s)

sample201.0ms

Algorithm
intervals
Results
79.0ms625×body80valid
62.0ms597×body80nan

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done2000
71585
6613
5332
4198
395
242
126
015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

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)))

rewrite427.0ms

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×expm1-log1p-u associate-*l* pow-prod-down insert-posit16 log1p-expm1-u
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 → 89
Calls
4 calls:
9.0ms
(/ (* t t) 2.0)
378.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms
(exp (/ (* t t) 2.0))
36.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (* t t) 2.0)
212.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
35.0ms
(exp (/ (* t t) 2.0))
184.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify631.0ms

Counts
101 → 101
Iterations
IterNodes
done2003
21677
1498
0186

prune613.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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)))

rewrite131.0ms

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×expm1-log1p-u pow-to-exp flip3-- pow-exp *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
1×pow-prod-down sqrt-prod unswap-sqr sqr-pow
Counts
2 → 53
Calls
2 calls:
94.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
36.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series359.0ms

Counts
2 → 6
Calls
2 calls:
233.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
125.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify616.0ms

Counts
59 → 59
Iterations
IterNodes
done2001
21161
1396
0150

prune331.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite217.0ms

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×expm1-log1p-u pow-to-exp unpow-prod-down flip3-- pow-exp *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
2×unswap-sqr
1×sqr-pow
Counts
3 → 86
Calls
3 calls:
138.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
27.0ms
(* (- (* x 0.5) y) (sqrt z))
50.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series477.0ms

Counts
3 → 9
Calls
3 calls:
222.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
96.0ms
(* (- (* x 0.5) y) (sqrt z))
159.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify770.0ms

Counts
95 → 95
Iterations
IterNodes
done2002
21607
1463
0180

prune490.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize51.0ms

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)))

rewrite1.1s

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×expm1-log1p-u flip3-- *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
3×unpow-prod-down
2×unswap-sqr
1×sqr-pow
Counts
4 → 137
Calls
4 calls:
761.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
34.0ms
(* (- (* x 0.5) y) (sqrt z))
82.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
238.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series972.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (* (* (* (- (* 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))
494.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
184.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify650.0ms

Counts
149 → 149
Iterations
IterNodes
done2001
1648
0249

prune664.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes630.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample7.3s

Algorithm
intervals
Results
3.1s18248×body80nan
2.6s18018×body80valid