Details

Time bar (total: 23.4s)

sample144.0ms

Algorithm
intervals
Results
56.0ms572×body80nan
37.0ms550×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
72095
6679
5324
4182
388
241
125
015

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

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)))

rewrite186.0ms

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
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 → 77
Calls
4 calls:
12.0ms
(/ (* t t) 2.0)
116.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
6.0ms
(exp (/ (* t t) 2.0))
49.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (* t t) 2.0)
216.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms
(exp (/ (* t t) 2.0))
124.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
89 → 89
Iterations
IterNodes
done5001
22643
1479
0174

prune577.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (exp t) (/ t 2.0))
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)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity add-exp-log add-cube-cbrt
13×pow-unpow
11×associate-*r*
10×add-cbrt-cube prod-exp
9×times-frac
6×pow1 unpow-prod-down associate-*l/
4×pow-pow associate-*l* cbrt-unprod
3×pow-to-exp exp-prod pow-exp add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 77
Calls
3 calls:
5.0ms
(pow (exp t) (/ t 2.0))
76.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
31.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series428.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(pow (exp t) (/ t 2.0))
229.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
129.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts
86 → 86
Iterations
IterNodes
done5000
22465
1539
0185

prune532.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite427.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
26×pow-unpow
18×times-frac
17×pow1
15×add-cbrt-cube add-exp-log
14×associate-*r*
9×unpow-prod-down
8×pow-pow associate-*l/ sqrt-prod
7×pow-prod-down prod-exp cbrt-unprod
6×exp-prod
4×associate-*l* add-log-exp
3×sqr-pow
2×pow-to-exp flip3-- pow-exp *-commutative div-inv flip--
1×unswap-sqr
Counts
4 → 111
Calls
4 calls:
5.0ms
(pow (exp t) (/ t 2.0))
5.0ms
(pow (exp t) (/ t 2.0))
374.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
37.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(pow (exp t) (/ t 2.0))
53.0ms
(pow (exp t) (/ t 2.0))
256.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
140.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.9s

Counts
123 → 123
Iterations
IterNodes
done5003
22928
1596
0206

prune959.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite736.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1
25×add-sqr-sqrt add-cbrt-cube add-exp-log
22×associate-*r*
21×*-un-lft-identity add-cube-cbrt
14×pow-prod-down associate-*l/ prod-exp sqrt-prod cbrt-unprod
13×pow-unpow
9×times-frac
6×unpow-prod-down
5×associate-*l*
4×pow-pow add-log-exp
3×exp-prod flip3-- *-commutative flip--
2×unswap-sqr sqr-pow
1×pow-to-exp pow-exp div-inv
Counts
4 → 110
Calls
4 calls:
5.0ms
(pow (exp t) (/ t 2.0))
656.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
23.0ms
(* (- (* x 0.5) y) (sqrt z))
49.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series625.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(pow (exp t) (/ t 2.0))
280.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
81.0ms
(* (- (* x 0.5) y) (sqrt z))
182.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.6s

Counts
122 → 122
Iterations
IterNodes
done5001
23706
1663
0230

prune832.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.9s17704×body80nan
1.7s17939×body80valid