Details

Time bar (total: 22.5s)

sample160.0ms

Algorithm
intervals
Results
60.0ms572×body80nan
42.0ms550×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5001
71375
6508
5273
4176
391
240
125
015

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

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)))

rewrite167.0ms

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)
107.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
7.0ms
(exp (/ (* t t) 2.0))
39.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (* t t) 2.0)
243.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms
(exp (/ (* t t) 2.0))
125.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts
89 → 89
Iterations
IterNodes
done5001
21591
1479
0174

prune549.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite115.0ms

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)))
32.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series439.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(pow (exp t) (/ t 2.0))
237.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
118.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts
86 → 86
Iterations
IterNodes
done5000
21603
1530
0185

prune664.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite415.0ms

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:
9.0ms
(pow (exp t) (/ t 2.0))
10.0ms
(pow (exp t) (/ t 2.0))
355.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
36.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series561.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(pow (exp t) (/ t 2.0))
63.0ms
(pow (exp t) (/ t 2.0))
276.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
137.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts
123 → 123
Iterations
IterNodes
done5000
21932
1586
0206

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 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
(* (* (* (* (- (* 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))

rewrite702.0ms

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:
8.0ms
(pow (exp t) (/ t 2.0))
592.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
38.0ms
(* (- (* x 0.5) y) (sqrt z))
58.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series702.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(pow (exp t) (/ t 2.0))
351.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
92.0ms
(* (- (* x 0.5) y) (sqrt z))
202.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.8s

Counts
122 → 122
Iterations
IterNodes
done5002
22448
1650
0230

prune872.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes1.3s

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
done22
122
017

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.2s17939×body80valid
1.7s17704×body80nan