Details

Time bar (total: 14.3s)

sample84.0ms

Algorithm
intervals
Results
25.0ms534×body80nan
24.0ms559×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12517
24017
37817
413517
523517
655017
7154417
8476217
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

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))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
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 flip-- div-inv
1×frac-2neg clear-num sqrt-prod rem-exp-log associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
38.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* t t) 2.0)
161.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
22.0ms
(exp (/ (* t t) 2.0))
107.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify607.0ms

Counts
89 → 89
Iterations

Useful iterations: done (605.0ms)

IterNodesCost
01751210
14381141
21479988
done5000964

prune280.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
11×associate-*r*
10×prod-exp add-cbrt-cube
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:
6.0ms
(pow (exp t) (/ t 2.0))
33.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series343.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(pow (exp t) (/ t 2.0))
190.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
107.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify708.0ms

Counts
86 → 86
Iterations

Useful iterations: done (704.0ms)

IterNodesCost
01861303
14971202
216131087
done50001063

prune299.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)) (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))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
24×add-sqr-sqrt
22×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×associate-*r*
13×pow-unpow
12×pow1 associate-*l/
10×cbrt-unprod
9×times-frac
7×sqrt-prod
6×unpow-prod-down
5×associate-*l*
4×pow-to-exp pow-pow pow-prod-down pow-exp add-log-exp
3×exp-prod flip3-- *-commutative flip--
2×unswap-sqr sqr-pow
1×div-inv
Counts
4 → 107
Calls
4 calls:
3.0ms
(pow (exp t) (/ t 2.0))
72.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
21.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series470.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(pow (exp t) (/ t 2.0))
222.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
63.0ms
(* (- (* x 0.5) y) (sqrt z))
134.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify848.0ms

Counts
119 → 119
Iterations

Useful iterations: done (845.0ms)

IterNodesCost
02101846
15611675
219721492
done50001486

prune383.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize19.0ms

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

rewrite537.0ms

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×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod pow-to-exp associate-*l* pow-exp
4×flip3-- *-commutative flip-- add-log-exp
3×unpow-prod-down
2×unswap-sqr
1×sqr-pow
Counts
4 → 125
Calls
4 calls:
382.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
108.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
30.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series854.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
142.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
57.0ms
(* (- (* x 0.5) y) (sqrt z))
432.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify929.0ms

Counts
137 → 137
Iterations

Useful iterations: done (925.0ms)

IterNodesCost
02373508
16583210
224832331
done50002323

prune368.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes384.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
11917
done1917

end0.0ms

sample2.5s

Algorithm
intervals
Results
778.0ms17884×body80valid
768.0ms17815×body80nan