Details

Time bar (total: 20.8s)

sample195.0ms

Algorithm
intervals
Results
60.0ms656×body80nan
48.0ms591×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12517
24117
38817
416117
526517
658717
7171717
done500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

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)))

rewrite163.0ms

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:
10.0ms
(/ (* t t) 2.0)
98.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
5.0ms
(exp (/ (* t t) 2.0))
48.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (* t t) 2.0)
226.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
27.0ms
(exp (/ (* t t) 2.0))
121.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01751210
14351141
21407988
done5000964

prune327.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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)))

rewrite187.0ms

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))
119.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
56.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series454.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(pow (exp t) (/ t 2.0))
269.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
135.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts
86 → 86
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01861303
14821202
215461087
done50011063

prune385.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
10×prod-exp add-cbrt-cube
9×times-frac
8×associate-*r*
7×unpow-prod-down associate-*l*
6×pow1
4×pow-pow cbrt-unprod
3×pow-to-exp exp-prod pow-exp add-log-exp unswap-sqr sqr-pow
2×associate-*l/ *-commutative
1×flip3-- pow-prod-down sqrt-prod flip-- div-inv
Counts
3 → 77
Calls
3 calls:
43.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
9.0ms
(pow (exp t) (/ t 2.0))
126.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

series498.0ms

Counts
3 → 9
Calls
3 calls:
158.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
71.0ms
(pow (exp t) (/ t 2.0))
269.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

simplify1.1s

Counts
86 → 86
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01971381
15181273
216251157
done50011115

prune366.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite514.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log
77×prod-exp
25×add-sqr-sqrt
22×cbrt-prod pow-exp
18×add-cbrt-cube
17×add-cube-cbrt *-un-lft-identity associate-*r*
16×pow-to-exp
13×pow1
10×associate-*l* cbrt-unprod
7×pow1/3
6×unpow-prod-down swap-sqr
4×add-log-exp unswap-sqr
3×pow-prod-down *-commutative
2×associate-*l/ pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus flip-- sqr-pow
Counts
4 → 121
Calls
4 calls:
2.0ms
(cbrt (exp t))
123.0ms
(* (* (sqrt (* z 2.0)) (pow (* (cbrt (exp t)) (cbrt (exp t))) (/ t 2.0))) (pow (cbrt (exp t)) (/ t 2.0)))
24.0ms
(* (cbrt (exp t)) (cbrt (exp t)))
360.0ms
(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (* (cbrt (exp t)) (cbrt (exp t))) (/ t 2.0))) (pow (cbrt (exp t)) (/ t 2.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (exp t))
464.0ms
(* (* (sqrt (* z 2.0)) (pow (* (cbrt (exp t)) (cbrt (exp t))) (/ t 2.0))) (pow (cbrt (exp t)) (/ t 2.0)))
119.0ms
(* (cbrt (exp t)) (cbrt (exp t)))
678.0ms
(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (* (cbrt (exp t)) (cbrt (exp t))) (/ t 2.0))) (pow (cbrt (exp t)) (/ t 2.0))))

simplify1.4s

Counts
133 → 133
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02433277
16412935
222542533
done50002239

prune536.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes592.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01930
12430
done2430

end0.0ms

sample6.8s

Algorithm
intervals
Results
2.4s17940×body80valid
2.2s17840×body80nan