Details

Time bar (total: 22.1s)

sample181.0ms

Algorithm
intervals
Results
69.0ms598×body80nan
41.0ms588×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
12617
24317
39217
418317
531517
665917
7186317
done500017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 3 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)))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×frac-2neg clear-num sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 68
Calls
3 calls:
20.0ms
(/ (* t t) 2.0)
149.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
51.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series419.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* t t) 2.0)
253.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
131.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01661141
14251087
21419934
done5000907

prune281.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (pow t 2) 2.0)
0.0b
(* (exp (/ (pow t 2) 2.0)) (sqrt (* z 2.0)))
0.3b
(* (- (* x 0.5) y) (* (exp (/ (pow t 2) 2.0)) (sqrt (* z 2.0))))

rewrite449.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×times-frac
23×add-cube-cbrt *-un-lft-identity
13×add-exp-log
12×unpow-prod-down add-cbrt-cube
10×pow1
8×associate-/l*
6×associate-*l*
5×associate-*r*
4×pow-prod-down prod-exp cbrt-unprod unpow2 sqr-pow
3×expm1-log1p-u div-exp associate-/r* log1p-expm1-u add-log-exp
2×associate-*l/ *-commutative
1×cbrt-undiv pow-to-exp flip3-- frac-2neg pow-exp clear-num sqrt-prod flip-- div-inv unswap-sqr
Counts
3 → 94
Calls
3 calls:
9.0ms
(/ (pow t 2) 2.0)
116.0ms
(* (exp (/ (pow t 2) 2.0)) (sqrt (* z 2.0)))
320.0ms
(* (- (* x 0.5) y) (* (exp (/ (pow t 2) 2.0)) (sqrt (* z 2.0))))

series455.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (pow t 2) 2.0)
138.0ms
(* (exp (/ (pow t 2) 2.0)) (sqrt (* z 2.0)))
286.0ms
(* (- (* x 0.5) y) (* (exp (/ (pow t 2) 2.0)) (sqrt (* z 2.0))))

simplify1.2s

Counts
103 → 103
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02221544
15191448
215911251
done50011209

prune471.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 99
Calls
4 calls:
17.0ms
(/ (* t t) 2.0)
207.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
32.0ms
(* (- (* x 0.5) y) (sqrt z))
62.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series590.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* t t) 2.0)
277.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
103.0ms
(* (- (* x 0.5) y) (sqrt z))
181.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.3s

Counts
111 → 111
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01901674
14791562
217021336
done50001302

prune473.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize30.0ms

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

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
61×pow1
55×add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
20×associate-*l/
19×associate-*r*
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod associate-*l*
4×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 123
Calls
4 calls:
1.2s
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
58.0ms
(* (- (* x 0.5) y) (sqrt z))
397.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
107.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
347.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
96.0ms
(* (- (* x 0.5) y) (sqrt z))
228.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
579.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify1.5s

Counts
135 → 135
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02173331
15743118
222962237
done50001953

prune413.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes681.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01617
12017
done2017

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.1s17919×body80valid
1.9s17820×body80nan