Details

Time bar (total: 18.2s)

sample102.0ms

Algorithm
intervals
Results
26.0ms546×body80valid
24.0ms574×body80nan

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
24317
39217
418317
531517
665917
7186317
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

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)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube
7×add-exp-log add-sqr-sqrt associate-*r*
6×associate-*l/
5×add-cube-cbrt *-un-lft-identity
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 45
Calls
2 calls:
113.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
44.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series309.0ms

Counts
2 → 6
Calls
2 calls:
193.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
116.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.8s

Counts
51 → 51
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0129943
1342896
21154773
34725746
done5000746

prune187.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0)))
0.2b
(/ t (/ 2.0 t))
0.3b
(* (- (* x 0.5) y) (* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0))))

rewrite412.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
50×add-sqr-sqrt
48×add-cube-cbrt *-un-lft-identity
15×add-cbrt-cube
13×add-exp-log associate-/r*
10×pow1
6×associate-*l*
5×associate-*r* div-inv
4×pow-prod-down prod-exp cbrt-unprod
3×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* add-log-exp
2×associate-*l/ *-commutative
1×flip3-- frac-2neg clear-num sqrt-prod associate-/r/ flip-- unswap-sqr
Counts
3 → 115
Calls
3 calls:
106.0ms
(* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0)))
10.0ms
(/ t (/ 2.0 t))
291.0ms
(* (- (* x 0.5) y) (* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0))))

series359.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0)))
34.0ms
(/ t (/ 2.0 t))
214.0ms
(* (- (* x 0.5) y) (* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0))))

simplify1.3s

Counts
124 → 124
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02741895
16661780
223021583
done50011536

prune449.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp (/ t (/ 2.0 t))) (sqrt z))
0.2b
(/ t (/ 2.0 t))
0.3b
(* (- (* x 0.5) y) (* (* (exp (/ t (/ 2.0 t))) (sqrt z)) (sqrt 2.0)))
0.5b
(* (* (exp (/ t (/ 2.0 t))) (sqrt z)) (sqrt 2.0))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
75×times-frac
56×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
22×add-exp-log
20×pow1
13×associate-*r* associate-/r*
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*l* sqrt-prod
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp *-commutative associate-/l*
2×associate-*l/ unswap-sqr
1×flip3-- frac-2neg clear-num associate-/r/ flip--
Counts
4 → 144
Calls
4 calls:
94.0ms
(* (exp (/ t (/ 2.0 t))) (sqrt z))
10.0ms
(/ t (/ 2.0 t))
927.0ms
(* (- (* x 0.5) y) (* (* (exp (/ t (/ 2.0 t))) (sqrt z)) (sqrt 2.0)))
302.0ms
(* (* (exp (/ t (/ 2.0 t))) (sqrt z)) (sqrt 2.0))

series495.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (exp (/ t (/ 2.0 t))) (sqrt z))
29.0ms
(/ t (/ 2.0 t))
255.0ms
(* (- (* x 0.5) y) (* (* (exp (/ t (/ 2.0 t))) (sqrt z)) (sqrt 2.0)))
134.0ms
(* (* (exp (/ t (/ 2.0 t))) (sqrt z)) (sqrt 2.0))

simplify1.5s

Counts
156 → 156
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03052494
17492318
226682046
done50002019

prune546.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-cbrt-cube
16×add-exp-log
15×associate-*r*
13×add-sqr-sqrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
5×associate-*l*
3×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
3 → 76
Calls
3 calls:
206.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
35.0ms
(* (- (* x 0.5) y) (sqrt z))
66.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series463.0ms

Counts
3 → 9
Calls
3 calls:
238.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
70.0ms
(* (- (* x 0.5) y) (sqrt z))
156.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1000.0ms

Counts
85 → 85
Iterations

Useful iterations: done (997.0ms)

IterNodesCost
01551476
13991371
214611175
done50011141

prune255.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes602.0ms

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

sample3.2s

Algorithm
intervals
Results
1.0s17934×body80nan
781.0ms17770×body80valid