Details

Time bar (total: 20.6s)

sample164.0ms

Algorithm
intervals
Results
52.0ms562×body80valid
40.0ms574×body80nan

simplify3.2s

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: 0.2b

localize14.0ms

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

rewrite227.0ms

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:
13.0ms
(/ (* t t) 2.0)
156.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
55.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series371.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (* t t) 2.0)
219.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
111.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01661141
14251087
21419934
done5000907

prune371.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

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))

rewrite356.0ms

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:
15.0ms
(/ (* t t) 2.0)
244.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
31.0ms
(* (- (* x 0.5) y) (sqrt z))
61.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series621.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (* t t) 2.0)
289.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
95.0ms
(* (- (* x 0.5) y) (sqrt z))
198.0ms
(* (* (- (* 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

prune366.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
0.2b
(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
0.4b
(* (sqrt 2.0) (sqrt z))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×pow1 add-exp-log
20×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity pow-prod-down
11×prod-exp cbrt-unprod
10×associate-*r* associate-*l* sqrt-prod
6×associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×times-frac associate-/r* *-commutative
2×cbrt-undiv flip3-- sqrt-pow1 pow1/2 div-exp flip--
1×frac-2neg sqrt-unprod clear-num div-inv associate-/l*
Counts
4 → 102
Calls
4 calls:
19.0ms
(/ (* t t) 2.0)
158.0ms
(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
77.0ms
(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
19.0ms
(* (sqrt 2.0) (sqrt z))

series537.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* t t) 2.0)
219.0ms
(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
166.0ms
(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
118.0ms
(* (sqrt 2.0) (sqrt z))

simplify1.1s

Counts
114 → 114
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02001617
15151503
218451293
done50001250

prune466.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.1b
(sqrt (sqrt (* z 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.3b
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
19×pow1
17×add-sqr-sqrt
14×associate-*r*
12×sqrt-pow1
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×pow-prod-down associate-*l/
4×expm1-log1p-u pow1/2 associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-- *-commutative flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
8.0ms
(sqrt (sqrt (* z 2.0)))
8.0ms
(sqrt (sqrt (* z 2.0)))
68.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
144.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series788.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(sqrt (sqrt (* z 2.0)))
225.0ms
(sqrt (sqrt (* z 2.0)))
176.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
142.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify2.2s

Counts
103 → 103
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01471453
13851191
211981060
338891033
done50011029

prune420.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes720.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
11917
done1917

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.9s18231×body80nan
1.8s17896×body80valid