Details

Time bar (total: 24.3s)

sample163.0ms

Algorithm
intervals
Results
55.0ms568×body80valid
45.0ms628×body80nan

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
72322
6746
5367
4204
392
243
126
015

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

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)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×add-sqr-sqrt pow1
8×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×expm1-log1p-u associate-/r* times-frac log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×clear-num frac-2neg sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 68
Calls
3 calls:
10.0ms
(/ (* t t) 2.0)
115.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
35.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series396.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (* t t) 2.0)
226.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
130.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts
77 → 77
Iterations
IterNodes
done5000
22375
1458
0165

prune517.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite517.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube add-exp-log
20×pow1
16×associate-*r*
14×add-sqr-sqrt
12×*-un-lft-identity associate-*l/ add-cube-cbrt
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×associate-/r* times-frac flip3-- *-commutative flip--
2×cbrt-undiv div-exp
1×clear-num frac-2neg div-inv associate-/l* unswap-sqr
Counts
4 → 99
Calls
4 calls:
15.0ms
(/ (* t t) 2.0)
82.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
380.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
34.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* t t) 2.0)
243.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
210.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
139.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.1s

Counts
111 → 111
Iterations
IterNodes
done5000
23373
1622
0218

prune591.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×*-un-lft-identity associate-*l/ add-cube-cbrt
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×associate-/r* times-frac flip3-- *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×clear-num frac-2neg div-inv associate-/l*
Counts
4 → 99
Calls
4 calls:
12.0ms
(/ (* t t) 2.0)
212.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
26.0ms
(* (- (* x 0.5) y) (sqrt z))
63.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series587.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (* t t) 2.0)
275.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
93.0ms
(* (- (* x 0.5) y) (sqrt z))
171.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.7s

Counts
111 → 111
Iterations
IterNodes
done5001
23240
1523
0190

prune676.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize39.0ms

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

rewrite1.2s

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×*-un-lft-identity add-cube-cbrt
7×sqrt-prod
6×cbrt-prod associate-*l*
4×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×unswap-sqr
Counts
4 → 123
Calls
4 calls:
817.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
286.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
26.0ms
(* (- (* x 0.5) y) (sqrt z))
82.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
151.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
81.0ms
(* (- (* x 0.5) y) (sqrt z))
541.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify2.0s

Counts
135 → 135
Iterations
IterNodes
done5000
23294
1599
0217

prune678.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.0s18127×body80nan
2.0s18226×body80valid