Details

Time bar (total: 24.1s)

sample232.0ms

Algorithm
intervals
Results
100.0ms538×body80valid
83.0ms552×body80nan

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
71585
6613
5332
4198
395
242
126
015

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cube-cbrt
7×exp-prod associate-*r*
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down insert-posit16 log1p-expm1-u
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative div-inv flip--
1×clear-num frac-2neg sqrt-prod associate-/l* unswap-sqr rem-exp-log
Counts
4 → 89
Calls
4 calls:
134.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms
(/ (* t t) 2.0)
5.0ms
(exp (/ (* t t) 2.0))
47.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
44.0ms
(/ (* t t) 2.0)
20.0ms
(exp (/ (* t t) 2.0))
170.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts
101 → 101
Iterations
IterNodes
done5009
21678
1498
0186

prune625.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 2 expressions with local error:

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)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
11×associate-*r*
10×prod-exp
9×add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity associate-*l/ add-cube-cbrt
4×pow1 associate-*l* cbrt-unprod
3×unpow-prod-down
2×expm1-log1p-u pow-to-exp flip3-- pow-exp *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
1×pow-prod-down sqrt-prod unswap-sqr sqr-pow
Counts
2 → 53
Calls
2 calls:
99.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
48.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series349.0ms

Counts
2 → 6
Calls
2 calls:
215.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
134.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
59 → 59
Iterations
IterNodes
done5002
21161
1396
0150

prune255.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
19×pow1
17×add-sqr-sqrt
14×associate-*r*
12×sqrt-pow1
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×pow-prod-down associate-*l/
4×expm1-log1p-u pow1/2 associate-*l* prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-- *-commutative flip-- unswap-sqr
Counts
4 → 95
Calls
4 calls:
5.0ms
(sqrt (sqrt (* z 2.0)))
6.0ms
(sqrt (sqrt (* z 2.0)))
51.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
102.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series818.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(sqrt (sqrt (* z 2.0)))
242.0ms
(sqrt (sqrt (* z 2.0)))
210.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
128.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify2.3s

Counts
107 → 107
Iterations
IterNodes
done5000
34751
21342
1387
0149

prune530.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite403.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
25×associate-*r*
22×pow1
21×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
15×*-un-lft-identity add-cube-cbrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×expm1-log1p-u sqrt-pow1 insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip--
2×rem-sqrt-square pow1/2 unswap-sqr
Counts
4 → 111
Calls
4 calls:
3.0ms
(sqrt (sqrt z))
40.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
241.0ms
(* (* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z))) (sqrt (sqrt 2.0)))
116.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z)))

series921.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(sqrt (sqrt z))
169.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
346.0ms
(* (* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z))) (sqrt (sqrt 2.0)))
233.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z)))

simplify1.6s

Counts
123 → 123
Iterations
IterNodes
done5002
21911
1552
0215

prune757.0ms

Pruning

8 alts after pruning (6 fresh and 2 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

simplify4.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample8.1s

Algorithm
intervals
Results
3.5s17847×body80nan
3.2s17855×body80valid