Details

Time bar (total: 22.9s)

sample118.0ms

Algorithm
intervals
Results
47.0ms547×body80valid
36.0ms518×body80nan

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5001
71375
6508
5273
4176
391
240
125
015

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

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)))

rewrite177.0ms

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×associate-/r* times-frac insert-posit16 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 → 65
Calls
3 calls:
16.0ms
(/ (* t t) 2.0)
108.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
51.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series334.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (* t t) 2.0)
175.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
130.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts
74 → 74
Iterations
IterNodes
done5002
21514
1450
0162

prune441.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite358.0ms

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×insert-posit16 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 → 95
Calls
4 calls:
10.0ms
(/ (* t t) 2.0)
241.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
36.0ms
(* (- (* x 0.5) y) (sqrt z))
69.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series475.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* t t) 2.0)
232.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
77.0ms
(* (- (* x 0.5) y) (sqrt z))
137.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.6s

Counts
107 → 107
Iterations
IterNodes
done5001
21984
1516
0186

prune468.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize54.0ms

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

rewrite246.0ms

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×pow1/2 associate-*l* prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square flip3-- *-commutative flip-- unswap-sqr
Counts
4 → 87
Calls
4 calls:
7.0ms
(sqrt (sqrt (* z 2.0)))
7.0ms
(sqrt (sqrt (* z 2.0)))
66.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
163.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series897.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(sqrt (sqrt (* z 2.0)))
241.0ms
(sqrt (sqrt (* z 2.0)))
223.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
148.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify2.8s

Counts
99 → 99
Iterations
IterNodes
done5012
34495
21284
1374
0143

prune615.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt 2.0)) y)
0.2b
(* (* (sqrt (sqrt 2.0)) 0.5) x)
0.3b
(* (pow z 1/4) (- (* (* (sqrt (sqrt 2.0)) 0.5) x) (* (sqrt (sqrt 2.0)) y)))
0.4b
(* (* (pow z 1/4) (- (* (* (sqrt (sqrt 2.0)) 0.5) x) (* (sqrt (sqrt 2.0)) y))) (sqrt (sqrt (* z 2.0))))

rewrite448.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
25×add-sqr-sqrt
18×add-cbrt-cube associate-*l*
17×sqrt-prod
16×associate-*r*
14×*-un-lft-identity prod-exp add-cube-cbrt
13×pow1
8×cbrt-unprod
6×unswap-sqr
5×pow-prod-down
4×unpow-prod-down associate-*r/ *-commutative insert-posit16 add-log-exp
2×distribute-rgt-in pow-to-exp sub-neg distribute-lft-in flip3-- associate-*l/ pow-exp flip-- sqr-pow
Counts
4 → 104
Calls
4 calls:
17.0ms
(* (sqrt (sqrt 2.0)) y)
41.0ms
(* (* (sqrt (sqrt 2.0)) 0.5) x)
203.0ms
(* (pow z 1/4) (- (* (* (sqrt (sqrt 2.0)) 0.5) x) (* (sqrt (sqrt 2.0)) y)))
185.0ms
(* (* (pow z 1/4) (- (* (* (sqrt (sqrt 2.0)) 0.5) x) (* (sqrt (sqrt 2.0)) y))) (sqrt (sqrt (* z 2.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (sqrt (sqrt 2.0)) y)
159.0ms
(* (* (sqrt (sqrt 2.0)) 0.5) x)
455.0ms
(* (pow z 1/4) (- (* (* (sqrt (sqrt 2.0)) 0.5) x) (* (sqrt (sqrt 2.0)) y)))
834.0ms
(* (* (pow z 1/4) (- (* (* (sqrt (sqrt 2.0)) 0.5) x) (* (sqrt (sqrt 2.0)) y))) (sqrt (sqrt (* z 2.0))))

simplify1.9s

Counts
116 → 116
Iterations
IterNodes
done5001
22048
1620
0237

prune923.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes799.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.6s17891×body80nan
1.7s17934×body80valid