Details

Time bar (total: 22.6s)

sample87.0ms

Algorithm
intervals
Results
30.0ms547×body80valid
28.0ms518×body80nan

simplify2.4s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

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)))

rewrite194.0ms

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 insert-posit16 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 → 71
Calls
3 calls:
10.0ms
(/ (* t t) 2.0)
125.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
57.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series357.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (* t t) 2.0)
195.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
126.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
done5000
21597
1463
0168

prune470.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite396.0ms

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 insert-posit16 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 → 103
Calls
4 calls:
11.0ms
(/ (* t t) 2.0)
258.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
40.0ms
(* (- (* x 0.5) y) (sqrt z))
85.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series463.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* t t) 2.0)
200.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
78.0ms
(* (- (* x 0.5) y) (sqrt z))
149.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.4s

Counts
115 → 115
Iterations
IterNodes
done5000
22044
1527
0194

prune533.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize33.0ms

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))))

rewrite163.0ms

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)))
5.0ms
(sqrt (sqrt (* z 2.0)))
41.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
111.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series739.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(sqrt (sqrt (* z 2.0)))
226.0ms
(sqrt (sqrt (* z 2.0)))
178.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
111.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify2.5s

Counts
107 → 107
Iterations
IterNodes
done5000
34751
21342
1387
0149

prune560.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

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

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×add-exp-log sqrt-prod
20×associate-*r* associate-*l*
18×add-cbrt-cube
16×*-un-lft-identity add-cube-cbrt
14×prod-exp
13×pow1
8×cbrt-unprod
6×unswap-sqr
5×pow-prod-down
4×expm1-log1p-u unpow-prod-down associate-*r/ *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in
2×pow-to-exp sub-neg flip3-- prod-diff associate-*l/ pow-exp flip-- sqr-pow
Counts
4 → 120
Calls
4 calls:
21.0ms
(* y (sqrt (sqrt 2.0)))
35.0ms
(* (sqrt (sqrt 2.0)) (* x 0.5))
129.0ms
(* (pow z 1/4) (- (* (sqrt (sqrt 2.0)) (* x 0.5)) (* y (sqrt (sqrt 2.0)))))
185.0ms
(* (* (pow z 1/4) (- (* (sqrt (sqrt 2.0)) (* x 0.5)) (* y (sqrt (sqrt 2.0))))) (sqrt (sqrt (* z 2.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
75.0ms
(* y (sqrt (sqrt 2.0)))
95.0ms
(* (sqrt (sqrt 2.0)) (* x 0.5))
721.0ms
(* (pow z 1/4) (- (* (sqrt (sqrt 2.0)) (* x 0.5)) (* y (sqrt (sqrt 2.0)))))
774.0ms
(* (* (pow z 1/4) (- (* (sqrt (sqrt 2.0)) (* x 0.5)) (* y (sqrt (sqrt 2.0))))) (sqrt (sqrt (* z 2.0))))

simplify1.8s

Counts
132 → 132
Iterations
IterNodes
done5003
22277
1655
0259

prune792.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes684.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.5s17891×body80nan
1.8s17934×body80valid