Details

Time bar (total: 45.2s)

sample180.0ms

Algorithm
intervals
Results
50.0ms518×body80nan
43.0ms547×body80valid

simplify4.7s

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

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize53.0ms

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)))

rewrite304.0ms

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:
22.0ms
(/ (* t t) 2.0)
180.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
98.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series617.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (* t t) 2.0)
392.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
184.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify3.2s

Counts
80 → 80
Iterations
IterNodes
done5002
21606
1463
0168

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

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))

rewrite626.0ms

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:
13.0ms
(/ (* t t) 2.0)
423.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
52.0ms
(* (- (* x 0.5) y) (sqrt z))
131.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series836.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (* t t) 2.0)
474.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
123.0ms
(* (- (* x 0.5) y) (sqrt z))
194.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify3.7s

Counts
115 → 115
Iterations
IterNodes
done5000
22022
1524
0194

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize89.0ms

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))))

rewrite288.0ms

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:
14.0ms
(sqrt (sqrt (* z 2.0)))
13.0ms
(sqrt (sqrt (* z 2.0)))
85.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
167.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
268.0ms
(sqrt (sqrt (* z 2.0)))
335.0ms
(sqrt (sqrt (* z 2.0)))
299.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
185.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify6.3s

Counts
107 → 107
Iterations
IterNodes
done5000
34768
21325
1387
0149

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize130.0ms

Local error

Found 4 expressions with local error:

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

rewrite554.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×sqrt-prod
28×associate-*r*
23×add-exp-log
17×*-un-lft-identity add-cube-cbrt
15×add-cbrt-cube
14×associate-*l*
12×prod-exp
10×pow1
9×unswap-sqr
6×cbrt-unprod
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 pow-prod-down
2×pow-to-exp sub-neg flip3-- prod-diff associate-*l/ pow-exp flip-- sqr-pow
Counts
4 → 122
Calls
4 calls:
26.0ms
(* y (sqrt (sqrt 2.0)))
19.0ms
(* x (sqrt (sqrt 2.0)))
191.0ms
(* (pow z 1/4) (- (* 0.5 (* x (sqrt (sqrt 2.0)))) (* y (sqrt (sqrt 2.0)))))
308.0ms
(* (* (pow z 1/4) (- (* 0.5 (* x (sqrt (sqrt 2.0)))) (* y (sqrt (sqrt 2.0))))) (sqrt (sqrt (* z 2.0))))

series2.0s

Counts
4 → 12
Calls
4 calls:
123.0ms
(* y (sqrt (sqrt 2.0)))
140.0ms
(* x (sqrt (sqrt 2.0)))
746.0ms
(* (pow z 1/4) (- (* 0.5 (* x (sqrt (sqrt 2.0)))) (* y (sqrt (sqrt 2.0)))))
1.0s
(* (* (pow z 1/4) (- (* 0.5 (* x (sqrt (sqrt 2.0)))) (* y (sqrt (sqrt 2.0))))) (sqrt (sqrt (* z 2.0))))

simplify4.8s

Counts
134 → 134
Iterations
IterNodes
done5000
22112
1643
0254

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes3.0s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample6.4s

Algorithm
intervals
Results
2.2s17891×body80nan
2.2s17934×body80valid