Details

Time bar (total: 30.3s)

sample153.0ms

Algorithm
intervals
Results
44.0ms523×body80valid
39.0ms521×body80nan

simplify2.6s

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
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)))

rewrite166.0ms

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 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 → 85
Calls
4 calls:
7.0ms
(exp (/ (* t t) 2.0))
11.0ms
(/ (* t t) 2.0)
109.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
35.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(exp (/ (* t t) 2.0))
41.0ms
(/ (* t t) 2.0)
209.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
133.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
97 → 97
Iterations
IterNodes
done5002
22568
1493
0182

prune810.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (* (* (sqrt z) (fma 0.5 x (- y))) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.3b
(* (sqrt z) (fma 0.5 x (- y)))
0.4b
(* (* (sqrt z) (fma 0.5 x (- y))) (sqrt 2.0))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
12×*-un-lft-identity associate-*r* add-cube-cbrt
11×prod-exp cbrt-unprod
10×pow-prod-down
8×associate-*l*
7×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* times-frac *-commutative
2×cbrt-undiv div-exp fma-udef unswap-sqr
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in div-inv associate-/l*
Counts
4 → 95
Calls
4 calls:
8.0ms
(/ (* t t) 2.0)
120.0ms
(* (* (* (sqrt z) (fma 0.5 x (- y))) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
16.0ms
(* (sqrt z) (fma 0.5 x (- y)))
41.0ms
(* (* (sqrt z) (fma 0.5 x (- y))) (sqrt 2.0))

series689.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* t t) 2.0)
287.0ms
(* (* (* (sqrt z) (fma 0.5 x (- y))) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
101.0ms
(* (sqrt z) (fma 0.5 x (- y)))
269.0ms
(* (* (sqrt z) (fma 0.5 x (- y))) (sqrt 2.0))

simplify2.0s

Counts
107 → 107
Iterations
IterNodes
done5001
23555
1568
0203

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
52×pow1
47×add-exp-log
36×add-cbrt-cube
34×pow-prod-down prod-exp cbrt-unprod
21×associate-*r*
13×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
7×sqrt-prod
6×cbrt-prod
4×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
2×fma-udef unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
4 → 111
Calls
4 calls:
1.9s
(* (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (fma x 0.5 (- y))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
116.0ms
(* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (fma x 0.5 (- y)))
30.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z))
438.0ms
(* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (fma x 0.5 (- y))) (cbrt (sqrt 2.0)))

series1.9s

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (fma x 0.5 (- y))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
947.0ms
(* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (fma x 0.5 (- y)))
285.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z))
348.0ms
(* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (fma x 0.5 (- y))) (cbrt (sqrt 2.0)))

simplify2.5s

Counts
123 → 123
Iterations
IterNodes
done5000
24411
1719
0248

prune935.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (* (fma x 0.5 (- y)) (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
0.2b
(* (fma x 0.5 (- y)) (cbrt (sqrt 2.0)))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z))
0.3b
(* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (* (fma x 0.5 (- y)) (cbrt (sqrt 2.0))))

rewrite698.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
54×add-exp-log
44×add-cbrt-cube
41×pow-prod-down prod-exp cbrt-unprod
19×add-sqr-sqrt associate-*r*
11×*-un-lft-identity add-cube-cbrt
8×cbrt-prod sqrt-prod
6×associate-*l*
5×unswap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
4 → 118
Calls
4 calls:
497.0ms
(* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (* (fma x 0.5 (- y)) (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
9.0ms
(* (fma x 0.5 (- y)) (cbrt (sqrt 2.0)))
34.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z))
152.0ms
(* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (* (fma x 0.5 (- y)) (cbrt (sqrt 2.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
277.0ms
(* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (* (fma x 0.5 (- y)) (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
325.0ms
(* (fma x 0.5 (- y)) (cbrt (sqrt 2.0)))
298.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z))
311.0ms
(* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt z)) (* (fma x 0.5 (- y)) (cbrt (sqrt 2.0))))

simplify2.0s

Counts
130 → 130
Iterations
IterNodes
done5001
23683
1649
0229

prune836.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes1.6s

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
done19
119
015

end0.0ms

sample6.7s

Algorithm
intervals
Results
2.4s17352×body80nan
2.3s17490×body80valid