Details

Time bar (total: 15.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms296×body80valid

simplify797.0ms

Counts
1 → 1
Iterations
IterNodes
done553
10553
9548
8525
7463
6378
5272
4170
374
231
115
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
45×*-un-lft-identity
41×add-cube-cbrt
39×prod-diff
29×times-frac
10×pow1 add-cbrt-cube add-exp-log
7×associate-*l*
6×associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×expm1-log1p-u flip3-- fma-neg log1p-expm1-u div-inv flip--
2×*-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 106
Calls
3 calls:
11.0ms
(- x (/ 16.0 116.0))
67.0ms
(* (- x (/ 16.0 116.0)) 3.0)
66.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series145.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- x (/ 16.0 116.0))
70.0ms
(* (- x (/ 16.0 116.0)) 3.0)
46.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.3s

Counts
115 → 115
Iterations
IterNodes
done5000
22480
1531
0217

prune464.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
29×times-frac
7×pow1 add-cbrt-cube add-exp-log
6×associate-*l*
4×add-log-exp difference-of-squares
3×fma-neg pow-prod-down prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-- associate-*l/ log1p-expm1-u flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 84
Calls
2 calls:
22.0ms
(- x (/ 16.0 116.0))
83.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series94.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- x (/ 16.0 116.0))
54.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.9s

Counts
90 → 90
Iterations
IterNodes
done5000
21957
1489
0194

prune344.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt 116.0) (cbrt 116.0))
1.0b
(* (cbrt 116.0) (cbrt 116.0))
1.0b
(* (cbrt 116.0) (cbrt 116.0))
61.9b
(fma (/ -1 (* (cbrt 116.0) (cbrt 116.0))) (/ 16.0 (cbrt 116.0)) (/ (/ 16.0 (cbrt 116.0)) (* (cbrt 116.0) (cbrt 116.0))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
48×cbrt-prod
28×*-un-lft-identity add-cube-cbrt
25×pow1
18×pow1/3 swap-sqr associate-*r* associate-*l*
12×unswap-sqr
10×add-exp-log
6×pow-prod-down pow-sqr pow-prod-up
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
1×fma-udef
Counts
4 → 136
Calls
4 calls:
12.0ms
(* (cbrt 116.0) (cbrt 116.0))
10.0ms
(* (cbrt 116.0) (cbrt 116.0))
9.0ms
(* (cbrt 116.0) (cbrt 116.0))
0.0ms
(fma (/ -1 (* (cbrt 116.0) (cbrt 116.0))) (/ 16.0 (cbrt 116.0)) (/ (/ 16.0 (cbrt 116.0)) (* (cbrt 116.0) (cbrt 116.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(* (cbrt 116.0) (cbrt 116.0))
0.0ms
(* (cbrt 116.0) (cbrt 116.0))
0.0ms
(* (cbrt 116.0) (cbrt 116.0))
0.0ms
(fma (/ -1 (* (cbrt 116.0) (cbrt 116.0))) (/ 16.0 (cbrt 116.0)) (/ (/ 16.0 (cbrt 116.0)) (* (cbrt 116.0) (cbrt 116.0))))

simplify3.6s

Counts
140 → 140
Iterations
IterNodes
done5000
34372
2539
1130
067

prune797.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
0.3b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.3b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.3b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
74×associate-*l/
60×cbrt-div
30×flip3-- flip--
28×frac-times
23×pow1
12×pow1/3
9×add-exp-log pow-prod-up
8×associate-*r/
6×add-sqr-sqrt pow-plus
5×*-un-lft-identity add-cbrt-cube pow-prod-down add-cube-cbrt
4×cbrt-prod expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2
1×associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 99
Calls
4 calls:
67.0ms
(* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
11.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
10.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
27.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series785.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
240.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
194.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
177.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify1.7s

Counts
111 → 111
Iterations
IterNodes
done5000
21569
1435
0173

prune590.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes375.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample746.0ms

Algorithm
intervals
Results
514.0ms9128×body80valid