Details

Time bar (total: 11.2s)

sample35.0ms

Algorithm
intervals
Results
15.0ms300×body80valid

simplify825.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2319
3729
41569
52479
63359
74119
84599
94749
104759
done4759

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

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)

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×associate-*l*
6×add-cube-cbrt associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×flip3-- flip--
2×times-frac *-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 58
Calls
3 calls:
21.0ms
(- x (/ 16.0 116.0))
62.0ms
(* (- x (/ 16.0 116.0)) 3.0)
109.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series161.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- x (/ 16.0 116.0))
70.0ms
(* (- x (/ 16.0 116.0)) 3.0)
62.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify928.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
098701
1231688
21132590
done5002590

prune203.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-- times-frac associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 38
Calls
2 calls:
11.0ms
(- x (/ 16.0 116.0))
75.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- x (/ 16.0 116.0))
50.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.8s

Counts
44 → 44
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
076483
1187475
2595405
32716405
done5001405

prune139.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
0.6b
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
0.6b
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
0.6b
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
99.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
82.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
78.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
55.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

series831.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
180.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
190.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
177.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01942309
15092138
218631972
done50011661

prune509.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.7b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
3.7b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
8.2b
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
9×add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* add-log-exp
5×associate-*l*
4×flip3-- times-frac pow-prod-down associate-/r* flip--
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
16.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
50.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
94.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
109.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series394.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
124.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
90.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
108.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify1.9s

Counts
95 → 95
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01401976
14091919
227481539
done50001533

prune324.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample810.0ms

Algorithm
intervals
Results
477.0ms9107×body80valid