Details

Time bar (total: 8.8s)

sample17.0ms

Algorithm
intervals
Results
6.0ms281×body80valid

simplify657.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2319
3739
41509
52319
63099
73799
84309
94439
104469
done4469

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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)

rewrite112.0ms

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-exp-log add-cbrt-cube
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 flip-- log1p-expm1-u div-inv
2×*-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 106
Calls
3 calls:
13.0ms
(- x (/ 16.0 116.0))
40.0ms
(* (- x (/ 16.0 116.0)) 3.0)
54.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series115.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- x (/ 16.0 116.0))
50.0ms
(* (- x (/ 16.0 116.0)) 3.0)
41.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.1s

Counts
115 → 115
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02172289
15032065
214621478
done50011219

prune184.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite70.0ms

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-exp-log add-cbrt-cube
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/ flip-- log1p-expm1-u distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 84
Calls
2 calls:
13.0ms
(- x (/ 16.0 116.0))
52.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- x (/ 16.0 116.0))
47.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.0s

Counts
90 → 90
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01942055
14671836
213201277
done50011018

prune125.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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)))
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))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
20×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×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 80
Calls
4 calls:
28.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
12.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
15.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
12.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series614.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
146.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
142.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
146.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify2.1s

Counts
92 → 92
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01761868
14341682
213021550
346961399
done50001398

prune541.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.6b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
5.1b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
10.2b
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite145.0ms

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×expm1-log1p-u flip3-- times-frac pow-prod-down associate-/r* flip-- log1p-expm1-u
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
11.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
26.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
45.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
59.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
78.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
57.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
69.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify802.0ms

Counts
105 → 105
Iterations

Useful iterations: done (798.0ms)

IterNodesCost
01512138
14032067
218531676
done50011674

prune230.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample399.0ms

Algorithm
intervals
Results
202.0ms9071×body80valid