Details

Time bar (total: 8.0s)

sample33.0ms

Algorithm
intervals
Results
17.0ms298×body80valid

simplify1.0s

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

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)

rewrite173.0ms

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:
14.0ms
(- x (/ 16.0 116.0))
55.0ms
(* (- x (/ 16.0 116.0)) 3.0)
100.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series117.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- x (/ 16.0 116.0))
49.0ms
(* (- x (/ 16.0 116.0)) 3.0)
44.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.7s

Counts
115 → 115
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02172289
15032065
214621478
done50011219

prune218.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite85.0ms

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:
14.0ms
(- x (/ 16.0 116.0))
67.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- x (/ 16.0 116.0))
46.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.6s

Counts
90 → 90
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01942055
14671836
213201277
done50011018

prune252.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 116.0)
1.6b
(pow (cbrt 116.0) 3)
1.6b
(pow (cbrt 116.0) 3)
1.6b
(pow (cbrt 116.0) 3)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×unpow-prod-down cube-prod
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×cube-mult pow-to-exp unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 109
Calls
4 calls:
2.0ms
(cbrt 116.0)
6.0ms
(pow (cbrt 116.0) 3)
6.0ms
(pow (cbrt 116.0) 3)
7.0ms
(pow (cbrt 116.0) 3)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt 116.0)
0.0ms
(pow (cbrt 116.0) 3)
0.0ms
(pow (cbrt 116.0) 3)
0.0ms
(pow (cbrt 116.0) 3)

simplify2.0s

Counts
113 → 113
Iterations

Useful iterations: 4 (869.0ms)

IterNodesCost
058880
1132500
2263466
3715426
41973422
done5001422

prune344.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

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

rewrite97.0ms

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:
38.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
21.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
17.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
18.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series85.0ms