Details

Time bar (total: 5.9s)

sample25.0ms

Algorithm
intervals
Results
13.0ms294×body80valid

simplify753.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2319
3719
41369
52099
62769
73409
83779
93829
done3829

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
64.0ms
(* (- x (/ 16.0 116.0)) 3.0)
104.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series109.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (- x (/ 16.0 116.0)) 3.0)
46.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.7s

Counts
49 → 49
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
084540
1197532
2690444
32788444
done5002444

prune151.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
73.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
062322
1161319
2543259
32249259
done5001259

prune79.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize14.0ms

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))

rewrite111.0ms

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×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:
36.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
25.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
24.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
24.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series68.0ms