Details

Time bar (total: 14.9s)

sample34.0ms

Algorithm
intervals
Results
15.0ms335×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09204
127204
275204
3162204
4249204
5317204
6391204
7500204
8769204
91929204
done5000204

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
34.0ms
(* (* z z) (+ z 1.0))
44.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* (* z z) (+ z 1.0))
105.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.8s

Counts
61 → 61
Iterations

Useful iterations: done (1.8s)

IterNodesCost
011618701
137615086
2206913334
done500013259

prune325.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.1b
(/ x (* z z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 113
Calls
3 calls:
9.0ms
(/ y (+ z 1.0))
47.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
12.0ms
(/ x (* z z))

series129.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
59.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
34.0ms
(/ x (* z z))

simplify2.4s

Counts
122 → 122
Iterations

Useful iterations: done (2.4s)

IterNodesCost
018633214
153928536
2232926956
done500026631

prune660.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.6b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.2b
(* (/ x z) (/ y (+ z 1.0)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×associate-/r* pow-prod-down associate-*l/ associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg
Counts
3 → 155
Calls
3 calls:
17.0ms
(/ y (+ z 1.0))
64.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
51.0ms
(* (/ x z) (/ y (+ z 1.0)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
62.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
88.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify2.9s

Counts
164 → 164
Iterations

Useful iterations: done (2.9s)

IterNodesCost
026353512
177744537
2294840843
done500640428

prune816.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ z 1.0))
0.1b
(* y (/ 1 (+ z 1.0)))
0.6b
(* (/ 1 z) (* (/ x z) (* y (/ 1 (+ z 1.0)))))
3.2b
(* (/ x z) (* y (/ 1 (+ z 1.0))))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
251×add-exp-log
138×prod-exp
97×add-cbrt-cube
71×div-exp
51×*-un-lft-identity
46×cbrt-unprod
44×times-frac
43×add-sqr-sqrt
36×add-cube-cbrt
29×associate-*l*
24×cbrt-undiv
23×rec-exp 1-exp
21×pow1
20×associate-*r*
18×associate-*r/
11×frac-times
10×pow-prod-down
7×un-div-inv distribute-lft-out
4×expm1-log1p-u associate-/r* associate-*l/ associate-/r/ log1p-expm1-u div-inv add-log-exp
3×*-commutative associate-/l* unswap-sqr
2×flip3-+ flip-+
1×clear-num frac-2neg pow-flip inv-pow
Counts
4 → 225
Calls
4 calls:
9.0ms
(/ 1 (+ z 1.0))
23.0ms
(* y (/ 1 (+ z 1.0)))
141.0ms
(* (/ 1 z) (* (/ x z) (* y (/ 1 (+ z 1.0)))))
76.0ms
(* (/ x z) (* y (/ 1 (+ z 1.0))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 1 (+ z 1.0))
43.0ms
(* y (/ 1 (+ z 1.0)))
84.0ms
(* (/ 1 z) (* (/ x z) (* y (/ 1 (+ z 1.0)))))
82.0ms
(* (/ x z) (* y (/ 1 (+ z 1.0))))

simplify566.0ms

Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
033084866