Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

22.0ms	(/ x (+ x 1.0))
95.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
12.0ms	(/ 1.0 (- x 1.0))

series298.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ x (+ x 1.0))
202.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
51.0ms	(/ 1.0 (- x 1.0))

simplify2.7s

Counts

123 → 123

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	175	1183
1	399	1098
2	1020	1043
3	2298	1038
done	5000	1033

prune301.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
0.0b	(/ 1.0 (- x 1.0))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
66×	`times-frac`
49×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
25×	`distribute-lft-out`
21×	`fma-def`
13×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
7×	`difference-of-squares`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cube-div` `pow-unpow` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `frac-add` `clear-num` `flip--`
1×	`+-commutative` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `sum-log` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 152

Calls

4 calls:

12.0ms	(/ x (+ x 1.0))
89.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
175.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
23.0ms	(/ 1.0 (- x 1.0))

series512.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ x (+ x 1.0))
167.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
264.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
40.0ms	(/ 1.0 (- x 1.0))

simplify1.3s

Counts

164 → 164

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	217	2010
1	538	1804
2	1607	1705
done	5000	1700

prune474.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1.0 (- x 1.0))) (cbrt (/ 1.0 (- x 1.0))))
0.4b	(cbrt (/ 1.0 (- x 1.0)))
0.4b	(cbrt (/ 1.0 (- x 1.0)))
0.4b	(cbrt (/ 1.0 (- x 1.0)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

171×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
30×	`swap-sqr`
27×	`distribute-lft-out--`
24×	`associate-r` `associate-l`
21×	`difference-of-squares`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 206

Calls

4 calls:

93.0ms	(* (cbrt (/ 1.0 (- x 1.0))) (cbrt (/ 1.0 (- x 1.0))))
6.0ms	(cbrt (/ 1.0 (- x 1.0)))
6.0ms	(cbrt (/ 1.0 (- x 1.0)))
10.0ms	(cbrt (/ 1.0 (- x 1.0)))

series850.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (cbrt (/ 1.0 (- x 1.0))) (cbrt (/ 1.0 (- x 1.0))))
210.0ms	(cbrt (/ 1.0 (- x 1.0)))
219.0ms	(cbrt (/ 1.0 (- x 1.0)))
175.0ms	(cbrt (/ 1.0 (- x 1.0)))

simplify1.4s

Counts

218 → 218

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	275	3897
1	541	3573
2	1686	3421
done	5001	3293

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	16	29
done	16	29

end0.0ms

sample627.0ms

Algorithm

intervals

Results

449.0ms

8000×

body

valid