Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

6.0ms	(/ x (+ x 1.0))
43.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series190.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ x (+ x 1.0))
125.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
29.0ms	(/ 1.0 (- x 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5001	502

prune168.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
55×	`times-frac`
35×	`distribute-lft-out`
28×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
14×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`difference-of-squares`
3×	`pow-unpow` `cbrt-div` `flip3-+` `frac-add` `flip-+` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 124

Calls

4 calls:

43.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
69.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
5.0ms	(/ 1.0 (- x 1.0))
74.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series492.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
140.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
34.0ms	(/ 1.0 (- x 1.0))
185.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify58.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	461	1017
1	1977	974
2	5001	968

prune241.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
0.0b	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

204×	`*-un-lft-identity`
167×	`times-frac`
158×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
51×	`swap-sqr`
39×	`associate-r` `associate-l`
30×	`add-exp-log` `add-cbrt-cube`
29×	`distribute-lft-out--`
20×	`distribute-lft-out` `difference-of-squares`
18×	`pow1` `associate-/r/`
9×	`cbrt-undiv` `div-exp` `div-inv`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`flip3-+` `flip-+`
3×	`associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `frac-sub`

Counts

4 → 244

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
32.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
51.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
32.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (- x 1.0))
43.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
102.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
40.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1047	1994
1	5001	1826

prune589.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	15	19

end0.0ms

sample261.0ms

Algorithm

intervals

Results

176.0ms

8000×

body

valid