Details

sample19.0ms

Algorithm

intervals

Results

13.0ms

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

rewrite61.0ms

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:

5.0ms	(/ 1.0 (- x 1.0))
46.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ x (+ x 1.0))

series181.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1.0 (- x 1.0))
120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
34.0ms	(/ x (+ x 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	400	551
1	1470	525
2	5001	521

prune223.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
67×	`times-frac`
39×	`distribute-lft-out`
34×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`fma-def`
16×	`unpow-prod-down` `cube-prod`
13×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*` `difference-of-squares`
2×	`cube-mult` `unpow3` `div-inv` `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` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

44.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ x (+ x 1.0))
70.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
76.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series462.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
33.0ms	(/ x (+ x 1.0))
135.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
176.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify60.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	470	1012
1	1987	962
2	5001	956

prune296.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ x (+ x 1.0))) (cbrt (/ x (+ x 1.0))))
0.4b	(cbrt (/ x (+ x 1.0)))
0.4b	(cbrt (/ x (+ x 1.0)))
0.4b	(cbrt (/ x (+ x 1.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
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 → 188

Calls

4 calls:

39.0ms	(* (cbrt (/ x (+ x 1.0))) (cbrt (/ x (+ x 1.0))))
3.0ms	(cbrt (/ x (+ x 1.0)))
3.0ms	(cbrt (/ x (+ x 1.0)))
4.0ms	(cbrt (/ x (+ x 1.0)))

series596.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (/ x (+ x 1.0))) (cbrt (/ x (+ x 1.0))))
143.0ms	(cbrt (/ x (+ x 1.0)))
144.0ms	(cbrt (/ x (+ x 1.0)))
149.0ms	(cbrt (/ x (+ x 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	441	1950
1	1584	1863
2	5001	1765

prune501.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample495.0ms

Algorithm

intervals

Results

401.0ms

8000×

body

valid