Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

285×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	29	5
2	45	5
3	56	5
4	74	5
5	86	5
6	120	5
7	136	5
8	146	5
9	150	5
10	160	5
11	446	5
12	2695	5
13	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
11.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series78.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ (/ x y) 1.0))
50.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	306	352
1	1568	305
2	5001	304

prune142.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 150

Calls

2 calls:

21.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
23.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series131.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
77.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	504	1464
1	2390	1406
2	5002	1404

prune333.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
0.5b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.5b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.5b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

1062×	`times-frac`
1022×	`*-un-lft-identity`
641×	`cbrt-prod`
478×	`add-sqr-sqrt`
422×	`add-cube-cbrt`
264×	`distribute-lft-out`
134×	`swap-sqr`
74×	`associate-r` `associate-l`
49×	`associate-/r/`
28×	`div-inv`
21×	`flip3-+` `flip-+`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
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 → 567

Calls

4 calls:

188.0ms	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
13.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
16.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
14.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

series921.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
220.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
226.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
222.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify188.0ms

Algorithm

egg-herbie

Counts

579 → 579

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	960	10840
1	3711	10718
2	5001	10452

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
11.3b	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
40×	`*-un-lft-identity`
31×	`add-exp-log`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r*` `associate-/r/`
7×	`cbrt-undiv` `flip3-+` `flip-+` `distribute-lft-out` `associate-/l*`
6×	`pow1` `div-inv`
5×	`prod-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 124

Calls

3 calls:

28.0ms	(* x (+ (/ x y) 1.0))
23.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
19.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* x (+ (/ x y) 1.0))
48.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
84.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify72.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	493	1039
1	2692	905
2	5002	850

prune204.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample387.0ms

Algorithm

intervals

Results

238.0ms

9141×

body

valid