Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

293×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 9.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.7b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite50.0ms

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:

32.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series70.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (40.0ms)

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

prune114.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite53.0ms

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:

25.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
21.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series111.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
69.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (52.0ms)

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

prune275.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

59.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
242.0ms	(cbrt (+ (/ x y) 1.0))
247.0ms	(cbrt (+ (/ x y) 1.0))
247.0ms	(cbrt (+ (/ x y) 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	212	898
1	652	845
2	2526	772
3	5001	759

prune293.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0)))
0.2b	(* (/ x y) (/ x y))
4.3b	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
5.6b	(* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

144×	`add-sqr-sqrt`
142×	`*-un-lft-identity`
131×	`times-frac`
122×	`add-cube-cbrt`
78×	`prod-diff`
41×	`distribute-rgt-in` `distribute-lft-in`
35×	`associate-l`
32×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
13×	`pow1` `swap-sqr` `div-inv`
11×	`difference-of-squares`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/r/` `distribute-lft-out`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/l*`
6×	`flip3--` `flip--` `unswap-sqr`
5×	`frac-times` `associate-r/` `associate-/r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`
1×	`pow2` `flip3-+` `pow-plus` `pow-sqr` `pow-prod-up` `flip-+` `distribute-lft-out--`

Counts

4 → 273

Calls

4 calls:

19.0ms	(/ x (* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0)))
13.0ms	(* (/ x y) (/ x y))
19.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
76.0ms	(* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

series289.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ x (* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0)))
32.0ms	(* (/ x y) (/ x y))
76.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
102.0ms	(* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1235	4425
1	5002	3758

prune507.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample372.0ms

Algorithm

intervals

Results

230.0ms

9086×

body

valid