Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

293×

body

valid

simplify72.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 7.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
6.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`fma-def` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-r/` `associate-r` `associate-/r` `flip-+` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

7.0ms	(+ (/ x y) 1.0)
9.0ms	(* x (+ (/ x y) 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series87.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
26.0ms	(* x (+ (/ x y) 1.0))
50.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	313	417
1	1574	364
2	5002	363

prune163.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0b

Counts

91 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
79×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
13×	`fma-def`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 177

Calls

3 calls:

7.0ms	(+ (/ x y) 1.0)
13.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
13.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
68.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
42.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	511	1529
1	2397	1465
2	5002	1463

prune274.0ms

Filtered

186 candidates to 125 candidates (67.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	186	6	192

Merged error: 0b

Counts

192 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

6.9b	(/ (* x (fma (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y)) 1.0)) (+ x 1.0))
9.2b	(cbrt (/ x y))
9.2b	(cbrt (/ x y))
9.2b	(cbrt (/ x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
31×	`*-un-lft-identity` `times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
1×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

6.0ms	(/ (* x (fma (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y)) 1.0)) (+ x 1.0))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series365.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(/ (* x (fma (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y)) 1.0)) (+ x 1.0))
65.0ms	(cbrt (/ x y))
59.0ms	(cbrt (/ x y))
65.0ms	(cbrt (/ x y))

simplify56.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	462	1021
1	1787	903
2	5001	861

prune303.0ms

Filtered

111 candidates to 93 candidates (83.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	111	6	117

Merged error: 0b

Counts

117 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ x y) 1.0))
0.1b	(* x (sqrt (+ (/ x y) 1.0)))
0.1b	(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
3.8b	(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-div`
22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
15×	`flip3-+` `flip-+`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1` `add-cube-cbrt`
8×	`frac-times` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
5×	`times-frac` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-l/` `associate-/r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative` `hypot-def` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 116

Calls

4 calls:

7.0ms	(sqrt (+ (/ x y) 1.0))
10.0ms	(* x (sqrt (+ (/ x y) 1.0)))
17.0ms	(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
25.0ms	(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

series257.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (+ (/ x y) 1.0))
105.0ms	(* x (sqrt (+ (/ x y) 1.0)))
25.0ms	(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
47.0ms	(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	493	1078
1	2435	896
2	5002	868

prune228.0ms

Filtered

128 candidates to 87 candidates (68.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	128	6	134

Merged error: 0b

Counts

134 → 6

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample391.0ms

Algorithm

intervals

Results

237.0ms

9079×

body

valid