Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

359×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

6.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)

series96.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* (+ (* x y) z) y) t)
35.0ms	(* (+ (* x y) z) y)

simplify97.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	187	206
1	701	185
2	4076	182
3	5002	182

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series744.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt y) (cbrt y))
179.0ms	(cbrt y)
179.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune220.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* x y) z))
0.0b	(sqrt (+ (* x y) z))
0.1b	(* (sqrt (+ (* x y) z)) y)
0.2b	(* (sqrt (+ (* x y) z)) (* (sqrt (+ (* x y) z)) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

4.0ms	(sqrt (+ (* x y) z))
4.0ms	(sqrt (+ (* x y) z))
7.0ms	(* (sqrt (+ (* x y) z)) y)
12.0ms	(* (sqrt (+ (* x y) z)) (* (sqrt (+ (* x y) z)) y))

series253.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sqrt (+ (* x y) z))
69.0ms	(sqrt (+ (* x y) z))
77.0ms	(* (sqrt (+ (* x y) z)) y)
38.0ms	(* (sqrt (+ (* x y) z)) (* (sqrt (+ (* x y) z)) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	351	726
1	1267	624
2	5002	610

prune225.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
0.1b	(* (+ (* x y) z) (sqrt y))
0.2b	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`associate-*l/`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 58

Calls

3 calls:

10.0ms	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
7.0ms	(* (+ (* x y) z) (sqrt y))
10.0ms	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))

series190.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
56.0ms	(* (+ (* x y) z) (sqrt y))
49.0ms	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	293	480
1	1257	406
2	5001	396

prune140.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes146.0ms

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	12	4
1	12	4

end0.0ms

sample568.0ms

Algorithm

intervals

Results

302.0ms

11171×

body

valid