Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

295×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

13.0ms	(+ (+ (* x y) x) y)
3.0ms	(+ (* x y) x)

series48.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ (* x y) x) y)
30.0ms	(+ (* x y) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune50.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

20.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
2.0ms	(cbrt (+ (* x y) x))
2.0ms	(cbrt (+ (* x y) x))
2.0ms	(cbrt (+ (* x y) x))

series279.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
62.0ms	(cbrt (+ (* x y) x))
68.0ms	(cbrt (+ (* x y) x))
71.0ms	(cbrt (+ (* x y) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	346	1018
1	1249	963
2	5001	888

prune265.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* (* x y) (* x y)) (* x x))
14.6b	(/ (* (cbrt (- (* (* x y) (* x y)) (* x x))) (cbrt (- (* (* x y) (* x y)) (* x x)))) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
28.2b	(cbrt (- (* (* x y) (* x y)) (* x x)))
28.2b	(cbrt (- (* (* x y) (* x y)) (* x x)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

9.0ms	(- (* (* x y) (* x y)) (* x x))
41.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* x x))) (cbrt (- (* (* x y) (* x y)) (* x x)))) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
9.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))
9.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))

series743.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* (* x y) (* x y)) (* x x))
133.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* x x))) (cbrt (- (* (* x y) (* x y)) (* x x)))) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
361.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))
175.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	489	1568
1	1789	1302
2	5001	1246

prune336.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (sqrt (+ (* x y) x))) (sqrt (cbrt (+ (* x y) x))))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`cbrt-prod`
19×	`sqrt-prod`
18×	`cbrt-div`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-div`
9×	`flip3-+` `associate-r` `associate-l` `flip-+` `unswap-sqr`
6×	`pow1` `add-exp-log`
5×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/`
1×	`swap-sqr` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

24.0ms	(* (cbrt (sqrt (+ (* x y) x))) (sqrt (cbrt (+ (* x y) x))))
2.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))
2.0ms	(cbrt (+ (* x y) x))

series261.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (cbrt (sqrt (+ (* x y) x))) (sqrt (cbrt (+ (* x y) x))))
66.0ms	(cbrt (+ (* x y) x))
61.0ms	(cbrt (+ (* x y) x))
66.0ms	(cbrt (+ (* x y) x))

simplify82.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	290	1178
1	835	1140
2	3232	1044
3	5002	1036

prune349.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes54.0ms

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	8	3
1	8	3

end0.0ms

sample306.0ms

Algorithm

intervals

Results

163.0ms	9158×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid