Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
14×	`add-sqr-sqrt`
8×	`associate-r`
7×	`*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-cube-cbrt`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative`
1×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 39

Calls

1 calls:

10.0ms

(* (* x y) (- 1.0 y))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (* x y) (- 1.0 y))

simplify35.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	203	199
1	940	173
2	5002	173

prune70.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(* (* x (* (cbrt y) (cbrt y))) (* (cbrt y) (- 1.0 y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

177×	`add-sqr-sqrt`
108×	`unswap-sqr`
63×	`cbrt-prod`
61×	`add-cbrt-cube`
59×	`associate-l`
57×	`cbrt-unprod`
56×	`associate-r`
25×	`pow1` `add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
15×	`pow-prod-down` `prod-exp`
14×	`swap-sqr`
8×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
4×	`sub-neg` `associate-*r/` `add-log-exp`
3×	`pow1/3`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 173

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
40.0ms	(* (* x (* (cbrt y) (cbrt y))) (* (cbrt y) (- 1.0 y)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
194.0ms	(cbrt y)
189.0ms	(cbrt y)
96.0ms	(* (* x (* (cbrt y) (cbrt y))) (* (cbrt y) (- 1.0 y)))

simplify130.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	756	1953
1	4139	1503
2	5001	1387

prune353.0ms

Filtered

185 candidates to 111 candidates (60.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	185	7	192

Merged error: 0.0b

Counts

192 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
3.4b	(* (* x 1) (* y (- 1.0 y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
27×	`associate-r`
22×	`associate-l`
21×	`add-exp-log`
17×	`*-un-lft-identity` `unswap-sqr`
16×	`pow1` `add-cbrt-cube`
14×	`prod-exp`
10×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
9×	`pow-prod-down` `cbrt-unprod`
6×	`sub-neg` `associate-*r/`
4×	`*-commutative`
2×	`flip3--` `1-exp` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 91

Calls

2 calls:

6.0ms	(* y (- 1.0 y))
16.0ms	(* (* x 1) (* y (- 1.0 y)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* y (- 1.0 y))
45.0ms	(* (* x 1) (* y (- 1.0 y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	397	461
1	1641	397
2	5001	395

prune132.0ms

Filtered

97 candidates to 51 candidates (52.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* y (- (* 1.0 1.0) (* y y)))
3.4b	(* (* x 1) (/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
6.8b	(/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

730×	`add-sqr-sqrt`
540×	`associate-r`
435×	`*-un-lft-identity`
342×	`times-frac`
275×	`difference-of-squares`
141×	`unswap-sqr`
132×	`swap-sqr`
125×	`add-cube-cbrt`
123×	`*-commutative`
94×	`associate-l`
86×	`distribute-lft-out` `associate-/l*`
57×	`associate-*r/`
55×	`distribute-lft-out--`
40×	`add-exp-log`
31×	`add-cbrt-cube`
20×	`prod-exp`
13×	`cbrt-unprod`
10×	`pow1`
8×	`div-exp` `associate-/r*`
6×	`cbrt-undiv`
4×	`pow-prod-down` `associate-/r/` `associate-/l/`
3×	`flip3--` `1-exp` `clear-num` `un-div-inv` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `flip-+` `div-inv`

Counts

3 → 561

Calls

3 calls:

23.0ms	(* y (- (* 1.0 1.0) (* y y)))
96.0ms	(* (* x 1) (/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
36.0ms	(/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series314.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* y (- (* 1.0 1.0) (* y y)))
114.0ms	(* (* x 1) (/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
124.0ms	(/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify74.0ms

Algorithm

egg-herbie

Counts

570 → 570

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1416	4116
1	5002	3892

prune785.0ms

Filtered

570 candidates to 214 candidates (37.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	570	0	570
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	570	8	578

Merged error: 0.0b

Counts

578 → 8

regimes75.0ms

Accuracy

0% (0.1b 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	8	3
1	8	3

end0.0ms

sample364.0ms

Algorithm

intervals

Results

204.0ms

10498×

body

valid