Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

326×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	61	7
1	61	7

prune11.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5054	242

prune32.0ms

Filtered

15 candidates to 29 candidates (-93.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	5	31

Merged error: 0.0b

Counts

31 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* y 1.0)) (* x (* y (neg y))))
10.7b	(* x (* y (neg y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-neg-out`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+ (* x (* y 1.0)) (* x (* y (neg y))))
5.0ms	(* x (* y (neg y)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x (* y 1.0)) (* x (* y (neg y))))
7.0ms	(* x (* y (neg y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5578	302

prune41.0ms

Filtered

23 candidates to 39 candidates (-69.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	38	6	44

Merged error: 0.0b

Counts

44 → 6

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.0b	(* x (* y (- 1.0 y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

6.0ms	(* y (- 1.0 y))
7.0ms	(* x (* y (- 1.0 y)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* y (- 1.0 y))
6.0ms	(* x (* y (- 1.0 y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5103	457

prune53.0ms

Filtered

29 candidates to 60 candidates (-106.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y (* 1.0 1.0)) (pow y 3))
3.3b	(/ (- (* y (* 1.0 1.0)) (pow y 3)) (+ 1.0 y))
5.0b	(* x (/ (- (* y (* 1.0 1.0)) (pow y 3)) (+ 1.0 y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
33×	`times-frac`
28×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
22×	`associate-r`
10×	`add-exp-log` `cube-mult` `add-cbrt-cube` `distribute-lft-out--`
9×	`distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `associate-/r/` `associate-/l`
3×	`associate-l`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 95

Calls

3 calls:

9.0ms	(- (* y (* 1.0 1.0)) (pow y 3))
12.0ms	(/ (- (* y (* 1.0 1.0)) (pow y 3)) (+ 1.0 y))
15.0ms	(* x (/ (- (* y (* 1.0 1.0)) (pow y 3)) (+ 1.0 y)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(- (* y (* 1.0 1.0)) (pow y 3))
9.0ms	(/ (- (* y (* 1.0 1.0)) (pow y 3)) (+ 1.0 y))
19.0ms	(* x (/ (- (* y (* 1.0 1.0)) (pow y 3)) (+ 1.0 y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4978	1390
1	4978	1390

prune137.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

regimes130.0ms

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	7
1	8	7

end0.0ms

sample509.0ms

Algorithm

intervals

Results

240.0ms

10575×

body

valid

Details

sample18.0ms

simplify3.0ms

prune11.0ms

localize4.0ms

rewrite8.0ms

series7.0ms

simplify33.0ms

prune32.0ms

localize9.0ms

rewrite11.0ms

series17.0ms

simplify42.0ms

prune41.0ms

localize4.0ms

rewrite14.0ms

series11.0ms

simplify41.0ms

prune53.0ms

localize10.0ms

rewrite40.0ms

series35.0ms

simplify44.0ms

prune137.0ms

regimes130.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample509.0ms

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