Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

338×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	23	3
2	30	3
3	31	3
4	31	3

prune1.0ms

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: 5.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.5b	(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* x (+ 1.0 (* y y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	148	123
1	742	103
2	3453	100
3	5001	100

prune57.0ms

Filtered

27 candidates to 22 candidates (81.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	8	28

Merged error: 5.6b

Counts

28 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

10.9b

(* x (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

5.0ms

(* x (* y y))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* x (* y y))

simplify100.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	88	81
1	292	66
2	832	66
3	2900	66
4	5002	66

prune40.0ms

Filtered

24 candidates to 14 candidates (58.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	26	6	32

Merged error: 0.0b

Counts

32 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* x y) y)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (* x y) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	97	78
1	468	63
2	2089	63
3	5001	62

prune35.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
17.7b	(cbrt (* (* x y) y))
17.7b	(cbrt (* (* x y) y))
17.7b	(cbrt (* (* x y) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

6.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
4.0ms	(cbrt (* (* x y) y))
4.0ms	(cbrt (* (* x y) y))
4.0ms	(cbrt (* (* x y) y))

series411.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
98.0ms	(cbrt (* (* x y) y))
96.0ms	(cbrt (* (* x y) y))
95.0ms	(cbrt (* (* x y) y))

simplify102.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	209	467
1	684	410
2	3048	353
3	5001	345

prune156.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

regimes143.0ms

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	11	4
1	11	4

end0.0ms

sample404.0ms

Algorithm

intervals

Results

235.0ms

10679×

body

valid

Details

sample15.0ms

simplify8.0ms

prune1.0ms

localize4.0ms

rewrite5.0ms

series51.0ms

simplify86.0ms

prune57.0ms

localize5.0ms

rewrite6.0ms

series30.0ms

simplify100.0ms

prune40.0ms

localize5.0ms

rewrite5.0ms

series30.0ms

simplify58.0ms

prune35.0ms

localize9.0ms

rewrite18.0ms

series411.0ms

simplify102.0ms

prune156.0ms

regimes143.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample404.0ms

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