Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

293×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	71	4
3	136	4
4	211	4
5	285	4
6	350	4
7	396	4
8	408	4
9	408	4

prune2.0ms

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

8.0ms	(* (- x (/ 16.0 116.0)) 3.0)
9.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* (- x (/ 16.0 116.0)) 3.0)
5.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify87.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	197	259
1	849	215
2	4422	215
3	5001	215

prune80.0ms

Filtered

32 candidates to 49 candidates (-53.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	8	50

Merged error: 0b

Counts

50 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.1b	(* y (- (* 3.0 x) 0.41379310344827586))

rewrite10.0ms

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×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(- (* 3.0 x) 0.41379310344827586)
6.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(- (* 3.0 x) 0.41379310344827586)
6.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify51.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	137	189
1	512	167
2	1828	166
3	5001	166

prune60.0ms

Filtered

26 candidates to 42 candidates (-61.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	42	8	50

Merged error: 0b

Counts

50 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

12.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify67.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	161	155
1	566	125
2	2546	125
3	5002	125

prune40.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	26	8	34

Merged error: 0b

Counts

34 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.2b	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
0.7b	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
13×	`add-sqr-sqrt`
12×	`associate-*l/`
10×	`associate-r`
9×	`*-un-lft-identity`
8×	`associate-l`
7×	`add-cube-cbrt`
3×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

12.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
16.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
14.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series33.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
10.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
12.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	333	777
1	1671	584
2	5002	540

prune110.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Merged error: 0b

Counts

93 → 8

regimes180.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample494.0ms

Algorithm

intervals

Results

258.0ms

9136×

body

valid

Details

sample18.0ms

simplify25.0ms

prune2.0ms

localize6.0ms

rewrite19.0ms

series9.0ms

simplify87.0ms

prune80.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify51.0ms

prune60.0ms

localize6.0ms

rewrite12.0ms

series6.0ms

simplify67.0ms

prune40.0ms

localize13.0ms

rewrite44.0ms

series33.0ms

simplify55.0ms

prune110.0ms

regimes180.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample494.0ms

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