Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

285×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	73	4
3	151	4
4	241	4
5	326	4
6	397	4
7	457	4
8	477	4
9	480	4
10	480	4

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: 0.2b

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×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

8.0ms	(* (- x (/ 16.0 116.0)) 3.0)
10.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series77.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (- x (/ 16.0 116.0)) 3.0)
35.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify95.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	204	277
1	862	233
2	4488	233
3	5001	233

prune91.0ms

Filtered

53 candidates to 36 candidates (67.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 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))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

4.0ms	(- (* 3.0 x) 0.41379310344827586)
6.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series82.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* 3.0 x) 0.41379310344827586)
43.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify97.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	193	296
1	774	225
2	3395	216
3	5002	212

prune73.0ms

Filtered

56 candidates to 33 candidates (58.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	57	7	64

Merged error: 0b

Counts

64 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

1.0ms	(fma 3.0 x (- 0.41379310344827586))
4.0ms	(* y (fma 3.0 x (- 0.41379310344827586)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma 3.0 x (- 0.41379310344827586))
54.0ms	(* y (fma 3.0 x (- 0.41379310344827586)))

simplify41.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	89	162
1	371	140
2	1323	140
3	5001	140

prune63.0ms

Filtered

38 candidates to 28 candidates (73.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	38	7	45

Merged error: 0b

Counts

45 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite13.0ms

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×	`expm1-log1p-u` `flip3--` `times-frac` `associate-r` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

12.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify69.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	165	165
1	575	135
2	2608	135
3	5001	135

prune35.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	28	7	35

Merged error: 0b

Counts

35 → 7

regimes79.0ms

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	8	3
1	8	3

end0.0ms

sample402.0ms

Algorithm

intervals

Results

254.0ms

9124×

body

valid