Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

303×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`add-cube-cbrt`
39×	`prod-diff`
29×	`times-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `flip--` `log1p-expm1-u` `div-inv`
2×	`*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 106

Calls

3 calls:

7.0ms	(- x (/ 16.0 116.0))
9.0ms	(* (- x (/ 16.0 116.0)) 3.0)
10.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series108.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- x (/ 16.0 116.0))
39.0ms	(* (- x (/ 16.0 116.0)) 3.0)
41.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	510	1245
1	1827	864
2	5001	783

prune141.0ms

Filtered

115 candidates to 60 candidates (52.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	109	6	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	6	116

Merged error: 0.0b

Counts

116 → 6

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)
7.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series97.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (* 3.0 x) 0.41379310344827586)
47.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify103.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (97.0ms)

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

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	56	6	62

Merged error: 0b

Counts

62 → 6

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

series93.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(fma 3.0 x (- 0.41379310344827586))
51.0ms	(* y (fma 3.0 x (- 0.41379310344827586)))

simplify37.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (4.0ms)

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

prune64.0ms

Filtered

38 candidates to 29 candidates (76.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0b

Counts

44 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
39×	`prod-diff`
38×	`add-cube-cbrt`
29×	`times-frac`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `flip--` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 84

Calls

2 calls:

7.0ms	(- x (/ 16.0 116.0))
10.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series62.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- x (/ 16.0 116.0))
40.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	474	1133
1	1545	766
2	5002	685

prune95.0ms

Filtered

90 candidates to 42 candidates (46.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	90	6	96

Merged error: 0b

Counts

96 → 6

regimes75.0ms

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

sample339.0ms

Algorithm

intervals

Results

201.0ms

9132×

body

valid