Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

298×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.5b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite28.0ms

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:

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (- x (/ 16.0 116.0)) 3.0)
41.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify114.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (10.0ms)

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

prune109.0ms

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

localize7.0ms

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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify87.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (9.0ms)

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

prune58.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	29	7	36

Merged error: 0b

Counts

36 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.4b	(* y (- (* 3.0 x) 0.41379310344827586))

rewrite13.0ms

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))

series95.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* 3.0 x) 0.41379310344827586)
49.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify118.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (112.0ms)

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

prune91.0ms

Filtered

56 candidates to 33 candidates (58.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	57	6	63

Merged error: 0b

Counts

63 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (* 3.0 x)) (* y (- 0.41379310344827586)))
0.5b	(* y (* 3.0 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `distribute-rgt-neg-out` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 37

Calls

2 calls:

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

series80.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* y (* 3.0 x)) (* y (- 0.41379310344827586)))
23.0ms	(* y (* 3.0 x))

simplify159.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (154.0ms)

Iter	Nodes	Cost
0	189	194
1	804	163
2	4223	159
3	5001	158

prune69.0ms

Filtered

43 candidates to 28 candidates (65.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	43	6	49

Merged error: 0b

Counts

49 → 6

regimes76.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample440.0ms

Algorithm

intervals

Results

277.0ms

9188×

body

valid