Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

288×

body

valid

simplify32.0ms

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: 0.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.4b	(* (* (- 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)

series78.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify90.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

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

prune97.0ms

Filtered

53 candidates to 36 candidates (67.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

9.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (5.0ms)

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

prune53.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	27	9	36

Merged error: 0.0b

Counts

36 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* (- x (/ 16.0 116.0)) 3.0) (* (cbrt y) (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`flip3--` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

4 → 65

Calls

4 calls:

13.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) (* (cbrt y) (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series644.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) (* (cbrt y) (cbrt y)))
168.0ms	(cbrt y)
173.0ms	(cbrt y)
168.0ms	(cbrt y)

simplify33.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	249	415
1	989	321
2	5001	304

prune171.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	77	9	86

Merged error: 0.0b

Counts

86 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* (- x (/ 16.0 116.0)) 3.0) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`flip3--` `associate-l` `*-commutative` `flip--`

Counts

4 → 64

Calls

4 calls:

10.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series636.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) (cbrt y))
170.0ms	(cbrt y)
193.0ms	(cbrt y)
168.0ms	(cbrt y)

simplify119.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	213	325
1	880	289
2	4741	275
3	5001	275

prune166.0ms

Filtered

76 candidates to 62 candidates (81.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

regimes156.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample331.0ms

Algorithm

intervals

Results

194.0ms

9035×

body

valid