Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

6.0ms

(+ x (/ 1.0 3.0))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(+ x (/ 1.0 3.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	82	61
1	218	55
2	532	55
3	1514	55
4	5001	55

prune31.0ms

Filtered

20 candidates to 16 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	4	21

Merged error: 0b

Counts

21 → 4

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
0.0b	(+ x (/ 1.0 3.0))
0.1b	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
30×	`sqrt-prod`
20×	`pow1`
15×	`add-cube-cbrt`
14×	`sqrt-div`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
8×	`add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `fma-def` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log` `hypot-def`
1×	`pow2` `rem-sqrt-square` `times-frac` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

6.0ms	(sqrt (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))
6.0ms	(+ x (/ 1.0 3.0))
15.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series82.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(sqrt (+ x (/ 1.0 3.0)))
16.0ms	(+ x (/ 1.0 3.0))
17.0ms	(+ x (/ 1.0 3.0))
20.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify42.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	236	599
1	925	537
2	5002	521

prune157.0ms

Filtered

130 candidates to 76 candidates (58.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Merged error: 0b

Counts

134 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
1.2b	(exp (log (+ x (/ 1.0 3.0))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
8×	`log-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `exp-prod` `exp-sum`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`exp-diff` `log-pow`
1×	`+-commutative` `rem-log-exp` `sum-log` `rem-exp-log`

Counts

3 → 54

Calls

3 calls:

5.0ms	(log (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))
6.0ms	(exp (log (+ x (/ 1.0 3.0))))

series76.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(log (+ x (/ 1.0 3.0)))
16.0ms	(+ x (/ 1.0 3.0))
20.0ms	(exp (log (+ x (/ 1.0 3.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	196	278
1	539	253
2	1698	247
3	5001	236

prune94.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	63	4	67

Merged error: 0b

Counts

67 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
0.3b	(log (exp (+ x (/ 1.0 3.0))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
8×	`exp-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log-pow`
4×	`pow1` `log-prod`
3×	`add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
2×	`exp-sum` `sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `flip-+`

Counts

3 → 52

Calls

3 calls:

7.0ms	(exp (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))
7.0ms	(log (exp (+ x (/ 1.0 3.0))))

series52.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(exp (+ x (/ 1.0 3.0)))
22.0ms	(+ x (/ 1.0 3.0))
17.0ms	(log (exp (+ x (/ 1.0 3.0))))

simplify99.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	146	213
1	469	191
2	1206	189
3	3543	188
4	5001	188

prune82.0ms

Filtered

61 candidates to 42 candidates (68.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	61	4	65

Merged error: 0b

Counts

65 → 4

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample213.0ms

Algorithm

intervals

Results

130.0ms

8000×

body

valid