Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
6.0ms	(* x (+ 0.253 (* x 0.12)))

simplify114.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	173
1	767	154
2	4026	154
3	5002	154

prune72.0ms

Filtered

39 candidates to 27 candidates (30.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite9.0ms

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`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

3.0ms	(+ (* x 0.253) (* x (* x 0.12)))
5.0ms	(* x (* x 0.12))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x 0.253) (* x (* x 0.12)))
3.0ms	(* x (* x 0.12))

simplify91.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	166	160
1	675	137
2	2995	134
3	5001	133

prune52.0ms

Filtered

36 candidates to 22 candidates (38.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	35	8	43

Merged error: 0.0b

Counts

43 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* (pow x 2) 0.12))
0.4b	(* (pow x 2) 0.12)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-l`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

3.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
5.0ms	(* (pow x 2) 0.12)

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
3.0ms	(* (pow x 2) 0.12)

simplify169.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (165.0ms)

Iter	Nodes	Cost
0	178	194
1	665	174
2	4106	168
3	5002	166

prune72.0ms

Filtered

44 candidates to 30 candidates (31.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	45	7	52

Merged error: 0b

Counts

52 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.253) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
0.2b	(* (sqrt 0.12) x)
0.2b	(* (sqrt 0.12) x)
0.3b	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

4.0ms	(+ (* x 0.253) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
4.0ms	(* (sqrt 0.12) x)
5.0ms	(* (sqrt 0.12) x)
8.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

series26.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x 0.253) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
4.0ms	(* (sqrt 0.12) x)
4.0ms	(* (sqrt 0.12) x)
7.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	211	424
1	1004	353
2	5002	345

prune109.0ms

Filtered

101 candidates to 53 candidates (47.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Merged error: 0b

Counts

108 → 7

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample410.0ms

Algorithm

intervals

Results

250.0ms

10658×

body

valid

Details

sample15.0ms

simplify23.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series9.0ms

simplify114.0ms

prune72.0ms

localize7.0ms

rewrite9.0ms

series9.0ms

simplify91.0ms

prune52.0ms

localize7.0ms

rewrite9.0ms

series9.0ms

simplify169.0ms

prune72.0ms

localize7.0ms

rewrite23.0ms

series26.0ms

simplify40.0ms

prune109.0ms

regimes40.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample410.0ms

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