Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

326×

body

valid

simplify25.0ms

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 (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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 0.253 (* x 0.12)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(* x (+ 0.253 (* x 0.12)))

simplify103.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	144	117
1	680	103
2	3770	103
3	5002	103

prune49.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

localize6.0ms

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:

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

series93.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* x 0.253) (* x (* x 0.12)))
24.0ms	(* x (* x 0.12))

simplify92.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (89.0ms)

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

prune54.0ms

Filtered

36 candidates to 22 candidates (61.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0b

Counts

43 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* (pow x 2) 0.12))
0.2b	(* (pow x 2) 0.12)

rewrite10.0ms

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)

series99.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
28.0ms	(* (pow x 2) 0.12)

simplify171.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (167.0ms)

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

prune68.0ms

Filtered

44 candidates to 30 candidates (68.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	46	5	51

Merged error: 0b

Counts

51 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.253) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
0.1b	(* (sqrt 0.12) x)
0.1b	(* (sqrt 0.12) x)
0.3b	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

rewrite25.0ms

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)))
5.0ms	(* (sqrt 0.12) x)
5.0ms	(* (sqrt 0.12) x)
9.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

series263.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (* x 0.253) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
44.0ms	(* (sqrt 0.12) x)
38.0ms	(* (sqrt 0.12) x)
71.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (35.0ms)

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

prune125.0ms

Filtered

101 candidates to 53 candidates (52.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	102	4	106

Merged error: 0b

Counts

106 → 4

regimes17.0ms

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

sample302.0ms

Algorithm

intervals

Results

194.0ms

10662×

body

valid