Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

326×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

5.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify100.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	148	125
1	709	104
2	3945	101
3	5001	101

prune56.0ms

Filtered

27 candidates to 21 candidates (77.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	7	28

Merged error: 0.0b

Counts

28 → 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`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 35

Calls

2 calls:

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

series89.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* x 0.253) (* x (* x 0.12)))
23.0ms	(* x (* x 0.12))

simplify93.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	176	175
1	724	144
2	3393	141
3	5001	141

prune63.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Merged error: 0b

Counts

48 → 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)

rewrite13.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `fma-def` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 43

Calls

2 calls:

7.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
5.0ms	(* (pow x 2) 0.12)

series91.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
23.0ms	(* (pow x 2) 0.12)

simplify168.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (164.0ms)

Iter	Nodes	Cost
0	189	205
1	714	183
2	4427	181
3	5001	180

prune78.0ms

Filtered

49 candidates to 35 candidates (71.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	50	6	56

Merged error: 0b

Counts

56 → 6

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))

rewrite24.0ms

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×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `fma-def` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 98

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)
8.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

series261.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (* x 0.253) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
38.0ms	(* (sqrt 0.12) x)
43.0ms	(* (sqrt 0.12) x)
68.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	223	466
1	1056	385
2	5001	369

prune139.0ms

Filtered

110 candidates to 62 candidates (56.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	112	4	116

Merged error: 0b

Counts

116 → 4

regimes34.0ms

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

192.0ms

10662×

body

valid