Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify24.0ms

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

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: 0.1b

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)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ 0.253 (* x 0.12))
66.0ms	(* x (+ 0.253 (* x 0.12)))

simplify107.0ms

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

prune64.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

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))

series100.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (* x 0.253) (* x (* x 0.12)))
28.0ms	(* x (* x 0.12))

simplify90.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (86.0ms)

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

prune46.0ms

Filtered

36 candidates to 21 candidates (58.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* (pow x 2) 0.12))
0.1b	(* (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)

series95.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
25.0ms	(* (pow x 2) 0.12)

simplify163.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (159.0ms)

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

prune64.0ms

Filtered

44 candidates to 30 candidates (68.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (- 0.253 (* x 0.12)))
0.2b	(* (pow x 2) (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
0.3b	(* (* x 0.12) (* x 0.12))
28.3b	(/ (* (pow x 2) (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (* x (- 0.253 (* x 0.12))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
45×	`pow1`
32×	`add-cbrt-cube`
22×	`prod-exp`
18×	`pow-prod-down`
17×	`add-sqr-sqrt`
14×	`cbrt-unprod`
12×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r/` `div-exp` `associate-r*`
5×	`unswap-sqr`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `unpow-prod-down` `flip3--` `distribute-lft-in` `pow-sqr` `pow-prod-up` `flip--` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `*-commutative`
2×	`pow-plus` `associate-/r/` `associate-/l/` `unpow2` `sqr-pow`
1×	`pow2` `frac-2neg` `times-frac` `swap-sqr` `clear-num` `associate-/r` `div-inv` `associate-/l` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

5.0ms	(* x (- 0.253 (* x 0.12)))
8.0ms	(* (pow x 2) (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
6.0ms	(* (* x 0.12) (* x 0.12))
10.0ms	(/ (* (pow x 2) (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (* x (- 0.253 (* x 0.12))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* x (- 0.253 (* x 0.12)))
106.0ms	(* (pow x 2) (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
25.0ms	(* (* x 0.12) (* x 0.12))
180.0ms	(/ (* (pow x 2) (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (* x (- 0.253 (* x 0.12))))

simplify101.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	497	1040
1	2983	838
2	5001	838

prune184.0ms

Filtered

133 candidates to 70 candidates (52.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	133	4	137

Merged error: 0.0b

Counts

137 → 4

regimes32.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample370.0ms

Algorithm

intervals

Results

252.0ms

10637×

body

valid