Details

sample18.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 24.975616%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

6.0ms

256×

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

prune2.0ms

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 3 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

2.0ms	(+ 0.253 (* x 0.12))
3.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series12.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ 0.253 (* x 0.12))
3.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
6.0ms	(* x (+ 0.253 (* x 0.12)))

simplify37.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	226	274
1	991	253
2	5002	253

prune81.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
0.1b	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
0.4b	(* (* x 0.12) (* x 0.12))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `swap-sqr` `clear-num`

Counts

4 → 120

Calls

4 calls:

4.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
10.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
8.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
6.0ms	(* (* x 0.12) (* x 0.12))

series32.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
12.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
9.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
3.0ms	(* (* x 0.12) (* x 0.12))

simplify86.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	440	1115
1	2474	934
2	5001	879

prune205.0ms

Filtered

85 candidates to 132 candidates (-55.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	132	7	139

Merged error: 0.0b

Counts

139 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12)))))
0.1b	(/ 1 (- 0.253 (* x 0.12)))
0.2b	(* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12))))
0.4b	(* (* x 0.12) (* x 0.12))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

51×	`pow1`
44×	`add-exp-log`
32×	`add-cbrt-cube`
28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt` `pow-prod-down` `prod-exp`
20×	`times-frac`
17×	`associate-r`
15×	`cbrt-unprod`
8×	`associate-r/` `associate-l*`
6×	`flip3--` `div-exp` `flip--`
4×	`frac-times` `associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r` `-commutative` `associate-/l*` `unswap-sqr`
2×	`pow-plus` `un-div-inv` `div-inv`
1×	`pow2` `pow-flip` `frac-2neg` `swap-sqr` `clear-num` `inv-pow` `difference-of-squares`

Counts

4 → 138

Calls

4 calls:

11.0ms	(* x (* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12)))))
4.0ms	(/ 1 (- 0.253 (* x 0.12)))
11.0ms	(* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12))))
6.0ms	(* (* x 0.12) (* x 0.12))

series30.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* x (* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12)))))
3.0ms	(/ 1 (- 0.253 (* x 0.12)))
9.0ms	(* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12))))
3.0ms	(* (* x 0.12) (* x 0.12))

simplify151.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	511	1197
1	3365	986
2	5003	871

prune174.0ms

Filtered

82 candidates to 150 candidates (-82.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	151	6	157

Merged error: 0.0b

Counts

157 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
0.0b	(+ (* 0.12 (pow x 2)) (* 0.253 x))
0.1b	(* 0.12 (pow x 2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `-un-lft-identity` `associate-r*`
6×	`add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 54

Calls

3 calls:

6.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
4.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
5.0ms	(* 0.12 (pow x 2))

series13.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
7.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
3.0ms	(* 0.12 (pow x 2))

simplify197.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (189.0ms)

Iter	Nodes	Cost
0	247	340
1	922	317
2	4573	311
3	5002	309

prune77.0ms

Filtered

41 candidates to 63 candidates (-53.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

regimes34.0ms

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

sample274.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 24.975616%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

188.0ms

8000×

body

valid

Details

sample18.0ms

simplify24.0ms

prune2.0ms

localize5.0ms

rewrite11.0ms

series12.0ms

simplify37.0ms

prune81.0ms

localize10.0ms

rewrite32.0ms

series32.0ms

simplify86.0ms

prune205.0ms

localize11.0ms

rewrite38.0ms

series30.0ms

simplify151.0ms

prune174.0ms

localize7.0ms

rewrite16.0ms

series13.0ms

simplify197.0ms

prune77.0ms

regimes34.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample274.0ms

Profiling