Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	271×	body	80	valid
10.0ms	241×	body	80	nan

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	190	7
3	412	7
4	644	7
5	1083	7
6	1628	7
7	2273	7
8	3723	7
9	5001	7

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: 0.4b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
4.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))

series150.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ 1.0 (* x 9.0)))
16.0ms	(/ 1.0 (* x 9.0))
66.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
39.0ms	(* 3.0 (sqrt x))

simplify81.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	594	1130
1	2890	878
2	5001	872

prune238.0ms

Filtered

131 candidates to 75 candidates (57.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	119	12	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	12	132

Merged error: 0.0b

Counts

132 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
24×	`prod-diff`
22×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 96

Calls

3 calls:

6.0ms	(+ y (/ 0.1111111111111111 x))
14.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
5.0ms	(* 3.0 (sqrt x))

series130.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ y (/ 0.1111111111111111 x))
61.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
41.0ms	(* 3.0 (sqrt x))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	511	953
1	2288	720
2	5003	712

prune161.0ms

Filtered

105 candidates to 55 candidates (52.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	105	12	117

Merged error: 0.0b

Counts

117 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.2b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b	(/ 1.0 (* x 9.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
75×	`distribute-rgt-in` `distribute-lft-in`
72×	`prod-diff`
59×	`add-sqr-sqrt`
53×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 181

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
14.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
4.0ms	(/ 1.0 (* x 9.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
60.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
65.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms	(/ 1.0 (* x 9.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	633	2404
1	2663	1754
2	5002	1748

prune218.0ms

Filtered

193 candidates to 84 candidates (43.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	194	11	205

Merged error: 0.0b

Counts

205 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma 0.1111111111111111 (/ 1 x) y)
0.2b	(* 3.0 (* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0)))
0.3b	(* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

60×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`fma-udef`
6×	`sub-neg` `associate-r/` `associate-r*` `associate--l+`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 132

Calls

3 calls:

1.0ms	(fma 0.1111111111111111 (/ 1 x) y)
13.0ms	(* 3.0 (* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0)))
8.0ms	(* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))

series215.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(fma 0.1111111111111111 (/ 1 x) y)
93.0ms	(* 3.0 (* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0)))
96.0ms	(* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	486	1768
1	1812	1277
2	5001	1271

prune146.0ms

Filtered

141 candidates to 59 candidates (41.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	141	11	152

Merged error: 0.0b

Counts

152 → 11

regimes119.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

376.0ms	8554×	body	80	valid
359.0ms	8443×	body	80	nan