Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	296×	body	80	nan
8.0ms	270×	body	80	valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

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)))
5.0ms	(* 3.0 (sqrt x))
3.0ms	(/ 1.0 (* x 9.0))
84.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ 1.0 (* x 9.0)))
37.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))
68.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (64.0ms)

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

prune236.0ms

Filtered

131 candidates to 75 candidates (57.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`prod-diff`
20×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-r/` `associate--l+` `-commutative` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--` `difference-of-squares`

Counts

2 → 79

Calls

2 calls:

5.0ms	(* 3.0 (sqrt x))
106.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

series103.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* 3.0 (sqrt x))
66.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	448	891
1	2100	662
2	5003	654

prune128.0ms

Filtered

85 candidates to 40 candidates (47.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

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)))
94.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))
97.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ 1.0 (* x 9.0)))
55.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms	(/ 1.0 (* x 9.0))
60.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify82.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	633	2404
1	2665	1754
2	5002	1748

prune253.0ms

Filtered

193 candidates to 84 candidates (43.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.4b	(* (cbrt 3.0) (sqrt x))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
41×	`add-exp-log`
36×	`pow1`
35×	`add-sqr-sqrt`
28×	`add-cbrt-cube`
25×	`add-cube-cbrt`
24×	`prod-diff`
23×	`prod-exp` `cbrt-unprod`
22×	`pow-prod-down`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
8×	`associate-l`
7×	`distribute-lft-out`
5×	`cbrt-prod` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `associate--l+` `distribute-lft-out--`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv` `difference-of-squares`

Counts

4 → 140

Calls

4 calls:

19.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))
153.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(* (cbrt 3.0) (sqrt x))

series248.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
15.0ms	(/ 1.0 (* x 9.0))
93.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
65.0ms	(* (cbrt 3.0) (sqrt x))

simplify104.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	714	1970
1	3793	1353
2	5001	1284

prune260.0ms

Filtered

152 candidates to 79 candidates (52.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample789.0ms

Algorithm

intervals

Results

262.0ms	8472×	body	80	nan
258.0ms	8567×	body	80	valid