Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	289×	body	80	nan
8.0ms	276×	body	80	valid

simplify108.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b	(/ 1.0 (* x 9.0))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

105.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
9.0ms	(* 3.0 (sqrt x))
161.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(/ 1.0 (* x 9.0))

series197.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
53.0ms	(* 3.0 (sqrt x))
89.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
24.0ms	(/ 1.0 (* x 9.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	577	1398
1	2857	1037
2	5001	1031

prune453.0ms

Pruning

13 alts after pruning (12 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))) 1.0)
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.5b	(/ 1.0 (* x 9.0))

rewrite523.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 199

Calls

4 calls:

108.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
209.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
190.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
7.0ms	(/ 1.0 (* x 9.0))

series144.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
49.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
58.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
15.0ms	(/ 1.0 (* x 9.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	616	2672
1	2632	1913
2	5001	1907

prune271.0ms

Pruning

13 alts after pruning (12 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)) 1.0)
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b	(/ (/ 1.0 x) 9.0)

rewrite581.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 186

Calls

4 calls:

222.0ms	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
9.0ms	(* 3.0 (sqrt x))
332.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms	(/ (/ 1.0 x) 9.0)

series125.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
33.0ms	(* 3.0 (sqrt x))
58.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
15.0ms	(/ (/ 1.0 x) 9.0)

simplify93.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	800	1764
1	3754	1397
2	5001	1393

prune387.0ms

Pruning

13 alts after pruning (11 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	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b	(/ (/ 1.0 x) 9.0)
0.4b	(* (cbrt 3.0) (sqrt x))

rewrite506.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 189

Calls

4 calls:

39.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
437.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
10.0ms	(/ (/ 1.0 x) 9.0)
11.0ms	(* (cbrt 3.0) (sqrt x))

series242.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
89.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
21.0ms	(/ (/ 1.0 x) 9.0)
59.0ms	(* (cbrt 3.0) (sqrt x))

simplify119.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	937	2336
1	4677	1713
2	5001	1702

prune455.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes92.0ms

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	16	7
1	16	7

end0.0ms

sample924.0ms

Algorithm

intervals

Results

274.0ms	8572×	body	80	valid
265.0ms	8549×	body	80	nan