Details

sample50.0ms

Algorithm

intervals

Results

18.0ms	277×	body	80	nan
18.0ms	280×	body	80	valid

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite97.0ms

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)))
81.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
3.0ms	(/ 1.0 (* x 9.0))

series154.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
69.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
39.0ms	(* 3.0 (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	594	1130
1	2888	878
2	5001	872

prune266.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 168

Calls

4 calls:

18.0ms	(+ y (/ (/ 1.0 x) 9.0))
266.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series154.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ (/ 1.0 x) 9.0))
61.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
22.0ms	(/ (/ 1.0 x) 9.0)
39.0ms	(* 3.0 (sqrt x))

simplify94.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	818	1496
1	3749	1238
2	5001	1234

prune400.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
61×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
53×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
13×	`pow1` `associate-/l*`
8×	`sqrt-prod`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative`
2×	`associate-*r/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 145

Calls

4 calls:

6.0ms	(/ (/ 1.0 x) 9.0)
58.0ms	(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))

series170.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (/ 1.0 x) 9.0)
73.0ms	(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))
38.0ms	(* 3.0 (sqrt x))
43.0ms	(* 3.0 (sqrt x))

simplify73.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	636	909
1	2853	829
2	5001	824

prune424.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log`
24×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
17×	`associate-r`
14×	`*-un-lft-identity`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-cube-cbrt`
11×	`associate-l`
9×	`sqrt-prod`
6×	`unswap-sqr`
5×	`cbrt-prod`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 102

Calls

4 calls:

19.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
58.0ms	(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))
5.0ms	(* 3.0 (sqrt x))
6.0ms	(* (cbrt 3.0) (sqrt x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
76.0ms	(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))
43.0ms	(* 3.0 (sqrt x))
62.0ms	(* (cbrt 3.0) (sqrt x))

simplify70.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	517	774
1	2531	637
2	5001	537

prune276.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	23
1	35	23
2	42	23
3	51	23
4	59	23
5	59	23

end0.0ms

sample1.3s

Algorithm

intervals

Results

543.0ms	8543×	body	80	valid
458.0ms	8415×	body	80	nan