Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	275×	body	80	valid
8.0ms	293×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
11×	`add-cube-cbrt`
9×	`add-log-exp`
6×	`pow1` `times-frac` `associate-r` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `associate-/r*` `frac-sub` `flip--` `div-inv` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

43.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
3.0ms	(/ 1.0 (* x 9.0))
4.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))

series165.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
15.0ms	(/ 1.0 (* x 9.0))
57.0ms	(/ y (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	516	590
1	2039	534
2	5001	532

prune228.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* 3.0 (sqrt x)))
0.2b	(* y (/ 1 (* 3.0 (sqrt x))))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
25×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
11×	`pow1`
10×	`div-exp`
9×	`times-frac`
7×	`cbrt-unprod`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
4×	`rec-exp` `1-exp` `sqrt-prod` `add-log-exp`
3×	`pow-prod-down` `div-inv` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 103

Calls

4 calls:

6.0ms	(/ 1 (* 3.0 (sqrt x)))
19.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
3.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

series150.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (* 3.0 (sqrt x)))
58.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
15.0ms	(/ 1.0 (* x 9.0))
37.0ms	(* 3.0 (sqrt x))

simplify63.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	505	538
1	2302	442
2	5002	432

prune240.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* 3.0 (sqrt x)))
0.2b	(* y (/ 1 (* 3.0 (sqrt x))))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
60×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `*-un-lft-identity`
41×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`associate-/l*`
14×	`prod-exp`
13×	`associate-r`
11×	`pow1` `div-exp`
7×	`cbrt-undiv` `div-inv`
6×	`associate-l` `cbrt-unprod`
4×	`rec-exp` `1-exp` `associate-/r*` `sqrt-prod` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `*-commutative`
1×	`associate-*r/` `un-div-inv` `associate-/l/` `inv-pow`

Counts

4 → 152

Calls

4 calls:

6.0ms	(/ 1 (* 3.0 (sqrt x)))
16.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
9.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (* 3.0 (sqrt x)))
55.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
19.0ms	(/ (/ 1.0 x) 9.0)
38.0ms	(* 3.0 (sqrt x))

simplify77.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	722	903
1	3139	804
2	5001	794

prune385.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (* y (/ 1 (* 3.0 (sqrt x)))))
0.2b	(/ 1 (* 3.0 (sqrt x)))
0.2b	(* y (/ 1 (* 3.0 (sqrt x))))
0.3b	(* 3.0 (sqrt x))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`prod-exp`
13×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`add-log-exp`
8×	`div-exp`
6×	`times-frac` `associate-l` `cbrt-unprod`
4×	`cbrt-undiv` `rec-exp` `1-exp` `sqrt-prod` `frac-sub`
3×	`flip3--` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `flip--` `associate-/l` `unswap-sqr`
2×	`sub-neg` `pow-flip` `associate--l+` `*-commutative` `div-inv`
1×	`associate--l-` `frac-2neg` `clear-num` `associate-/r*` `inv-pow`

Counts

4 → 102

Calls

4 calls:

53.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (* y (/ 1 (* 3.0 (sqrt x)))))
6.0ms	(/ 1 (* 3.0 (sqrt x)))
16.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
7.0ms	(* 3.0 (sqrt x))

series184.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (* y (/ 1 (* 3.0 (sqrt x)))))
38.0ms	(/ 1 (* 3.0 (sqrt x)))
60.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
40.0ms	(* 3.0 (sqrt x))

simplify70.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	574	726
1	2470	627
2	5001	616

prune212.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample759.0ms

Algorithm

intervals

Results

267.0ms	8516×	body	80	valid
231.0ms	8421×	body	80	nan