Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	274×	body	80	valid
7.0ms	235×	body	80	nan

simplify115.0ms

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: 0.4b

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	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite99.0ms

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)))
83.0ms	(* (* 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))

series146.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
64.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
39.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (66.0ms)

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

prune242.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 82

Calls

3 calls:

0.0ms	(fma 0.1111111111111111 (/ 1 x) y)
17.0ms	(* (* 3.0 (sqrt x)) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))
5.0ms	(* 3.0 (sqrt x))

series135.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(fma 0.1111111111111111 (/ 1 x) y)
65.0ms	(* (* 3.0 (sqrt x)) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))
40.0ms	(* 3.0 (sqrt x))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	449	822
1	2051	632
2	5001	624

prune175.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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:

0.0ms	(fma 0.1111111111111111 (/ 1 x) y)
17.0ms	(* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))
21.0ms	(* 3.0 (* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(fma 0.1111111111111111 (/ 1 x) y)
63.0ms	(* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))
65.0ms	(* 3.0 (* (sqrt x) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (44.0ms)

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

prune198.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
8×	`associate-l`
7×	`add-cube-cbrt` `associate-r`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`flip3--` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma 0.1111111111111111 (/ 1 x) y)
18.0ms	(* (- (fma 0.1111111111111111 (/ 1 x) y) 1.0) (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series132.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(fma 0.1111111111111111 (/ 1 x) y)
69.0ms	(* (- (fma 0.1111111111111111 (/ 1 x) y) 1.0) (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))

simplify37.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	284	374
1	1077	324
2	5002	316

prune142.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

regimes84.0ms

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	18	6
1	20	6
2	20	6

end0.0ms

sample836.0ms

Algorithm

intervals

Results

283.0ms	8618×	body	80	nan
266.0ms	8554×	body	80	valid