Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	278×	body	80	valid
8.0ms	271×	body	80	nan

simplify134.0ms

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

rewrite205.0ms

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:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
172.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(/ 1.0 (* x 9.0))
9.0ms	(* 3.0 (sqrt x))

series156.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
69.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms	(/ 1.0 (* x 9.0))
45.0ms	(* 3.0 (sqrt x))

simplify86.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (74.0ms)

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

prune292.0ms

Pruning

11 alts after pruning (11 fresh and 0 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	(* (* 3.0 (sqrt x)) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite53.0ms

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)
36.0ms	(* (* 3.0 (sqrt x)) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))
11.0ms	(* 3.0 (sqrt x))

series140.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(fma 0.1111111111111111 (/ 1 x) y)
74.0ms	(* (* 3.0 (sqrt x)) (- (fma 0.1111111111111111 (/ 1 x) y) 1.0))
39.0ms	(* 3.0 (sqrt x))

simplify65.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (55.0ms)

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

prune207.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) 0.1111111111111111)
0.2b	(/ (* (* 3.0 (sqrt x)) 0.1111111111111111) x)
0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
21×	`add-sqr-sqrt`
15×	`associate-r`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod`
7×	`associate-l`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 93

Calls

4 calls:

23.0ms	(* (* 3.0 (sqrt x)) 0.1111111111111111)
26.0ms	(/ (* (* 3.0 (sqrt x)) 0.1111111111111111) x)
10.0ms	(* 3.0 (sqrt x))
15.0ms	(* 3.0 (sqrt x))

series176.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* 3.0 (sqrt x)) 0.1111111111111111)
56.0ms	(/ (* (* 3.0 (sqrt x)) 0.1111111111111111) x)
37.0ms	(* 3.0 (sqrt x))
39.0ms	(* 3.0 (sqrt x))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	325	529
1	1854	445
2	5001	429

prune275.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3.0 (sqrt x)) (- y 1.0))
0.3b	(/ 1 (/ (pow x 1/2) (* 3.0 0.1111111111111111)))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ (pow x 1/2) (* 3.0 0.1111111111111111))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
68×	`times-frac`
54×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
38×	`div-exp`
25×	`add-cbrt-cube`
18×	`unpow-prod-down` `prod-diff`
16×	`prod-exp`
12×	`pow1` `associate-/r*`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
10×	`associate-/l*`
8×	`pow-to-exp` `pow-exp`
7×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`cbrt-unprod` `div-inv` `sqr-pow`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `associate-r/` `clear-num` `-commutative` `unswap-sqr`
1×	`flip3--` `pow-flip` `associate-/r/` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 191

Calls

4 calls:

36.0ms	(* (* 3.0 (sqrt x)) (- y 1.0))
23.0ms	(/ 1 (/ (pow x 1/2) (* 3.0 0.1111111111111111)))
10.0ms	(* 3.0 (sqrt x))
12.0ms	(/ (pow x 1/2) (* 3.0 0.1111111111111111))

series175.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* 3.0 (sqrt x)) (- y 1.0))
45.0ms	(/ 1 (/ (pow x 1/2) (* 3.0 0.1111111111111111)))
37.0ms	(* 3.0 (sqrt x))
46.0ms	(/ (pow x 1/2) (* 3.0 0.1111111111111111))

simplify138.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	855	1398
1	4332	1148
2	5001	1119

prune448.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

535.0ms	8490×	body	80	valid
264.0ms	8354×	body	80	nan