Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	289×	body	80	nan
8.0ms	276×	body	80	valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	182	7
3	338	7
4	488	7
5	757	7
6	1166	7
7	1729	7
8	2793	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))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

92.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
10.0ms	(* 3.0 (sqrt x))
159.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms	(/ 1.0 (* x 9.0))

series131.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
38.0ms	(* 3.0 (sqrt x))
57.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms	(/ 1.0 (* x 9.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	439	610
1	2111	534
2	5002	532

prune215.0ms

Pruning

12 alts after pruning (12 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))) 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))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

91.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
178.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
162.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
8.0ms	(/ 1.0 (* x 9.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
55.0ms	(* (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))

simplify55.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	410	832
1	1797	742
2	5001	742

prune232.0ms

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)

rewrite574.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

231.0ms	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
10.0ms	(* 3.0 (sqrt x))
315.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
12.0ms	(/ (/ 1.0 x) 9.0)

series132.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
39.0ms	(* 3.0 (sqrt x))
56.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
17.0ms	(/ (/ 1.0 x) 9.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	661	976
1	2968	894
2	5001	894

prune390.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite518.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 157

Calls

4 calls:

43.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
440.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
12.0ms	(/ (/ 1.0 x) 9.0)
16.0ms	(* (cbrt 3.0) (sqrt x))

series260.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
90.0ms	(* (* (* (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))

simplify104.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	795	1494
1	3833	1201
2	5002	1146

prune384.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes83.0ms

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

sample919.0ms

Algorithm

intervals

Results

265.0ms	8572×	body	80	valid
263.0ms	8549×	body	80	nan