Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	276×	body	80	valid
8.0ms	263×	body	80	nan

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `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 → 84

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
15.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series138.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ y (/ 1.0 (* x 9.0)))
63.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms	(/ 1.0 (* x 9.0))
36.0ms	(* 3.0 (sqrt x))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	456	548
1	2172	486
2	5002	484

prune218.0ms

Filtered

96 candidates to 62 candidates (64.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `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 → 84

Calls

4 calls:

6.0ms	(+ (/ 1.0 (* x 9.0)) y)
16.0ms	(* (* 3.0 (sqrt x)) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (/ 1.0 (* x 9.0)) y)
65.0ms	(* (* 3.0 (sqrt x)) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
15.0ms	(/ 1.0 (* x 9.0))
50.0ms	(* 3.0 (sqrt x))

simplify62.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	458	550
1	2187	488
2	5001	486

prune214.0ms

Filtered

96 candidates to 62 candidates (64.6%)

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

6.0ms	(+ (/ 1.0 (* x 9.0)) y)
13.0ms	(* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
4.0ms	(/ 1.0 (* x 9.0))
16.0ms	(* 3.0 (* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (/ 1.0 (* x 9.0)) y)
60.0ms	(* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
15.0ms	(/ 1.0 (* x 9.0))
64.0ms	(* 3.0 (* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	429	772
1	1883	696
2	5003	696

prune231.0ms

Filtered

110 candidates to 67 candidates (60.9%)

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	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0)))) y) 1.0)))
0.6b	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
33×	`add-sqr-sqrt`
24×	`pow1`
21×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
18×	`times-frac`
13×	`associate-l`
12×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr`
11×	`associate-r`
8×	`sqrt-pow1` `pow1/2`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`
5×	`associate-*r/` `pow-prod-up`
4×	`cbrt-undiv` `sub-neg` `sqrt-div` `div-exp` `associate--l+` `add-log-exp` `unswap-sqr`
3×	`pow-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`pow2` `frac-times` `flip3--` `pow-plus` `sqrt-unprod` `associate-*l/` `rem-square-sqrt` `flip--`

Counts

4 → 138

Calls

4 calls:

8.0ms	(/ 1.0 (* x 9.0))
4.0ms	(/ 1.0 (* x 9.0))
17.0ms	(* 3.0 (* (sqrt x) (- (+ (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0)))) y) 1.0)))
12.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1.0 (* x 9.0))
16.0ms	(/ 1.0 (* x 9.0))
135.0ms	(* 3.0 (* (sqrt x) (- (+ (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0)))) y) 1.0)))
51.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify77.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	522	963
1	2573	766
2	5002	743

prune302.0ms

Filtered

150 candidates to 89 candidates (59.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes127.0ms

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	21	7
1	23	7
2	23	7

end0.0ms

sample825.0ms

Algorithm

intervals

Results

270.0ms	8605×	body	80	valid
262.0ms	8468×	body	80	nan