Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	315×	body	80	nan
8.0ms	274×	body	80	valid

simplify115.0ms

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

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

rewrite97.0ms

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)))
80.0ms	(* (* 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))

series149.0ms

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))
20.0ms	(/ 1.0 (* x 9.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (62.0ms)

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

prune234.0ms

Filtered

131 candidates to 75 candidates (57.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
48×	`times-frac`
47×	`add-cube-cbrt`
33×	`associate-r`
28×	`sqrt-prod`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
18×	`prod-diff`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`fma-def` `associate-r/` `-commutative`
2×	`sub-neg` `associate--l+` `div-inv`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `associate-*l/` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 163

Calls

4 calls:

2.0ms	(+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0)))
35.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
23.0ms	(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

series432.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0)))
177.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) 1.0))
43.0ms	(* 3.0 (sqrt x))
104.0ms	(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	901	1771
1	4464	1388
2	5001	1377

prune392.0ms

Filtered

175 candidates to 112 candidates (64.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
56×	`add-sqr-sqrt`
52×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
15×	`associate-r`
13×	`associate-/l*`
7×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
5×	`associate-l` `div-inv`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative`
2×	`unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`

Counts

4 → 141

Calls

4 calls:

10.0ms	(* (* 3.0 (sqrt x)) y)
4.0ms	(* 3.0 (sqrt x))
138.0ms	(* (* (+ (/ (/ 1.0 9.0) x) (- 1.0)) 3.0) (sqrt x))
10.0ms	(/ (/ 1.0 9.0) x)

series193.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* 3.0 (sqrt x)) y)
43.0ms	(* 3.0 (sqrt x))
79.0ms	(* (* (+ (/ (/ 1.0 9.0) x) (- 1.0)) 3.0) (sqrt x))
18.0ms	(/ (/ 1.0 9.0) x)

simplify88.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	730	938
1	3198	839
2	5002	834

prune425.0ms

Filtered

153 candidates to 115 candidates (75.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
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)))
0.6b	(/ 1.0 (* x 9.0))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
75×	`distribute-rgt-in` `distribute-lft-in`
72×	`prod-diff`
59×	`add-sqr-sqrt`
53×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 181

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
91.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
95.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms	(/ 1.0 (* x 9.0))

series178.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (/ 1.0 (* x 9.0)))
58.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
70.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
17.0ms	(/ 1.0 (* x 9.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	633	2404
1	2663	1754
2	5002	1748

prune245.0ms

Filtered

193 candidates to 84 candidates (43.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample794.0ms

Algorithm

intervals

Results

263.0ms	8538×	body	80	valid
261.0ms	8530×	body	80	nan