Details

sample58.0ms

Algorithm

intervals

Results

24.0ms	270×	body	80	valid
20.0ms	273×	body	80	nan

simplify111.0ms

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)))
0.3b	(* (* 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))

rewrite94.0ms

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)))
79.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

series146.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
63.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))
43.0ms	(* 3.0 (sqrt x))

simplify70.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (59.0ms)

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

prune226.0ms

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

rewrite200.0ms

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)))
89.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))
93.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
57.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms	(/ 1.0 (* x 9.0))
61.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify84.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	633	2404
1	2665	1754
2	5002	1748

prune269.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

3.0ms	(/ 1.0 (* x 9.0))
23.0ms	(* 3.0 (* (+ y (/ 1.0 (* x 9.0))) (sqrt x)))
10.0ms	(* 3.0 (* (- 1.0) (sqrt x)))
20.0ms	(* (+ y (/ 1.0 (* x 9.0))) (sqrt x))

series174.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 1.0 (* x 9.0))
64.0ms	(* 3.0 (* (+ y (/ 1.0 (* x 9.0))) (sqrt x)))
40.0ms	(* 3.0 (* (- 1.0) (sqrt x)))
54.0ms	(* (+ y (/ 1.0 (* x 9.0))) (sqrt x))

simplify55.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	480	657
1	2111	565
2	5002	556

prune252.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (+ y (/ 1.0 (* x 9.0))))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (* (- 1.0) (sqrt x)))
0.4b	(* (* 3.0 (+ y (/ 1.0 (* x 9.0)))) (sqrt x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

18.0ms	(* 3.0 (+ y (/ 1.0 (* x 9.0))))
3.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* 3.0 (* (- 1.0) (sqrt x)))
24.0ms	(* (* 3.0 (+ y (/ 1.0 (* x 9.0)))) (sqrt x))

series154.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 3.0 (+ y (/ 1.0 (* x 9.0))))
16.0ms	(/ 1.0 (* x 9.0))
41.0ms	(* 3.0 (* (- 1.0) (sqrt x)))
62.0ms	(* (* 3.0 (+ y (/ 1.0 (* x 9.0)))) (sqrt x))

simplify68.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	519	611
1	2535	525
2	5003	519

prune234.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	31	11
2	35	11
3	35	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

708.0ms	8550×	body	80	valid
653.0ms	8655×	body	80	nan