Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

341×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(/ y (* z 3.0))
0.2b	(* (* z 3.0) y)
5.5b	(/ t (* (* z 3.0) y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`associate-+l+` `frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

35.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms	(/ y (* z 3.0))
6.0ms	(* (* z 3.0) y)
7.0ms	(/ t (* (* z 3.0) y))

series138.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
18.0ms	(/ y (* z 3.0))
21.0ms	(* (* z 3.0) y)
27.0ms	(/ t (* (* z 3.0) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	405	532
1	2039	469
2	5001	469

prune195.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
0.2b	(/ y (* z 3.0))
0.2b	(* z (* 3.0 y))
5.5b	(/ t (* z (* 3.0 y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-l` `pow-prod-down`
2×	`associate-+l+` `frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-r` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

32.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
3.0ms	(/ y (* z 3.0))
6.0ms	(* z (* 3.0 y))
6.0ms	(/ t (* z (* 3.0 y)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
18.0ms	(/ y (* z 3.0))
19.0ms	(* z (* 3.0 y))
30.0ms	(/ t (* z (* 3.0 y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	414	530
1	1744	467
2	5003	467

prune198.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* z 3.0))
0.2b	(* z (* 3.0 y))
1.0b	(/ 1 (/ (* z (* 3.0 y)) t))
5.2b	(/ (* z (* 3.0 y)) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
39×	`times-frac`
37×	`add-cbrt-cube`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`div-exp`
16×	`prod-exp`
12×	`cbrt-undiv`
11×	`associate-/r*`
10×	`pow1` `cbrt-unprod`
7×	`div-inv` `associate-/l*`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `pow-prod-down` `clear-num`
1×	`pow-flip` `associate-r` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 122

Calls

4 calls:

3.0ms	(/ y (* z 3.0))
6.0ms	(* z (* 3.0 y))
14.0ms	(/ 1 (/ (* z (* 3.0 y)) t))
7.0ms	(/ (* z (* 3.0 y)) t)

series121.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ y (* z 3.0))
31.0ms	(* z (* 3.0 y))
34.0ms	(/ 1 (/ (* z (* 3.0 y)) t))
27.0ms	(/ (* z (* 3.0 y)) t)

simplify87.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	467	711
1	2573	593
2	5001	560

prune242.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (/ 1 (* z 3.0)))
0.2b	(* z (* 3.0 y))
0.3b	(/ 1 (* z 3.0))
5.5b	(/ t (* z (* 3.0 y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
32×	`add-cbrt-cube`
19×	`prod-exp`
14×	`pow1` `add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`div-exp` `cbrt-unprod`
9×	`times-frac`
8×	`associate-r`
7×	`cbrt-undiv`
6×	`associate-l` `associate-/l*`
5×	`pow-prod-down`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`div-inv`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`associate-*r/` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

13.0ms	(* y (/ 1 (* z 3.0)))
6.0ms	(* z (* 3.0 y))
4.0ms	(/ 1 (* z 3.0))
7.0ms	(/ t (* z (* 3.0 y)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* y (/ 1 (* z 3.0)))
19.0ms	(* z (* 3.0 y))
15.0ms	(/ 1 (* z 3.0))
31.0ms	(/ t (* z (* 3.0 y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	373	439
1	1814	349
2	5001	339

prune222.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes198.0ms

Accuracy

73.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	25
1	36	25

end0.0ms

sample633.0ms

Algorithm

intervals

Results

362.0ms

11087×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7