Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

349×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(* (* z 3.0) y)
0.2b	(/ y (* z 3.0))
6.5b	(/ t (* (* z 3.0) y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

14.0ms	(- x (/ y (* z 3.0)))
19.0ms	(* (* z 3.0) y)
8.0ms	(/ y (* z 3.0))
19.0ms	(/ t (* (* z 3.0) y))

series93.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- x (/ y (* z 3.0)))
18.0ms	(* (* z 3.0) y)
16.0ms	(/ y (* z 3.0))
26.0ms	(/ t (* (* z 3.0) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	321	380
1	1588	320
2	5001	320

prune279.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(/ t (* z 3.0))
4.0b	(/ (/ t (* z 3.0)) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp`
7×	`div-inv`
6×	`add-log-exp`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

11.0ms	(- x (/ y (* z 3.0)))
8.0ms	(/ y (* z 3.0))
8.0ms	(/ t (* z 3.0))
16.0ms	(/ (/ t (* z 3.0)) y)

series93.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- x (/ y (* z 3.0)))
17.0ms	(/ y (* z 3.0))
16.0ms	(/ t (* z 3.0))
26.0ms	(/ (/ t (* z 3.0)) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	403	573
1	1550	512
2	5001	512

prune410.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(* (/ 1 z) (/ t 3.0))
4.0b	(/ (* (/ 1 z) (/ t 3.0)) y)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-exp-log`
41×	`add-sqr-sqrt`
39×	`add-cbrt-cube`
31×	`times-frac`
27×	`div-exp`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
17×	`prod-exp`
15×	`cbrt-undiv`
13×	`associate-r` `associate-l`
9×	`cbrt-unprod`
6×	`pow1` `add-log-exp` `unswap-sqr`
4×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l`
3×	`associate-/l/`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

12.0ms	(- x (/ y (* z 3.0)))
8.0ms	(/ y (* z 3.0))
24.0ms	(* (/ 1 z) (/ t 3.0))
22.0ms	(/ (* (/ 1 z) (/ t 3.0)) y)

series92.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- x (/ y (* z 3.0)))
17.0ms	(/ y (* z 3.0))
15.0ms	(* (/ 1 z) (/ t 3.0))
29.0ms	(/ (* (/ 1 z) (/ t 3.0)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	618	686
1	2833	558
2	5001	545

prune415.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (/ 1 (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.3b	(/ 1 (* z 3.0))
4.0b	(/ (* t (/ 1 (* z 3.0))) y)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
37×	`add-cbrt-cube`
24×	`prod-exp`
22×	`div-exp`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-undiv` `times-frac`
10×	`cbrt-unprod`
9×	`pow1`
7×	`associate-r` `associate-/l*`
6×	`rec-exp` `1-exp`
5×	`associate-/r*`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `associate-*r/` `pow-prod-down` `un-div-inv` `associate-/l/`
1×	`*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

31.0ms	(* t (/ 1 (* z 3.0)))
8.0ms	(/ y (* z 3.0))
12.0ms	(/ 1 (* z 3.0))
31.0ms	(/ (* t (/ 1 (* z 3.0))) y)

series77.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* t (/ 1 (* z 3.0)))
17.0ms	(/ y (* z 3.0))
15.0ms	(/ 1 (* z 3.0))
26.0ms	(/ (* t (/ 1 (* z 3.0))) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	398	518
1	1981	406
2	5001	395

prune299.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes188.0ms

Accuracy

-32% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	18
1	30	18

end0.0ms

sample711.0ms

Algorithm

intervals

Results

431.0ms

11183×

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