Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

336×

body

valid

simplify47.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(* (* z 3.0) y)
0.3b	(/ y (* z 3.0))
6.1b	(/ t (* (* z 3.0) y))

rewrite23.0ms

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:

4.0ms	(- x (/ y (* z 3.0)))
6.0ms	(* (* z 3.0) y)
3.0ms	(/ y (* z 3.0))
7.0ms	(/ t (* (* z 3.0) y))

series105.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- x (/ y (* z 3.0)))
24.0ms	(* (* z 3.0) y)
19.0ms	(/ y (* z 3.0))
29.0ms	(/ t (* (* z 3.0) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (11.0ms)

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

prune198.0ms

Pruning

9 alts after pruning (9 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	(/ t (* z 3.0))
0.3b	(/ y (* z 3.0))
3.8b	(/ (/ t (* z 3.0)) y)

rewrite20.0ms

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:

5.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ t (* z 3.0))
3.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series103.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- x (/ y (* z 3.0)))
19.0ms	(/ t (* z 3.0))
19.0ms	(/ y (* z 3.0))
33.0ms	(/ (/ 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

prune273.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))
3.8b	(/ (/ t (* z 3.0)) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

16.0ms	(- x (/ (/ y z) 3.0))
6.0ms	(/ (/ y z) 3.0)
3.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series107.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (/ (/ y z) 3.0))
19.0ms	(/ (/ y z) 3.0)
19.0ms	(/ t (* z 3.0))
33.0ms	(/ (/ t (* z 3.0)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	658	963
1	2575	900
2	5001	900

prune451.0ms

Pruning

5 alts after pruning (5 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	(* 0.3333333333333333 (/ t z))
3.8b	(/ (* 0.3333333333333333 (/ t z)) y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
70×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/l*`
13×	`associate-r`
8×	`cbrt-undiv` `div-exp`
7×	`div-inv`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`associate-l` `difference-of-squares`
2×	`frac-2neg` `associate-*r/` `clear-num` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 142

Calls

4 calls:

19.0ms	(- x (/ (/ y z) 3.0))
6.0ms	(/ (/ y z) 3.0)
7.0ms	(* 0.3333333333333333 (/ t z))
5.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

series105.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- x (/ (/ y z) 3.0))
23.0ms	(/ (/ y z) 3.0)
19.0ms	(* 0.3333333333333333 (/ t z))
31.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	640	831
1	2649	768
2	5001	768

prune391.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample629.0ms

Algorithm

intervals

Results

362.0ms

11163×

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