Details

sample35.0ms

Algorithm

intervals

Results

22.0ms

341×

body

valid

simplify44.0ms

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: 4.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(* (* z 3.0) y)
9.9b	(/ 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:

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

series102.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- x (/ y (* z 3.0)))
22.0ms	(/ y (* z 3.0))
20.0ms	(* (* z 3.0) y)
28.0ms	(/ t (* (* z 3.0) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

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

prune216.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))
2.9b	(/ (/ t (* z 3.0)) y)

rewrite29.0ms

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:

7.0ms	(- x (/ y (* z 3.0)))
4.0ms	(/ y (* z 3.0))
4.0ms	(/ t (* z 3.0))
9.0ms	(/ (/ t (* z 3.0)) y)

series106.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (/ y (* z 3.0)))
18.0ms	(/ y (* z 3.0))
21.0ms	(/ t (* z 3.0))
35.0ms	(/ (/ t (* z 3.0)) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (10.0ms)

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

prune267.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.5b	(/ (/ (* (cbrt t) (cbrt t)) z) (* (cbrt y) (cbrt y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
15×	`add-cbrt-cube`
13×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod`
7×	`associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 71

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
8.0ms	(/ (/ (* (cbrt t) (cbrt t)) z) (* (cbrt y) (cbrt y)))

series607.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt t)
168.0ms	(cbrt t)
172.0ms	(cbrt t)
93.0ms	(/ (/ (* (cbrt t) (cbrt t)) z) (* (cbrt y) (cbrt y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	321	557
1	1156	466
2	5001	428

prune274.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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))
3.0b	(* (/ t (* z 3.0)) (/ 1 y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
35×	`add-cbrt-cube`
26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
18×	`div-exp` `prod-exp`
17×	`add-cube-cbrt`
13×	`associate-r`
11×	`cbrt-undiv`
10×	`cbrt-unprod`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
4×	`div-inv`
3×	`rec-exp` `1-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r*`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

4.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
3.0ms	(/ t (* z 3.0))
19.0ms	(* (/ t (* z 3.0)) (/ 1 y))

series99.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (/ y (* z 3.0)))
23.0ms	(/ y (* z 3.0))
18.0ms	(/ t (* z 3.0))
27.0ms	(* (/ t (* z 3.0)) (/ 1 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	512	603
1	2413	498
2	5001	486

prune245.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	17
1	21	17

end0.0ms

sample1.0s

Algorithm

intervals

Results

730.0ms

11056×

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