Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

366×

body

valid

simplify43.0ms

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: 3.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.4b	(* (* z 3.0) y)
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:

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

series105.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (/ y (* z 3.0)))
18.0ms	(/ y (* z 3.0))
19.0ms	(* (* z 3.0) y)
32.0ms	(/ t (* (* z 3.0) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

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

prune183.0ms

Pruning

8 alts after pruning (8 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))
3.4b	(/ (/ t (* z 3.0)) y)

rewrite19.0ms

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:

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

series101.0ms

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))
28.0ms	(/ (/ t (* z 3.0)) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (9.0ms)

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

prune273.0ms

Pruning

9 alts after pruning (9 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))
0.3b	(* 0.3333333333333333 (/ t z))
3.5b	(/ (* 0.3333333333333333 (/ t z)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

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

series100.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (/ y (* z 3.0)))
22.0ms	(/ y (* z 3.0))
18.0ms	(* 0.3333333333333333 (/ t z))
28.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	415	440
1	1828	380
2	5002	380

prune241.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (/ y z) 3.0))
0.2b	(/ (/ y z) 3.0)
0.3b	(* 0.3333333333333333 (/ t z))
3.5b	(/ (* 0.3333333333333333 (/ t z)) y)

rewrite42.0ms

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:

16.0ms	(- x (/ (/ y z) 3.0))
6.0ms	(/ (/ y z) 3.0)
7.0ms	(* 0.3333333333333333 (/ t z))
5.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

series101.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- x (/ (/ y z) 3.0))
18.0ms	(/ (/ y z) 3.0)
18.0ms	(* 0.3333333333333333 (/ t z))
28.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 1 (14.0ms)

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

prune383.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes123.0ms

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	19	8
1	19	8

end0.0ms

sample637.0ms

Algorithm

intervals

Results

370.0ms

11154×

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