Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

289×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	29	4
2	56	4
3	86	4
4	118	4
5	145	4
6	156	4
7	166	4
8	167	4
9	171	4
10	175	4
11	286	4
12	324	4
13	350	4
14	448	4
15	517	4
16	599	4
17	705	4
18	799	4
19	808	4
20	808	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
10.6b	(/ (* x (- y z)) (- t z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

12.0ms	(* x (- y z))
15.0ms	(/ (* x (- y z)) (- t z))

series114.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (- y z))
75.0ms	(/ (* x (- y z)) (- t z))

simplify57.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	346	543
1	1624	380
2	5001	380

prune154.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.4b	(/ x (/ (- t z) (- y z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

12.0ms	(/ (- t z) (- y z))
15.0ms	(/ x (/ (- t z) (- y z)))

series210.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- t z) (- y z))
156.0ms	(/ x (/ (- t z) (- y z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	642	1801
1	2887	1748
2	5001	1745

prune476.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
1.5b	(* x (/ (- y z) (- t z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

13.0ms	(/ (- y z) (- t z))
27.0ms	(* x (/ (- y z) (- t z)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- y z) (- t z))
75.0ms	(* x (/ (- y z) (- t z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	356	664
1	1414	623
2	5001	623

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.5b	(* x (* (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))) (cbrt (/ (- y z) (- t z)))))
3.0b	(cbrt (/ (- y z) (- t z)))
3.0b	(cbrt (/ (- y z) (- t z)))
3.0b	(cbrt (/ (- y z) (- t z)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
13×	`pow1` `add-exp-log`
10×	`associate-*r/`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `associate-/r/` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `flip--` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 156

Calls

4 calls:

220.0ms	(* x (* (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))) (cbrt (/ (- y z) (- t z)))))
6.0ms	(cbrt (/ (- y z) (- t z)))
6.0ms	(cbrt (/ (- y z) (- t z)))
6.0ms	(cbrt (/ (- y z) (- t z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (* (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))) (cbrt (/ (- y z) (- t z)))))
335.0ms	(cbrt (/ (- y z) (- t z)))
338.0ms	(cbrt (/ (- y z) (- t z)))
336.0ms	(cbrt (/ (- y z) (- t z)))

simplify126.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	449	1871
1	1171	1741
2	4493	1636
3	5001	1636

prune532.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4

end0.0ms

sample471.0ms

Algorithm

intervals

Results

249.0ms

8773×

body

valid

Iter	Nodes	Cost
0	14	4
1	29	4
2	56	4
3	86	4
4	118	4
5	145	4
6	156	4
7	166	4
8	167	4
9	171	4
10	175	4
11	286	4
12	324	4
13	350	4
14	448	4
15	517	4
16	599	4
17	705	4
18	799	4
19	808	4
20	808	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	56	4
3	86	4
4	118	4
5	145	4
6	156	4
7	166	4
8	167	4
9	171	4
10	175	4
11	286	4
12	324	4
13	350	4
14	448	4
15	517	4
16	599	4
17	705	4
18	799	4
19	808	4
20	808	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	56	4
3	86	4
4	118	4
5	145	4
6	156	4
7	166	4
8	167	4
9	171	4
10	175	4
11	286	4
12	324	4
13	350	4
14	448	4
15	517	4
16	599	4
17	705	4
18	799	4
19	808	4
20	808	4