Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	33×	body	1280	valid
13.0ms	181×	body	80	valid
6.0ms	24×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	5×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.0b	(+ x (sin y))
0.1b	(* z (cos y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

15.0ms	(+ (+ x (sin y)) (* z (cos y)))
3.0ms	(+ x (sin y))
3.0ms	(* z (cos y))

series100.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (+ x (sin y)) (* z (cos y)))
28.0ms	(+ x (sin y))
35.0ms	(* z (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune126.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series422.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
90.0ms	(cbrt (cos y))
90.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))

simplify98.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune239.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (log (exp (cbrt (cos y)))))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`cbrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
7×	`pow1` `log-pow`
6×	`add-exp-log` `log-prod` `exp-prod` `associate-l`
5×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 68

Calls

4 calls:

13.0ms	(* (cbrt (cos y)) (log (exp (cbrt (cos y)))))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series429.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (cos y)) (log (exp (cbrt (cos y)))))
92.0ms	(cbrt (cos y))
92.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))

simplify78.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	144	507
1	470	403
2	2422	368
3	5002	363

prune288.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.4b	(log (sqrt (exp (cbrt (cos y)))))
0.4b	(log (sqrt (exp (cbrt (cos y)))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-pow`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1`
12×	`cbrt-prod` `log-prod` `exp-prod`
8×	`pow1`
6×	`add-exp-log` `sqrt-prod`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `pow1/3` `rem-log-exp`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
3.0ms	(log (sqrt (exp (cbrt (cos y)))))
3.0ms	(log (sqrt (exp (cbrt (cos y)))))

series623.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))
216.0ms	(log (sqrt (exp (cbrt (cos y)))))
220.0ms	(log (sqrt (exp (cbrt (cos y)))))

simplify148.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (143.0ms)

Iter	Nodes	Cost
0	108	470
1	237	426
2	656	422
3	3074	418
4	5001	414

prune326.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

419.0ms	1000×	body	1280	valid
292.0ms	5572×	body	80	valid
216.0ms	805×	body	640	valid
72.0ms	418×	body	320	valid
24.0ms	205×	body	160	valid