Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
12.0ms	144×	body	80	valid
11.0ms	39×	body	640	valid
4.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))
4.0ms	(* x (cos y))

series169.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (* x (cos y)) (* z (sin y)))
49.0ms	(* z (sin y))
43.0ms	(* x (cos y))

simplify67.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	174	254
1	636	233
2	2041	233
3	5001	233

prune148.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

series533.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
116.0ms	(cbrt (cos y))
119.0ms	(cbrt (cos y))
111.0ms	(cbrt (cos y))

simplify110.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (104.0ms)

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

prune272.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (pow (pow (cos y) 2) 1/3))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

13.0ms	(* x (pow (pow (cos y) 2) 1/3))
17.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series302.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* x (pow (pow (cos y) 2) 1/3))
48.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
20.0ms	(pow (cos y) 2)
116.0ms	(cbrt (cos y))

simplify51.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	320	572
1	1417	499
2	5002	468

prune313.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.6b	(log (exp (pow (cos y) 2)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`log-pow`
8×	`pow1` `exp-prod` `add-cbrt-cube`
7×	`prod-exp`
6×	`cbrt-prod` `unpow-prod-down` `associate-r`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 72

Calls

4 calls:

36.0ms	(* (* x (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
4.0ms	(log (exp (pow (cos y) 2)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (* x (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
116.0ms	(cbrt (cos y))
21.0ms	(log (exp (pow (cos y) 2)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	262	464
1	1122	378
2	5001	343

prune293.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

701.0ms	1468×	body	1280	valid
388.0ms	1268×	body	640	valid
378.0ms	4333×	body	80	valid
143.0ms	624×	body	320	valid
47.0ms	307×	body	160	valid