Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	52×	body	1280	valid
11.0ms	39×	body	640	valid
8.0ms	138×	body	80	valid
2.0ms	13×	body	320	valid
2.0ms	14×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

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

series148.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* x (cos y)) (* z (sin y)))
37.0ms	(* z (sin y))
44.0ms	(* x (cos y))

simplify76.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	195	268
1	748	244
2	2510	244
3	5003	243

prune164.0ms

Pruning

9 alts after pruning (9 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))

rewrite11.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

7.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series466.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))
105.0ms	(cbrt (cos y))

simplify108.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune295.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

4.0ms	(* z (sin y))
18.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(pow (cos y) 2)

series194.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (sin y))
42.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
99.0ms	(cbrt (cos y))
17.0ms	(pow (cos y) 2)

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	304	456
1	1308	399
2	5001	375

prune287.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(pow (cos y) 2)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

14.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))
2.0ms	(pow (cos y) 2)

series519.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
301.0ms	(cbrt (cos y))
164.0ms	(cbrt (pow (cos y) 2))
18.0ms	(pow (cos y) 2)

simplify43.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	244	457
1	1097	397
2	5001	378

prune244.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.2b 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	23	15
1	23	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

654.0ms	1500×	body	1280	valid
346.0ms	1280×	body	640	valid
253.0ms	4278×	body	80	valid
128.0ms	616×	body	320	valid
41.0ms	326×	body	160	valid