Details

sample50.0ms

Algorithm

intervals

Results

16.0ms	38×	body	1280	valid
11.0ms	163×	body	80	valid
9.0ms	35×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	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 (sin y)) (* z (cos y)))
0.0b	(+ x (sin y))
0.1b	(* z (cos y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `fma-def`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`sum-log`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

21.0ms	(+ (+ x (sin y)) (* z (cos y)))
3.0ms	(+ x (sin y))
3.0ms	(* z (cos y))

series108.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (+ x (sin y)) (* z (cos y)))
27.0ms	(+ x (sin y))
39.0ms	(* z (cos y))

simplify76.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	208	268
1	743	242
2	2955	242
3	5001	242

prune159.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(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×	`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:

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

series438.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
93.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))

simplify107.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (101.0ms)

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

prune281.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite37.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 98

Calls

4 calls:

12.0ms	(* z (pow (pow (cos y) 2) 1/3))
20.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series243.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* z (pow (pow (cos y) 2) 1/3))
38.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
97.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	330	610
1	1447	529
2	5001	498

prune321.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))
0.5b	(expm1 (cbrt (cos y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `pow1/3` `log1p-expm1` `pow-exp` `unpow2` `expm1-udef` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

0.0ms	(log1p (expm1 (cbrt (cos y))))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
0.0ms	(expm1 (cbrt (cos y)))

series534.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(log1p (expm1 (cbrt (cos y))))
17.0ms	(pow (cos y) 2)
101.0ms	(cbrt (cos y))
192.0ms	(expm1 (cbrt (cos y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	177	249
1	598	221
2	2242	214
3	5001	213

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

446.0ms	1008×	body	1280	valid
415.0ms	5570×	body	80	valid
226.0ms	809×	body	640	valid
81.0ms	386×	body	320	valid
35.0ms	226×	body	160	valid
1.0ms	1×	body	2560	valid