Details

sample52.0ms

Algorithm

intervals

Results

20.0ms	47×	body	1280	valid
9.0ms	35×	body	640	valid
8.0ms	141×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	14×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* x (sin y))
40.0ms	(* z (cos y))

simplify93.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	118	145
1	439	125
2	1037	125
3	1579	125
4	3660	125
5	5002	125

prune104.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite12.0ms

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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series402.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
95.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))

simplify94.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune260.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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×	`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:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series732.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt z) (cbrt z))
184.0ms	(cbrt z)
175.0ms	(cbrt z)
176.0ms	(cbrt z)

simplify95.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune250.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.9b	(pow (cbrt (cbrt z)) 4)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt (cbrt z))
4.0ms	(cbrt (* (cbrt z) (cbrt z)))
4.0ms	(pow (cbrt (cbrt z)) 4)

series991.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt z)
242.0ms	(cbrt (cbrt z))
273.0ms	(cbrt (* (cbrt z) (cbrt z)))
300.0ms	(pow (cbrt (cbrt z)) 4)

simplify81.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	191	315
1	598	284
2	2094	264
3	5001	257

prune253.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

616.0ms	1470×	body	1280	valid
343.0ms	1345×	body	640	valid
238.0ms	4226×	body	80	valid
110.0ms	615×	body	320	valid
51.0ms	344×	body	160	valid