Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	32×	body	1280	valid
8.0ms	171×	body	80	valid
6.0ms	30×	body	640	valid
2.0ms	19×	body	320	valid
0.0ms	4×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

11.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302

prune135.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (sin y) y))
0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
0.1b	(/ (sin y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

0.0ms	(log1p (/ (sin y) y))
0.0ms	(expm1 (log1p (/ (sin y) y)))
3.0ms	(* x (expm1 (log1p (/ (sin y) y))))
3.0ms	(/ (sin y) y)

series306.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(log1p (/ (sin y) y))
158.0ms	(expm1 (log1p (/ (sin y) y)))
80.0ms	(* x (expm1 (log1p (/ (sin y) y))))
29.0ms	(/ (sin y) y)

simplify141.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	232	418
1	864	368
2	4325	365
3	5002	363

prune201.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (expm1 (log1p (/ (sin y) y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
16×	`associate-r`
9×	`pow1` `add-exp-log`
6×	`cbrt-div` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

4 → 97

Calls

4 calls:

21.0ms	(* (* x (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
1.0ms	(cbrt (expm1 (log1p (/ (sin y) y))))

series685.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (* x (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))
136.0ms	(cbrt (/ (sin y) y))
130.0ms	(cbrt (/ (sin y) y))
271.0ms	(cbrt (expm1 (log1p (/ (sin y) y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	348	850
1	1173	795
2	5002	763

prune383.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (expm1 (log1p (/ (sin y) y))))
0.6b	(cbrt (/ 1 y))
0.6b	(cbrt (sin y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `div-inv`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt (/ (sin y) y))
0.0ms	(cbrt (expm1 (log1p (/ (sin y) y))))
2.0ms	(cbrt (/ 1 y))
1.0ms	(cbrt (sin y))

series838.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (/ (sin y) y))
259.0ms	(cbrt (expm1 (log1p (/ (sin y) y))))
352.0ms	(cbrt (/ 1 y))
102.0ms	(cbrt (sin y))

simplify80.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	275	485
1	722	461
2	2929	438
3	5001	407

prune281.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

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	8	5
1	8	5

end0.0ms

sample964.0ms

Algorithm

intervals

Results

265.0ms	5236×	body	80	valid
249.0ms	897×	body	1280	valid
185.0ms	1013×	body	640	valid
77.0ms	539×	body	320	valid
31.0ms	315×	body	160	valid