Details

sample126.0ms

Algorithm

intervals

Results

48.0ms	31×	body	2560	valid
29.0ms	39×	body	1280	valid
17.0ms	36×	body	640	valid
13.0ms	125×	body	80	valid
6.0ms	17×	body	320	valid
2.0ms	8×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.8b

localize10.0ms

Local error

Found 3 expressions with local error:

6.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b	(sin (/ x (* y 2.0)))
30.5b	(tan (/ x (* y 2.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
16.0ms	(tan (/ x (* y 2.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1765	413
3	5001	413

prune415.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 27.7b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune93.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 27.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
6.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b	(sin (/ x (* y 2.0)))
30.5b	(tan (/ x (* y 2.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

5.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
20.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
17.0ms	(tan (/ x (* y 2.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	337	1072
1	1554	977
2	5001	968

prune757.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 27.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)) 3)
6.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b	(sin (/ x (* y 2.0)))
30.5b	(tan (/ x (* y 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
61×	`unpow-prod-down` `cube-prod`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1` `div-inv`
4×	`add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-/r` `associate-/l` `sqr-pow`
2×	`tan-quot` `cube-div` `pow-pow`
1×	`cbrt-undiv` `pow-to-exp` `cbrt-div` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `associate-/l/` `rem-cube-cbrt`

Counts

4 → 132

Calls

4 calls:

14.0ms	(pow (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)) 3)
4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)) 3)
19.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
15.0ms	(tan (/ x (* y 2.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	567	1852
1	1960	1625
2	5002	1605

prune725.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.7b

regimes867.0ms

Accuracy

30.3% (1.7b remaining)

Error of 28.0b against oracle of 26.3b and baseline of 28.7b

bsearch4.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	20
1	20	20

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	1434×	body	1280	valid
989.0ms	673×	body	2560	valid
442.0ms	944×	body	640	valid
442.0ms	4070×	body	80	valid
193.0ms	574×	body	320	valid
76.0ms	305×	body	160	valid