Details

sample82.0ms

Algorithm

intervals

Results

33.0ms	108×	body	1280	valid
18.0ms	103×	body	640	valid
10.0ms	266×	body	80	valid
5.0ms	46×	body	320	valid
1.0ms	17×	body	160	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(sinh y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

8.0ms	(* (sin x) (/ (sinh y) y))
2.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series251.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* (sin x) (/ (sinh y) y))
89.0ms	(/ (sinh y) y)
62.0ms	(sinh y)

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5002	382

prune171.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
0.0b	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
0.0b	(* 1/120 (pow y 5))
0.1b	(* 1/6 (pow y 3))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`associate-r`
27×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
19×	`times-frac`
15×	`add-cbrt-cube`
9×	`associate-l` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1`
4×	`cube-prod` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-exp` `div-inv` `associate-/l/`
1×	`cube-mult` `frac-2neg` `flip3-+` `unpow3` `associate-*r/` `pow-prod-down` `clear-num` `flip-+`

Counts

4 → 117

Calls

4 calls:

44.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
32.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
5.0ms	(* 1/120 (pow y 5))
7.0ms	(* 1/6 (pow y 3))

series367.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
77.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
50.0ms	(* 1/120 (pow y 5))
35.0ms	(* 1/6 (pow y 3))

simplify77.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	503	1017
1	2584	915
2	5002	915

prune338.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.1b	(/ (* (sin x) (sinh y)) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) y)

series242.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
82.0ms	(* (sin x) (sinh y))
97.0ms	(/ (* (sin x) (sinh y)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	279	320
1	1233	272
2	5001	255

prune114.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

889.0ms	3124×	body	1280	valid
462.0ms	2485×	body	640	valid
352.0ms	8399×	body	80	valid
151.0ms	1243×	body	320	valid
57.0ms	664×	body	160	valid