Details

sample130.0ms

Algorithm

intervals

Results

46.0ms	109×	body	1280	valid
27.0ms	99×	body	640	valid
23.0ms	289×	body	80	valid
10.0ms	48×	body	320	valid
3.0ms	22×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

1.0ms	(sinh y)
15.0ms	(* (cos x) (/ (sinh y) y))
5.0ms	(/ (sinh y) y)

series248.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
92.0ms	(* (cos x) (/ (sinh y) y))
95.0ms	(/ (sinh y) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	339	443
1	1326	398
2	5001	396

prune183.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(/ (sinh y) y)
0.0b	(cbrt (pow (/ (sinh y) y) 3))
0.0b	(pow (/ (sinh y) y) 3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
70×	`cbrt-prod`
65×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sinh-def` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `associate-/l/`

Counts

4 → 181

Calls

4 calls:

26.0ms	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
2.0ms	(/ (sinh y) y)
4.0ms	(cbrt (pow (/ (sinh y) y) 3))
4.0ms	(pow (/ (sinh y) y) 3)

series402.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
87.0ms	(/ (sinh y) y)
97.0ms	(cbrt (pow (/ (sinh y) y) 3))
119.0ms	(pow (/ (sinh y) y) 3)

simplify77.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	603	1181
1	2928	1075
2	5002	1054

prune369.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sqrt (sinh y)) (cos x))
0.1b	(/ (sqrt (sinh y)) y)
0.2b	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
36×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-r` `sqrt-prod`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
7×	`associate-l` `prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`sinh-def`
4×	`expm1-log1p-u` `sqrt-div` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num` `associate-/l/`

Counts

4 → 123

Calls

4 calls:

0.0ms	(sinh y)
6.0ms	(* (sqrt (sinh y)) (cos x))
3.0ms	(/ (sqrt (sinh y)) y)
18.0ms	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sinh y)
106.0ms	(* (sqrt (sinh y)) (cos x))
102.0ms	(/ (sqrt (sinh y)) y)
77.0ms	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	509	1018
1	2437	921
2	5002	868

prune290.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample2.6s

Algorithm

intervals

Results

988.0ms	3110×	body	1280	valid
518.0ms	8779×	body	80	valid
502.0ms	2467×	body	640	valid
171.0ms	1176×	body	320	valid
59.0ms	577×	body	160	valid