Details

sample85.0ms

Algorithm

intervals

Results

35.0ms	104×	body	1280	valid
16.0ms	70×	body	640	valid
13.0ms	254×	body	80	valid
5.0ms	36×	body	320	valid
3.0ms	28×	body	160	valid

simplify45.0ms

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	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos 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×	`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:

8.0ms	(* (cos x) (/ (sinh y) y))
3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series235.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (cos x) (/ (sinh y) y))
88.0ms	(/ (sinh y) y)
57.0ms	(sinh y)

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

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

prune197.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (exp (log (/ (sinh y) y))))
0.0b	(/ (sinh y) y)
0.0b	(exp (log (/ (sinh y) y)))
2.1b	(log (/ (sinh y) y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`log-prod`
37×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
28×	`exp-sum`
16×	`associate-r`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`log-div` `associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`exp-diff` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `rem-exp-log` `associate-/l/`

Counts

4 → 120

Calls

4 calls:

32.0ms	(* (cos x) (exp (log (/ (sinh y) y))))
5.0ms	(/ (sinh y) y)
6.0ms	(exp (log (/ (sinh y) y)))
7.0ms	(log (/ (sinh y) y))

series497.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (cos x) (exp (log (/ (sinh y) y))))
90.0ms	(/ (sinh y) y)
86.0ms	(exp (log (/ (sinh y) y)))
220.0ms	(log (/ (sinh y) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	414	790
1	1434	728
2	5002	714

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))
0.1b	(exp (* (cos x) (/ (sinh y) y)))
0.6b	(log (exp (* (cos x) (/ (sinh y) y))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `associate-l` `log-pow`
2×	`exp-prod` `exp-to-pow` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `rem-log-exp` `pow-prod-down` `-commutative` `div-inv` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

0.0ms	(sinh y)
8.0ms	(* (cos x) (/ (sinh y) y))
2.0ms	(exp (* (cos x) (/ (sinh y) y)))
1.0ms	(log (exp (* (cos x) (/ (sinh y) y))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sinh y)
89.0ms	(* (cos x) (/ (sinh y) y))
112.0ms	(exp (* (cos x) (/ (sinh y) y)))
99.0ms	(log (exp (* (cos x) (/ (sinh y) y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	462	578
1	1875	509
2	5001	509

prune223.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	2968×	body	1280	valid
554.0ms	2440×	body	640	valid
438.0ms	8492×	body	80	valid
206.0ms	1224×	body	320	valid
72.0ms	633×	body	160	valid