Details

sample77.0ms

Algorithm

intervals

Results

26.0ms	75×	body	1280	valid
16.0ms	243×	body	80	valid
15.0ms	71×	body	640	valid
6.0ms	38×	body	320	valid
2.0ms	21×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1824	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) 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×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

1.0ms	(cosh x)
7.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series151.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(cosh x)
77.0ms	(* (cosh x) (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	291	432
1	1116	386
2	5002	364

prune177.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (/ (sin y) 1/2) (cosh x))
0.1b	(/ (* (/ (sin y) 1/2) (cosh x)) (* 2 y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

1.0ms	(cosh x)
11.0ms	(* (/ (sin y) 1/2) (cosh x))
7.0ms	(/ (* (/ (sin y) 1/2) (cosh x)) (* 2 y))

series206.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(cosh x)
70.0ms	(* (/ (sin y) 1/2) (cosh x))
87.0ms	(/ (* (/ (sin y) 1/2) (cosh x)) (* 2 y))

simplify78.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	439	545
1	2754	413
2	5001	391

prune174.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (/ (sin y) 1/2) (cosh x))
0.1b	(/ 1 (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))
0.2b	(/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-exp-log`
59×	`add-cbrt-cube`
47×	`div-exp`
39×	`times-frac`
30×	`add-sqr-sqrt` `prod-exp`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-undiv`
16×	`associate-/r/` `cbrt-unprod`
13×	`cosh-def` `associate-l`
9×	`associate-/r*`
7×	`pow1` `rec-exp` `1-exp` `div-inv`
6×	`frac-times` `associate-r/` `associate-l/`
4×	`associate-/l*` `add-log-exp`
3×	`associate-r`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 146

Calls

4 calls:

0.0ms	(cosh x)
8.0ms	(* (/ (sin y) 1/2) (cosh x))
13.0ms	(/ 1 (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))
9.0ms	(/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cosh x)
75.0ms	(* (/ (sin y) 1/2) (cosh x))
85.0ms	(/ 1 (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))
132.0ms	(/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))

simplify129.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	677	1375
1	4421	1037
2	5001	983

prune306.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))) (cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))))
0.3b	(cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))
0.3b	(cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))
0.3b	(cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`associate-/r/`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`cosh-def`
11×	`pow1` `swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
8×	`frac-times` `associate-r/` `associate-l/`
7×	`cbrt-div` `times-frac` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

15.0ms	(* (cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))) (cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))))
4.0ms	(cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))
4.0ms	(cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))
5.0ms	(cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))

series909.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))) (cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))))
231.0ms	(cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))
223.0ms	(cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))
232.0ms	(cbrt (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))

simplify55.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	337	1633
1	1233	1526
2	5001	1408

prune442.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample2.5s

Algorithm

intervals

Results

985.0ms	3008×	body	1280	valid
502.0ms	2443×	body	640	valid
468.0ms	8535×	body	80	valid
178.0ms	1233×	body	320	valid
66.0ms	646×	body	160	valid