Details

sample86.0ms

Algorithm

intervals

Results

34.0ms	99×	body	1280	valid
16.0ms	79×	body	640	valid
15.0ms	289×	body	80	valid
6.0ms	40×	body	320	valid
3.0ms	25×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

13.0ms	(* (cosh x) (/ (sin y) y))
5.0ms	(/ (sin y) y)

series130.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* (cosh x) (/ (sin y) y))
45.0ms	(/ (sin y) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	271	408
1	1085	363
2	5001	351

prune161.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
5×	`associate-*r/`
4×	`div-exp` `pow-prod-down`
3×	`cosh-def` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`associate-*l/` `div-inv`

Counts

2 → 67

Calls

2 calls:

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

series100.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
25.0ms	(* (sin y) (/ 1 y))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	341	428
1	1459	344
2	5001	315

prune148.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (cosh x) (* (sin y) (/ 1 y)))) (cbrt (* (cosh x) (* (sin y) (/ 1 y)))))
0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-div`
65×	`associate-*r/`
55×	`frac-times`
45×	`cosh-def`
30×	`un-div-inv`
20×	`associate-*l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

20.0ms	(* (cbrt (* (cosh x) (* (sin y) (/ 1 y)))) (cbrt (* (cosh x) (* (sin y) (/ 1 y)))))
14.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
11.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
11.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))

series651.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (* (cosh x) (* (sin y) (/ 1 y)))) (cbrt (* (cosh x) (* (sin y) (/ 1 y)))))
156.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
153.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
157.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	338	1498
1	1074	1396
2	5001	1302

prune359.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.6b	(cbrt y)
0.7b	(cbrt (* (cosh x) (sin y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-div`
8×	`associate-*r/`
7×	`cosh-def`
6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `pow1/3` `un-div-inv` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`

Counts

4 → 57

Calls

4 calls:

11.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
10.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.0ms	(cbrt y)
2.0ms	(cbrt (* (cosh x) (sin y)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
163.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
182.0ms	(cbrt y)
105.0ms	(cbrt (* (cosh x) (sin y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	244	477
1	649	436
2	2423	397
3	5001	386

prune315.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes160.0ms

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	7	4
1	7	4

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	2986×	body	1280	valid
550.0ms	2522×	body	640	valid
465.0ms	8561×	body	80	valid
189.0ms	1200×	body	320	valid
62.0ms	582×	body	160	valid