Details

sample76.0ms

Algorithm

intervals

Results

27.0ms	95×	body	1280	valid
16.0ms	92×	body	640	valid
11.0ms	257×	body	80	valid
5.0ms	39×	body	320	valid
2.0ms	27×	body	160	valid

simplify57.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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))
4.0ms	(/ (sin y) y)

series152.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(cosh x)
77.0ms	(* (cosh x) (/ (sin y) y))
31.0ms	(/ (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

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (sin y))
0.3b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`cosh-def` `div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

1.0ms	(cosh x)
4.0ms	(* (cosh x) (sin y))
9.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series191.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(cosh x)
67.0ms	(* (cosh x) (sin y))
77.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	400	468
1	1826	384
2	5001	351

prune155.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y))))
0.4b	(cbrt (* (cosh x) (/ (sin y) y)))
0.4b	(cbrt (* (cosh x) (/ (sin y) y)))
0.4b	(cbrt (* (cosh x) (/ (sin y) y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
22×	`cosh-def`
20×	`frac-times`
14×	`associate-r/` `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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 82

Calls

4 calls:

6.0ms	(* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y))))
4.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
4.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
4.0ms	(cbrt (* (cosh x) (/ (sin y) y)))

series672.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y))))
157.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
169.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
161.0ms	(cbrt (* (cosh x) (/ (sin y) y)))

simplify130.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	298	965
1	901	886
2	4177	800
3	5001	793

prune316.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* (cosh x) (/ (sin y) y)))
0.4b	(cbrt (* (cosh x) (/ (sin y) y)))
0.4b	(cbrt (* (cosh x) (/ (sin y) y)))
0.4b	(cbrt (* (cosh x) (/ (sin y) y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-div`
8×	`cosh-def`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `frac-times` `add-cube-cbrt` `-un-lft-identity` `pow1/3` `associate-r/` `associate-*l/` `add-cbrt-cube` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

4.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
4.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
4.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
4.0ms	(cbrt (* (cosh x) (/ (sin y) y)))

series654.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
166.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
160.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
163.0ms	(cbrt (* (cosh x) (/ (sin y) y)))

simplify111.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	140	512
1	288	468
2	830	420
3	3725	396
4	5001	396

prune245.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes135.0ms

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

sample2.2s

Algorithm

intervals

Results

900.0ms	2958×	body	1280	valid
445.0ms	2471×	body	640	valid
346.0ms	8368×	body	80	valid
153.0ms	1248×	body	320	valid
64.0ms	633×	body	160	valid