Details

sample70.0ms

Algorithm

intervals

Results

20.0ms	66×	body	1280	valid
16.0ms	85×	body	640	valid
13.0ms	331×	body	80	valid
5.0ms	41×	body	320	valid
1.0ms	16×	body	160	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	517	4
6	1455	4
7	5002	4

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.3b	(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series287.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
109.0ms	(* (sin x) (sinh y))
111.0ms	(/ (* (sin x) (sinh y)) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255

prune155.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sin x) (/ (sinh y) x))
0.3b	(/ (sinh y) x)

rewrite16.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(* (sin x) (/ (sinh y) x))
3.0ms	(/ (sinh y) x)

series280.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(sinh y)
130.0ms	(* (sin x) (/ (sinh y) x))
79.0ms	(/ (sinh y) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	328	433
1	1261	387
2	5001	361

prune212.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sin x) (* (sinh y) (/ 1 x)))
0.5b	(* (sinh y) (/ 1 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

0.0ms	(sinh y)
13.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
8.0ms	(* (sinh y) (/ 1 x))

series300.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(sinh y)
103.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
106.0ms	(* (sinh y) (/ 1 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	407	464
1	1555	379
2	5002	334

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x)
0.0b	(* 1/120 (pow y 5))
0.1b	(* 1/6 (pow y 3))
0.1b	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`associate-r`
27×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
19×	`times-frac`
15×	`add-cbrt-cube`
9×	`associate-l` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1`
4×	`cube-prod` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-exp` `div-inv` `associate-/l/`
1×	`cube-mult` `frac-2neg` `flip3-+` `unpow3` `associate-*r/` `pow-prod-down` `clear-num` `flip-+`

Counts

4 → 117

Calls

4 calls:

31.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x)
7.0ms	(* 1/120 (pow y 5))
8.0ms	(* 1/6 (pow y 3))
52.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x))

series402.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x)
62.0ms	(* 1/120 (pow y 5))
35.0ms	(* 1/6 (pow y 3))
231.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x))

simplify83.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	514	1032
1	2568	929
2	5002	929

prune348.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes89.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

583.0ms	1923×	body	1280	valid
448.0ms	10231×	body	80	valid
394.0ms	1983×	body	640	valid
148.0ms	1134×	body	320	valid
63.0ms	638×	body	160	valid