Details

analyze912.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 70.222222%

sample77.0ms

Algorithm

intervals

Results

16.0ms	46×	body	1280	valid
15.0ms	51×	body	1280	invalid
8.0ms	39×	body	640	invalid
7.0ms	38×	body	640	valid
7.0ms	137×	body	80	valid
4.0ms	76×	body	80	invalid
3.0ms	23×	body	320	valid
2.0ms	12×	body	320	invalid
1.0ms	12×	body	160	invalid
1.0ms	12×	body	160	valid

simplify78.0ms

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	137	4
4	262	4
5	500	4
6	1427	4
7	4640	4
8	5001	4

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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)
4.0ms	(/ (sinh y) y)
12.0ms	(* (sin x) (/ (sinh y) y))

series41.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
22.0ms	(* (sin x) (/ (sinh y) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5002	382

prune77.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0.2b

Counts

78 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

5.0ms	(+ (* 1/120 (pow y 5)) y)
12.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
5.0ms	(* 1/120 (pow y 5))
7.0ms	(* 1/6 (pow y 3))

series63.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* 1/120 (pow y 5)) y)
44.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
5.0ms	(* 1/120 (pow y 5))
4.0ms	(* 1/6 (pow y 3))

simplify87.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	486	717
1	2475	637
2	5001	637

prune187.0ms

Filtered

74 candidates to 111 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	111	4	115

Merged error: 0.2b

Counts

115 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ (sin x) (* (cbrt y) (cbrt y))) (/ (sinh y) (cbrt y)))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

15.0ms	(* (/ (sin x) (* (cbrt y) (cbrt y))) (/ (sinh y) (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series99.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (/ (sin x) (* (cbrt y) (cbrt y))) (/ (sinh y) (cbrt y)))
23.0ms	(cbrt y)
22.0ms	(cbrt y)
26.0ms	(cbrt y)

simplify65.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	518	936
1	2459	808
2	5001	742

prune94.0ms

Filtered

81 candidates to 104 candidates (-28.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	4	108

Merged error: 0.2b

Counts

108 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.4b	(* (sin x) (sinh y))
12.7b	(* (* (sin x) (sinh 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×	`sinh-def` `associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

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

series49.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
17.0ms	(* (sin x) (sinh y))
23.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	418	471
1	2052	387
2	5001	347

prune58.0ms

Filtered

48 candidates to 76 candidates (-58.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0.2b

Counts

80 → 4

regimes214.0ms

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

analyze908.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 70.222222%

sample2.4s

Algorithm

intervals

Results

517.0ms	1507×	body	1280	valid
442.0ms	1451×	body	1280	invalid
257.0ms	1235×	body	640	invalid
247.0ms	1253×	body	640	valid
207.0ms	4264×	body	80	valid
119.0ms	2380×	body	80	invalid
90.0ms	656×	body	320	valid
84.0ms	614×	body	320	invalid
31.0ms	320×	body	160	valid
30.0ms	300×	body	160	invalid

Details

analyze912.0ms

sample77.0ms

simplify78.0ms

prune3.0ms

localize7.0ms

rewrite18.0ms

series41.0ms

simplify43.0ms

prune77.0ms

localize15.0ms

rewrite32.0ms

series63.0ms

simplify87.0ms

prune187.0ms

localize11.0ms

rewrite22.0ms

series99.0ms

simplify65.0ms

prune94.0ms

localize8.0ms

rewrite16.0ms

series49.0ms

simplify52.0ms

prune58.0ms

regimes214.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze908.0ms

sample2.4s

Profiling