Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

758×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	228	4
4	411	4
5	786	4
6	2469	4
7	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
8.0b	(/ (* (cosh x) (/ y x)) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

1.0ms	(cosh x)
8.0ms	(* (cosh x) (/ y x))
6.0ms	(/ (* (cosh x) (/ y x)) z)

series236.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(cosh x)
79.0ms	(* (cosh x) (/ y x))
113.0ms	(/ (* (cosh x) (/ y x)) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	383	433
1	1634	372
2	5001	368

prune197.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y (* x z)))
5.1b	(/ y (* x z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`times-frac`
5×	`pow1` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `cosh-def` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`div-inv`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `-commutative` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

1.0ms	(cosh x)
10.0ms	(* (cosh x) (/ y (* x z)))
3.0ms	(/ y (* x z))

series188.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(cosh x)
121.0ms	(* (cosh x) (/ y (* x z)))
22.0ms	(/ y (* x z))

simplify39.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	297	347
1	1201	293
2	5002	289

prune158.0ms

Filtered

73 candidates to 53 candidates (72.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b	(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
0.0b	(/ 1/2 (exp x))
5.6b	(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
19×	`add-exp-log`
13×	`associate-r` `associate-l`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef`

Counts

4 → 120

Calls

4 calls:

0.0ms	(fma (exp x) 1/2 (/ 1/2 (exp x)))
2.0ms	(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
3.0ms	(/ 1/2 (exp x))
16.0ms	(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

series253.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (exp x) 1/2 (/ 1/2 (exp x)))
68.0ms	(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x)
9.0ms	(/ 1/2 (exp x))
136.0ms	(* (/ y z) (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) x))

simplify65.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	509	1056
1	2478	943
2	5002	942

prune544.0ms

Filtered

132 candidates to 102 candidates (77.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ 1 (/ (* x z) y)))
0.4b	(/ 1 (/ (* x z) y))
5.1b	(/ (* x z) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

68×	`times-frac`
62×	`add-exp-log`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`add-cube-cbrt`
32×	`add-cbrt-cube`
26×	`div-exp` `associate-r`
17×	`prod-exp`
12×	`cbrt-undiv`
10×	`associate-/r*` `div-inv`
7×	`pow1` `cbrt-unprod`
6×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cosh-def` `associate-l` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 152

Calls

4 calls:

1.0ms	(cosh x)
21.0ms	(* (cosh x) (/ 1 (/ (* x z) y)))
6.0ms	(/ 1 (/ (* x z) y))
3.0ms	(/ (* x z) y)

series235.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cosh x)
142.0ms	(* (cosh x) (/ 1 (/ (* x z) y)))
21.0ms	(/ 1 (/ (* x z) y))
23.0ms	(/ (* x z) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	559	914
1	2823	779
2	5002	715

prune293.0ms

Filtered

164 candidates to 100 candidates (61.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes217.0ms

Accuracy

95.3% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

608.0ms

22237×

body

valid