Details

sample99.0ms

Algorithm

intervals

Results

42.0ms	111×	body	1280	valid
18.0ms	89×	body	640	valid
15.0ms	285×	body	80	valid
6.0ms	42×	body	320	valid
2.0ms	17×	body	160	valid

simplify59.0ms

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	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

9.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series104.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (cosh x) (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

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

prune171.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `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

3 → 184

Calls

3 calls:

26.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
29.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	628	1345
1	3020	1171
2	5002	1048

prune397.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 485

Calls

3 calls:

65.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
3.0ms	(/ 1 (sin y))
12.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
35.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

494 → 494

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1837	4747
1	5002	4111

prune924.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (* -1 x)) (sin y))))
0.0b	(* (sin y) (exp x))
0.0b	(* (exp (* -1 x)) (sin y))
0.1b	(/ (+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (* -1 x)) (sin y)))) y)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`add-cbrt-cube`
8×	`pow1` `add-exp-log`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*`
2×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `exp-neg` `fma-def` `frac-2neg` `mul-1-neg` `div-exp` `associate-*l/` `clear-num` `sum-log` `div-inv`

Counts

4 → 91

Calls

4 calls:

12.0ms	(+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (* -1 x)) (sin y))))
9.0ms	(* (sin y) (exp x))
6.0ms	(* (exp (* -1 x)) (sin y))
34.0ms	(/ (+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (* -1 x)) (sin y)))) y)

series244.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (* -1 x)) (sin y))))
28.0ms	(* (sin y) (exp x))
40.0ms	(* (exp (* -1 x)) (sin y))
88.0ms	(/ (+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (* -1 x)) (sin y)))) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	380	1095
1	1615	952
2	5001	931

prune296.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	2978×	body	1280	valid
546.0ms	2536×	body	640	valid
459.0ms	8628×	body	80	valid
183.0ms	1209×	body	320	valid
66.0ms	618×	body	160	valid