Details

sample146.0ms

Algorithm

intervals

Results

58.0ms	103×	body	1280	valid
25.0ms	72×	body	640	valid
23.0ms	292×	body	80	valid
11.0ms	47×	body	320	valid
3.0ms	16×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	96	7
5	179	7
6	751	7
done	5001	7

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)

rewrite43.0ms

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` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 61

Calls

2 calls:

31.0ms	(* (cosh x) (/ (sin y) y))
9.0ms	(/ (sin y) y)

series171.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(* (cosh x) (/ (sin y) y))
49.0ms	(/ (sin y) y)

simplify878.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (198.0ms)

Iter	Nodes	Cost
0	120	663
1	275	632
2	1274	574
done	5000	574

prune272.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-l` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `associate-/r*`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

83.0ms	(* (+ (exp x) (exp (- x))) (sin y))
125.0ms	(/ (* 1/2 (* (+ (exp x) (exp (- x))) (sin y))) y)

series188.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (+ (exp x) (exp (- x))) (sin y))
116.0ms	(/ (* 1/2 (* (+ (exp x) (exp (- x))) (sin y))) y)

simplify1.4s

Counts

52 → 52

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	127	829
1	366	785
2	2333	658
done	5001	654

prune284.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite129.0ms

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×	`associate-l` `cbrt-unprod` `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 → 178

Calls

3 calls:

77.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
11.0ms	(/ y (sin y))
22.0ms	(/ 1 (/ y (sin y)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
31.0ms	(/ y (sin y))
49.0ms	(/ 1 (/ y (sin y)))

simplify549.0ms

Counts

187 → 187

Iterations

Useful iterations: done (543.0ms)

Iter	Nodes	Cost
0	259	2334
1	690	1868
done	5000	1712

prune493.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize19.0ms

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)))

rewrite211.0ms

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×	`associate-l` `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 → 479

Calls

3 calls:

125.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
12.0ms	(/ 1 (sin y))
34.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
16.0ms	(/ 1 (sin y))
41.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.8s

Counts

488 → 488

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	624	8547
1	2217	6482
done	5000	5657

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.0s	3006×	body	1280	valid
1.1s	8566×	body	80	valid
973.0ms	2479×	body	640	valid
305.0ms	1265×	body	320	valid
104.0ms	654×	body	160	valid