Details

sample55.0ms

Algorithm

intervals

Results

28.0ms

668×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1941
5	509
4	226
3	102
2	41
1	18
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
6.9b	(/ (* (cosh x) (/ y x)) z)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

2.0ms	(cosh x)
19.0ms	(* (cosh x) (/ y x))
11.0ms	(/ (* (cosh x) (/ y x)) z)

series366.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(cosh x)
119.0ms	(* (cosh x) (/ y x))
186.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1873
1	388
0	156

prune447.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp x) 1/2 (/ 1/2 (exp x)))
0.0b	(/ 1/2 (exp x))
0.2b	(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) (/ x y))
6.9b	(/ (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) (/ x y)) z)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
239×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
50×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`associate-/r*` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`fma-udef` `associate-/l/`

Counts

4 → 309

Calls

4 calls:

0.0ms	(fma (exp x) 1/2 (/ 1/2 (exp x)))
6.0ms	(/ 1/2 (exp x))
13.0ms	(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) (/ x y))
25.0ms	(/ (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) (/ x y)) z)

series357.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(fma (exp x) 1/2 (/ 1/2 (exp x)))
14.0ms	(/ 1/2 (exp x))
132.0ms	(/ (fma (exp x) 1/2 (/ 1/2 (exp x))) (/ x y))
161.0ms	(/ (/ (fma (exp x) 1/2 (/ 1/2 (exp x))) (/ x y)) z)

simplify1.3s

Counts

321 → 321

Iterations

Iter	Nodes
done	5000
1	1379
0	546

prune2.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/2 (exp x) (/ 1/2 (exp x)))
0.0b	(/ (fma 1/2 (exp x) (/ 1/2 (exp x))) x)
0.0b	(/ 1/2 (exp x))
4.9b	(* (/ (fma 1/2 (exp x) (/ 1/2 (exp x))) x) (/ y z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

0.0ms	(fma 1/2 (exp x) (/ 1/2 (exp x)))
4.0ms	(/ (fma 1/2 (exp x) (/ 1/2 (exp x))) x)
6.0ms	(/ 1/2 (exp x))
28.0ms	(* (/ (fma 1/2 (exp x) (/ 1/2 (exp x))) x) (/ y z))

series290.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma 1/2 (exp x) (/ 1/2 (exp x)))
101.0ms	(/ (fma 1/2 (exp x) (/ 1/2 (exp x))) x)
11.0ms	(/ 1/2 (exp x))
130.0ms	(* (/ (fma 1/2 (exp x) (/ 1/2 (exp x))) x) (/ y z))

simplify2.5s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	3113
1	540
0	212

prune905.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/2 (exp x) (/ 1/2 (exp x)))
0.0b	(/ z (fma 1/2 (exp x) (/ 1/2 (exp x))))
0.0b	(/ 1/2 (exp x))
5.4b	(/ (/ 1 x) (/ (/ z (fma 1/2 (exp x) (/ 1/2 (exp x)))) y))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

1897×	`times-frac`
818×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
103×	`div-inv`
49×	`associate-/r*`
46×	`add-exp-log`
32×	`div-exp`
29×	`add-cbrt-cube`
19×	`associate-/l*`
17×	`cbrt-undiv`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`associate-/r/` `fma-udef` `associate-/l/`

Counts

4 → 715

Calls

4 calls:

0.0ms	(fma 1/2 (exp x) (/ 1/2 (exp x)))
4.0ms	(/ z (fma 1/2 (exp x) (/ 1/2 (exp x))))
6.0ms	(/ 1/2 (exp x))
54.0ms	(/ (/ 1 x) (/ (/ z (fma 1/2 (exp x) (/ 1/2 (exp x)))) y))

series468.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(fma 1/2 (exp x) (/ 1/2 (exp x)))
166.0ms	(/ z (fma 1/2 (exp x) (/ 1/2 (exp x))))
19.0ms	(/ 1/2 (exp x))
203.0ms	(/ (/ 1 x) (/ (/ z (fma 1/2 (exp x) (/ 1/2 (exp x)))) y))

simplify4.2s

Counts

727 → 727

Iterations

Iter	Nodes
done	5001
1	4685
0	1275

prune4.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes225.0ms

Accuracy

94.2% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 7.0b

bsearch154.0ms

Steps

Iters	Range		Point
8	3.666865576099459e-52	3.9792464355012193e-48	2.1086336427057285e-48
10	-2.8184349470391973e+51	-1.5532570937414188e+37	-1.5778803037148576e+37

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.7s

22172×

body

valid