Details

sample82.0ms

Algorithm

intervals

Results

43.0ms

715×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2849
6	771
5	316
4	187
3	84
2	39
1	18
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
5.9b	(/ (* (cosh x) (/ y x)) z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

11.0ms	(* (cosh x) (/ y x))
10.0ms	(/ (* (cosh x) (/ y x)) z)

series269.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(* (cosh x) (/ y x))
161.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1331
1	352
0	141

prune514.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) y)
0.2b	(* (* (cosh x) y) (/ 1 x))
5.9b	(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 100

Calls

3 calls:

12.0ms	(* (cosh x) y)
30.0ms	(* (* (cosh x) y) (/ 1 x))
23.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

series425.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(* (cosh x) y)
112.0ms	(* (* (cosh x) y) (/ 1 x))
188.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1902
1	529
0	190

prune593.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
6.0b	(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`associate-r`
22×	`add-sqr-sqrt` `prod-exp`
19×	`times-frac`
17×	`*-un-lft-identity` `add-cube-cbrt`
12×	`cbrt-unprod`
11×	`div-exp`
9×	`pow1`
6×	`frac-times` `cbrt-undiv` `cosh-def` `associate-*l/`
4×	`associate-l` `pow-prod-down` `associate-*r/`
3×	`rec-exp` `1-exp`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`un-div-inv`

Counts

2 → 88

Calls

2 calls:

23.0ms	(* (cosh x) (/ y x))
59.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

series299.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(* (cosh x) (/ y x))
181.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify1.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	1825
1	507
0	183

prune397.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

3.9b	(cbrt (/ (* (* (cosh x) y) (/ 1 x)) z))
5.9b	(/ (* (* (cosh x) y) (/ 1 x)) z)
5.9b	(/ (* (* (cosh x) y) (/ 1 x)) z)
5.9b	(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
58×	`add-cbrt-cube`
39×	`div-exp`
36×	`prod-exp`
21×	`cbrt-undiv`
18×	`cbrt-unprod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt` `associate-/l/`
9×	`associate-/r` `associate-l/`
7×	`cbrt-prod`
6×	`rec-exp` `cosh-def` `1-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-times` `clear-num` `frac-2neg` `associate-r/` `un-div-inv` `associate-/l`
1×	`cbrt-div` `pow1/3`

Counts

4 → 129

Calls

4 calls:

354.0ms	(cbrt (/ (* (* (cosh x) y) (/ 1 x)) z))
41.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)
29.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)
23.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

series771.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt (/ (* (* (cosh x) y) (/ 1 x)) z))
167.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)
179.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)
163.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify1.5s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	1558
1	449
0	171

prune746.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes316.0ms

Accuracy

94.4% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 8.2b

bsearch119.0ms

Steps

Iters	Range		Point
8	3.720062916098663e-73	1.82665771138785e-68	1.1886384957013337e-69
8	-1.3172724108510799e-14	-4.494774876304711e-17	-4.641117804463788e-16

simplify4.0ms

Iterations

Iter	Nodes
done	32
1	32
0	24

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s

22417×

body

valid