Details

sample71.0ms

Algorithm

intervals

Results

42.0ms

715×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2733
6	751
5	308
4	183
3	84
2	39
1	18
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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

Counts

2 → 60

Calls

2 calls:

24.0ms	(* (cosh x) (/ y x))
22.0ms	(/ (* (cosh x) (/ y x)) z)

series297.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(* (cosh x) (/ y x))
174.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5002
2	1310
1	345
0	137

prune398.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1/2 (exp x)) (* 1/2 (exp x)))
0.0b	(* (/ y x) (+ (/ 1/2 (exp x)) (* 1/2 (exp x))))
0.0b	(/ 1/2 (exp x))
5.9b	(/ (* (/ y x) (+ (/ 1/2 (exp x)) (* 1/2 (exp x)))) z)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

18.0ms	(+ (/ 1/2 (exp x)) (* 1/2 (exp x)))
64.0ms	(* (/ y x) (+ (/ 1/2 (exp x)) (* 1/2 (exp x))))
5.0ms	(/ 1/2 (exp x))
39.0ms	(/ (* (/ y x) (+ (/ 1/2 (exp x)) (* 1/2 (exp x)))) z)

series434.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (/ 1/2 (exp x)) (* 1/2 (exp x)))
167.0ms	(* (/ y x) (+ (/ 1/2 (exp x)) (* 1/2 (exp x))))
19.0ms	(/ 1/2 (exp x))
188.0ms	(/ (* (/ y x) (+ (/ 1/2 (exp x)) (* 1/2 (exp x)))) z)

simplify2.6s

Counts

118 → 118

Iterations

Iter	Nodes
done	5003
2	2826
1	629
0	206

prune755.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite107.0ms

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×	`associate-/r*` `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 → 94

Calls

3 calls:

13.0ms	(* (cosh x) y)
42.0ms	(* (* (cosh x) y) (/ 1 x))
46.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

series367.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* (cosh x) y)
96.0ms	(* (* (cosh x) y) (/ 1 x))
173.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1839
1	497
0	184

prune430.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

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×	`*-commutative` `div-inv` `add-log-exp` `unswap-sqr`
1×	`un-div-inv`

Counts

2 → 84

Calls

2 calls:

24.0ms	(* (cosh x) (/ y x))
51.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

series273.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(* (cosh x) (/ y x))
175.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify1.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1797
1	500
0	179

prune384.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes451.0ms

Accuracy

94.1% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 8.1b

bsearch125.0ms

Steps

Iters	Range		Point
8	3.720062916098663e-73	1.82665771138785e-68	8.053275837647428e-71
9	-1.4268645596725737e+27	-2.636463246890556e+21	-3.3600391477343556e+22

simplify5.0ms

Iterations

Iter	Nodes
done	36
1	36
0	27

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.6s

22417×

body

valid