Details

sample111.0ms

Algorithm

intervals

Results

43.0ms	536×	body	80	nan
31.0ms	220×	body	160	nan
19.0ms	256×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	1825
6	472
5	156
4	60
3	35
2	19
1	16
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ x (sqrt (- (* x x) 1))))
0.0b	(+ x (sqrt (- (* x x) 1)))
32.4b	(sqrt (- (* x x) 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`sqrt-prod`
5×	`pow1` `add-cube-cbrt` `add-log-exp`
4×	`log-prod` `add-exp-log`
3×	`add-cbrt-cube` `insert-posit16`
2×	`log-div` `flip3-+` `sqrt-div` `flip-+` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3--` `pow1/2` `difference-of-sqr-1` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 48

Calls

3 calls:

11.0ms	(log (+ x (sqrt (- (* x x) 1))))
12.0ms	(+ x (sqrt (- (* x x) 1)))
8.0ms	(sqrt (- (* x x) 1))

series225.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(log (+ x (sqrt (- (* x x) 1))))
58.0ms	(+ x (sqrt (- (* x x) 1)))
44.0ms	(sqrt (- (* x x) 1))

simplify438.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	2001
2	744
1	300
0	135

prune184.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x))))
0.0b	(+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x)))
0.1b	(* x (* x x))
0.3b	(/ 1/8 (* x (* x x)))

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`pow1` `add-exp-log`
18×	`add-cbrt-cube`
13×	`add-log-exp`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`log-prod` `prod-exp` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--`
5×	`pow-prod-up`
4×	`associate-+r+` `insert-posit16`
3×	`cbrt-undiv` `sum-log` `times-frac` `diff-log` `div-exp` `associate-l` `pow-prod-down` `associate-/l*`
2×	`log-div` `sub-neg` `flip3-+` `associate--l+` `flip-+`
1×	`pow2` `+-commutative` `clear-num` `associate-+r-` `associate-/r` `frac-2neg` `pow-plus` `cube-unmult` `rem-log-exp` `associate-r` `pow-sqr` `log-pow` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

215.0ms	(log (+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x))))
274.0ms	(+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x)))
19.0ms	(* x (* x x))
13.0ms	(/ 1/8 (* x (* x x)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(log (+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x))))
54.0ms	(+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x)))
43.0ms	(* x (* x x))
42.0ms	(/ 1/8 (* x (* x x)))

simplify582.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2021
2	1161
1	345
0	157

prune290.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (log (+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x)))))
0.1b	(* x (* x x))
0.3b	(/ 1/8 (* x (* x x)))
1.1b	(exp (log (log (+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x))))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
19×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`log-prod`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-up`
4×	`exp-prod` `exp-sum` `log-pow` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-l` `pow-prod-down` `associate-/l*`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `pow-plus` `cube-unmult` `rem-log-exp` `associate-r` `pow-sqr` `-commutative` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

4 → 80

Calls

4 calls:

2.0ms	(log (log (+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x)))))
26.0ms	(* x (* x x))
21.0ms	(/ 1/8 (* x (* x x)))
3.0ms	(exp (log (log (+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x))))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(log (log (+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x)))))
40.0ms	(* x (* x x))
56.0ms	(/ 1/8 (* x (* x x)))
116.0ms	(exp (log (log (+ x (- (- x (/ 1/8 (* x (* x x)))) (/ 1/2 x))))))

simplify722.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2002
2	1137
1	406
0	183

prune278.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.7s	7518×	body	160	nan
1.2s	16341×	body	80	nan
698.0ms	8000×	body	80	valid