Details

sample75.0ms

Algorithm

intervals

Results

57.0ms

308×

body

valid

simplify2.0s

Counts: 1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ PI b)
0.3b	(/ PI a)
0.2b	(/ (- (/ PI a) (/ PI b)) (- b a))
0.1b	(/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

952×	`times-frac`
786×	`*-un-lft-identity`
776×	`add-sqr-sqrt`
258×	`add-cube-cbrt`
228×	`distribute-lft-out--`
197×	`difference-of-squares`
84×	`associate-/l*`
71×	`div-inv`
67×	`distribute-lft-out`
15×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
14×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
3×	`div-sub`
1×	`flip3-+` `frac-sub` `flip-+`

Counts

4 → 505

Calls

4 calls:

Slowest

37.0ms	(/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b))
35.0ms	(/ (- (/ PI a) (/ PI b)) (- b a))
9.0ms	(/ PI b)
7.0ms	(/ PI a)

series233.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

98.0ms	(/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b))
51.0ms	(/ (- (/ PI a) (/ PI b)) (- b a))
44.0ms	(/ PI b)
41.0ms	(/ PI a)

simplify815.0ms

Counts: 517 → 517

prune5.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (/ 1 a) (/ 1 b)) (- b a))
0.2b	(* PI (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b)))
0.1b	(/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b))
0.0b	(- (/ 1 a) (/ 1 b))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

2697×	`times-frac`
2203×	`add-sqr-sqrt`
2184×	`*-un-lft-identity`
659×	`difference-of-squares`
564×	`add-cube-cbrt`
555×	`distribute-lft-out--`
410×	`associate-r`
220×	`div-inv`
203×	`distribute-lft-out`
120×	`associate-/l*`
24×	`associate-/r/`
20×	`add-cbrt-cube` `add-exp-log`
12×	`flip3--` `flip--`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp`
4×	`insert-posit16` `associate-/l/`
3×	`div-sub` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3-+` `frac-sub` `flip-+`
1×	`sub-neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 1129

Calls

4 calls:

Slowest

106.0ms	(* PI (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b)))
78.0ms	(/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b))
56.0ms	(/ (- (/ 1 a) (/ 1 b)) (- b a))
22.0ms	(- (/ 1 a) (/ 1 b))

series307.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

115.0ms	(* PI (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b)))
101.0ms	(/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b))
66.0ms	(/ (- (/ 1 a) (/ 1 b)) (- b a))
25.0ms	(- (/ 1 a) (/ 1 b))

simplify2.0s

Counts: 1141 → 1141

prune13.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI (/ (- (/ 1 a) (/ 1 b)) (- b a)))
0.3b	(/ (- (/ 1 a) (/ 1 b)) (- b a))
0.1b	(/ (* PI (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ a b))
0.0b	(- (/ 1 a) (/ 1 b))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

453×	`add-sqr-sqrt`
411×	`times-frac`
356×	`*-un-lft-identity`
147×	`difference-of-squares`
123×	`distribute-lft-out--`
101×	`associate-r`
82×	`add-cube-cbrt`
51×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`associate-/r*`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r/` `add-log-exp`
4×	`flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `associate-/l/`
3×	`associate-l`
2×	`clear-num` `frac-2neg` `associate-*r/` `frac-sub` `distribute-lft-out` `unswap-sqr`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 318

Calls

4 calls:

Slowest

47.0ms	(* PI (/ (- (/ 1 a) (/ 1 b)) (- b a)))
33.0ms	(/ (- (/ 1 a) (/ 1 b)) (- b a))
28.0ms	(/ (* PI (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ a b))
11.0ms	(- (/ 1 a) (/ 1 b))

series188.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(/ (* PI (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ a b))
52.0ms	(* PI (/ (- (/ 1 a) (/ 1 b)) (- b a)))
36.0ms	(/ (- (/ 1 a) (/ 1 b)) (- b a))
15.0ms	(- (/ 1 a) (/ 1 b))

simplify1.2s

Counts: 330 → 330

prune3.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.6b	(/ PI (* a b))
0.1b	(/ (/ PI (* a b)) (+ a b))
0.0b	(* (/ (/ PI (* a b)) (+ a b)) 1/2)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
70×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
34×	`associate-l`
31×	`add-cbrt-cube` `add-exp-log`
15×	`distribute-lft-out`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
7×	`prod-exp` `cbrt-unprod`
5×	`pow1` `associate-/r*`
4×	`associate-/r/`
3×	`associate-r` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

3 → 139

Calls

3 calls:

Slowest

65.0ms	(* (/ (/ PI (* a b)) (+ a b)) 1/2)
29.0ms	(/ (/ PI (* a b)) (+ a b))
13.0ms	(/ PI (* a b))

series249.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

109.0ms	(/ (/ PI (* a b)) (+ a b))
98.0ms	(* (/ (/ PI (* a b)) (+ a b)) 1/2)
40.0ms	(/ PI (* a b))

simplify622.0ms

Counts: 148 → 148

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

2.0s

9636×

body

valid