Details

sample155.0ms

Algorithm

intervals

Results

74.0ms	727×	body	80	nan
51.0ms	285×	body	80	valid

simplify2.2s

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

7.5b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.4b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b	(- a (/ 1.0 3.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
27×	`times-frac`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`associate-*r/` `sqrt-prod`
6×	`flip3--` `sqrt-div` `associate-r` `flip--` `add-log-exp`
4×	`associate-/r*` `associate-/r/` `insert-posit16` `difference-of-squares`
3×	`sub-neg` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `distribute-lft-in` `sqrt-pow1` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow1/2` `diff-log` `associate-l/` `-commutative`

Counts

4 → 113

Calls

4 calls:

Slowest

89.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
17.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
10.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
9.0ms	(- a (/ 1.0 3.0))

series341.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
118.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
66.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
26.0ms	(- a (/ 1.0 3.0))

simplify605.0ms

Counts: 125 → 125

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

7.5b	(* (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
0.3b	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
0.1b	(- a (/ 1.0 3.0))
0.1b	(- a (/ 1.0 3.0))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

441×	`times-frac`
359×	`add-sqr-sqrt`
253×	`*-un-lft-identity`
193×	`add-cube-cbrt`
164×	`sqrt-prod`
123×	`associate-l`
60×	`difference-of-squares`
30×	`distribute-lft-out--`
21×	`div-inv`
18×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
9×	`associate-/r*`
8×	`add-log-exp`
6×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-r` `flip--`
5×	`unswap-sqr`
4×	`sub-neg` `sqrt-div` `associate-/r/` `insert-posit16`
3×	`prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `diff-log` `associate-*r/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 348

Calls

4 calls:

Slowest

84.0ms	(* (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
22.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
5.0ms	(- a (/ 1.0 3.0))
5.0ms	(- a (/ 1.0 3.0))

series365.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
139.0ms	(* (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
43.0ms	(- a (/ 1.0 3.0))
41.0ms	(- a (/ 1.0 3.0))

simplify675.0ms

Counts: 360 → 360

prune3.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

7.5b	(* (* rand (/ 1/3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.4b	(/ 1/3 (sqrt (- a (/ 1.0 3.0))))
0.2b	(* rand (/ 1/3 (sqrt (- a (/ 1.0 3.0)))))
0.1b	(- a (/ 1.0 3.0))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
65×	`times-frac`
58×	`*-un-lft-identity`
43×	`sqrt-prod`
40×	`add-cube-cbrt`
39×	`associate-r`
20×	`add-cbrt-cube` `add-exp-log`
18×	`difference-of-squares`
11×	`pow1`
9×	`associate-/r*` `distribute-lft-out--`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/` `add-log-exp`
5×	`flip3--` `flip--`
4×	`sqrt-div` `associate-l` `pow-prod-down` `associate-/r/` `insert-posit16`
3×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/l*` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `diff-log` `associate-*l/`

Counts

4 → 157

Calls

4 calls:

Slowest

79.0ms	(* (* rand (/ 1/3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
38.0ms	(* rand (/ 1/3 (sqrt (- a (/ 1.0 3.0)))))
21.0ms	(/ 1/3 (sqrt (- a (/ 1.0 3.0))))
5.0ms	(- a (/ 1.0 3.0))

series441.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

171.0ms	(* rand (/ 1/3 (sqrt (- a (/ 1.0 3.0)))))
132.0ms	(* (* rand (/ 1/3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
101.0ms	(/ 1/3 (sqrt (- a (/ 1.0 3.0))))
36.0ms	(- a (/ 1.0 3.0))

simplify873.0ms

Counts: 169 → 169

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (/ (/ rand (cbrt 3)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
0.4b	(/ rand (cbrt 3))
0.4b	(/ (/ rand (cbrt 3)) (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (/ (/ 1 (* (cbrt 3) (cbrt 3))) 1) (* (/ (/ rand (cbrt 3)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

842×	`times-frac`
626×	`add-sqr-sqrt`
464×	`*-un-lft-identity`
372×	`add-cube-cbrt`
298×	`add-exp-log`
273×	`sqrt-prod`
229×	`associate-l`
185×	`cbrt-prod`
140×	`div-exp`
132×	`prod-exp`
92×	`difference-of-squares`
85×	`add-cbrt-cube`
46×	`distribute-lft-out--`
44×	`1-exp`
39×	`cbrt-undiv`
35×	`cbrt-unprod`
26×	`div-inv`
25×	`associate-/l*`
16×	`rec-exp`
15×	`associate-/r*`
11×	`frac-times` `pow1` `associate-*r/`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`flip3--` `flip--`
7×	`associate-r` `unswap-sqr`
6×	`sub-neg`
4×	`sqrt-div` `pow-prod-down` `associate-*l/` `associate-/r/` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`associate-/l/`

Counts

4 → 661

Calls

4 calls:

Slowest

107.0ms	(* (/ (/ 1 (* (cbrt 3) (cbrt 3))) 1) (* (/ (/ rand (cbrt 3)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
80.0ms	(* (/ (/ rand (cbrt 3)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
25.0ms	(/ (/ rand (cbrt 3)) (sqrt (- a (/ 1.0 3.0))))
8.0ms	(/ rand (cbrt 3))

series861.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

291.0ms	(/ (/ rand (cbrt 3)) (sqrt (- a (/ 1.0 3.0))))
249.0ms	(* (/ (/ 1 (* (cbrt 3) (cbrt 3))) 1) (* (/ (/ rand (cbrt 3)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
243.0ms	(* (/ (/ rand (cbrt 3)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
78.0ms	(/ rand (cbrt 3))

simplify1.6s

Counts: 673 → 673

prune9.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes167.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch4.0ms

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.8s	27577×	body	80	nan
1.7s	9082×	body	80	valid