Details

sample141.0ms

Algorithm

intervals

Results

63.0ms	803×	body	80	nan
21.0ms	288×	body	80	valid

simplify1.8s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `times-frac`
24×	`add-cube-cbrt` `associate-l`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`associate-*r/` `sqrt-prod`
6×	`flip3--` `sqrt-div` `associate-r` `flip--`
4×	`frac-times` `associate-/r*` `associate-/r/` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 114

Calls

4 calls:

70.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
19.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
144.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
24.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
186.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
264.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
111.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.6s

Counts: 126 → 126

prune546.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.2b	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`add-cube-cbrt` `associate-r`
9×	`associate-l`
8×	`associate-*r/`
6×	`flip3--` `times-frac` `flip--`
4×	`frac-times` `sqrt-div` `associate-/r*` `add-log-exp` `difference-of-squares`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `sub-neg` `sqrt-pow1` `div-exp` `associate-l/` `associate-/r/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

56.0ms	(* 9.0 (- a (/ 1.0 3.0)))
127.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
34.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
20.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series634.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* 9.0 (- a (/ 1.0 3.0)))
195.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
292.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
88.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.6s

Counts: 109 → 109

prune519.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.2b	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
7.6b	(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
15×	`*-un-lft-identity`
11×	`pow1` `add-cube-cbrt`
10×	`times-frac`
9×	`associate-r/` `associate-l*`
6×	`flip3--` `sqrt-div` `prod-exp` `flip--` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r*` `sqrt-prod` `associate-/r/` `add-log-exp` `difference-of-squares`
3×	`pow-prod-down`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `sqrt-pow1` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

57.0ms	(* 9.0 (- a (/ 1.0 3.0)))
30.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
23.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
104.0ms	(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

series661.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* 9.0 (- a (/ 1.0 3.0)))
251.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
101.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
236.0ms	(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

simplify1.2s

Counts: 114 → 114

prune378.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.2b	(/ rand (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt 9.0)))
7.7b	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt 9.0))) (/ rand (sqrt (- a (/ 1.0 3.0)))))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
83×	`times-frac`
71×	`*-un-lft-identity`
58×	`sqrt-prod`
55×	`associate-r`
53×	`add-cube-cbrt`
32×	`add-exp-log` `add-cbrt-cube`
18×	`difference-of-squares`
12×	`pow1` `prod-exp` `cbrt-unprod`
11×	`frac-times` `associate-*l/`
9×	`flip3--` `associate-/r*` `flip--` `distribute-lft-out--`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`sqrt-div`
4×	`associate-*r/` `pow-prod-down` `associate-/r/` `add-log-exp`
3×	`div-inv` `associate-/l*` `unswap-sqr`
2×	`*-commutative`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 187

Calls

4 calls:

28.0ms	(sqrt (- a (/ 1.0 3.0)))
25.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
64.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt 9.0)))
187.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt 9.0))) (/ rand (sqrt (- a (/ 1.0 3.0)))))

series549.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (- a (/ 1.0 3.0)))
104.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
129.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt 9.0)))
278.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt 9.0))) (/ rand (sqrt (- a (/ 1.0 3.0)))))

simplify1.8s

Counts: 199 → 199

prune871.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes109.0ms

Accuracy

-6.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.7s

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.2s	27351×	body	80	nan
1.0s	9137×	body	80	valid