Details

sample91.0ms

Algorithm

intervals

Results

37.0ms	822×	body	80	nan
14.0ms	289×	body	80	valid

simplify1.7s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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

rewrite202.0ms

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:

74.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
18.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
85.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
21.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series840.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
120.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
327.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
226.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.5s

Counts: 126 → 126

prune514.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
9.2b	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-l`
23×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
8×	`sqrt-prod`
7×	`associate-*r/` `prod-exp` `cbrt-unprod`
6×	`sqrt-div` `associate-*l/`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`associate-r` `associate-/r*` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`frac-times` `sqrt-pow1` `*-commutative` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 111

Calls

4 calls:

12.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
118.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
31.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
256.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series766.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
267.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
162.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
230.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify1.4s

Counts: 123 → 123

prune569.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))
9.2b	(* (- a (/ 1.0 3.0)) (* (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand))

rewrite953.0ms

Algorithm

rewrite-expression-head

Rules

256×	`add-sqr-sqrt`
211×	`sqrt-prod`
198×	`times-frac`
124×	`*-un-lft-identity`
96×	`add-cube-cbrt`
64×	`associate-r`
61×	`add-exp-log` `add-cbrt-cube`
47×	`associate-l`
28×	`prod-exp` `cbrt-unprod` `difference-of-squares`
25×	`unswap-sqr`
20×	`pow1`
19×	`associate-*l/`
14×	`distribute-lft-out--`
13×	`cbrt-undiv` `div-exp`
11×	`frac-times`
10×	`pow-prod-down`
9×	`associate-/r*`
8×	`associate-*r/`
6×	`flip3--` `flip--` `associate-/l*`
4×	`sqrt-div` `associate-/r/` `add-log-exp`
3×	`sqrt-undiv` `*-commutative` `div-inv`
1×	`frac-2neg` `sqrt-unprod` `clear-num`

Counts

4 → 298

Calls

4 calls:

146.0ms	(* (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)
31.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
180.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))
577.0ms	(* (- a (/ 1.0 3.0)) (* (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand))

series1.5s

Counts

4 → 12

Calls

4 calls:

526.0ms	(* (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)
188.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
314.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))
445.0ms	(* (- a (/ 1.0 3.0)) (* (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand))

simplify781.0ms

Counts: 310 → 310

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite654.0ms

Algorithm

rewrite-expression-head

Rules

828×	`times-frac`
611×	`add-sqr-sqrt`
464×	`sqrt-prod`
455×	`*-un-lft-identity`
367×	`add-cube-cbrt`
203×	`associate-l`
88×	`difference-of-squares`
44×	`distribute-lft-out--`
36×	`associate-/l*`
34×	`add-exp-log` `add-cbrt-cube`
28×	`sqrt-div` `associate-/r/`
18×	`flip3--` `flip--`
16×	`div-inv`
15×	`associate-/r*`
11×	`pow1`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`associate-*l/` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 571

Calls

4 calls:

221.0ms	(* (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) (- a (/ 1.0 3.0)))
265.0ms	(* (* (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) (- a (/ 1.0 3.0))) rand)
78.0ms	(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
29.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

series922.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) (- a (/ 1.0 3.0)))
270.0ms	(* (* (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) (- a (/ 1.0 3.0))) rand)
279.0ms	(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
116.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

simplify943.0ms

Counts: 583 → 583

prune2.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

-4% (0.1b remaining)

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

bsearch0.0ms

simplify1.6s

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	26727×	body	80	nan
1.0s	9085×	body	80	valid