Details

sample137.0ms

Algorithm

intervals

Results

61.0ms	961×	body	80	nan
20.0ms	294×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	72	20
3	190	20
4	459	20
5	929	20
6	1800	20
7	3828	20
done	5000	20

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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

rewrite222.0ms

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)))
101.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
31.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series731.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
268.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
211.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
113.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify2.6s

Counts

126 → 126

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	303	2615
1	857	2480
2	4527	2306
done	5002	2304

prune525.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 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	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
10.2b	(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

79.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
27.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
23.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
342.0ms	(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

series773.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
185.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
83.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
232.0ms	(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

simplify2.5s

Counts

127 → 127

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	298	2467
1	815	2371
2	4228	2131
done	5001	2125

prune578.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- a (/ 1.0 3.0)) 1.0) (* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0))))
0.2b	(* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
10.2b	(* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)))

rewrite499.0ms

Algorithm

rewrite-expression-head

Rules

794×	`times-frac`
598×	`add-sqr-sqrt`
446×	`sqrt-prod`
436×	`*-un-lft-identity`
344×	`add-cube-cbrt`
205×	`associate-l`
92×	`difference-of-squares`
46×	`distribute-lft-out--`
32×	`add-exp-log` `add-cbrt-cube`
23×	`associate-*l/`
22×	`associate-/l*`
21×	`div-inv`
13×	`flip3--` `flip--`
11×	`pow1`
10×	`frac-add` `prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp` `associate-r` `associate-/r*`
7×	`unswap-sqr`
6×	`frac-times` `associate-*r/` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `sqrt-div` `pow-prod-down` `associate-/r/`
2×	`*-commutative`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `associate-/l/`

Counts

4 → 535

Calls

4 calls:

27.0ms	(+ (* (- a (/ 1.0 3.0)) 1.0) (* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0))))
155.0ms	(* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
63.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
189.0ms	(* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

238.0ms	(+ (* (- a (/ 1.0 3.0)) 1.0) (* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0))))
282.0ms	(* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
250.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
243.0ms	(* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)))

simplify988.0ms

Counts

547 → 547

Iterations

Useful iterations: done (966.0ms)

Iter	Nodes	Cost
0	687	12688
1	1923	11887
done	5001	11539

prune2.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- a (/ 1.0 3.0)) 1.0) (* (/ (* (/ 1.0 (sqrt 9.0)) rand) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
0.3b	(/ (* (/ 1.0 (sqrt 9.0)) rand) (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (/ 1.0 (sqrt 9.0)) rand)
10.2b	(* (/ (* (/ 1.0 (sqrt 9.0)) rand) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 153

Calls

4 calls:

38.0ms	(+ (* (- a (/ 1.0 3.0)) 1.0) (* (/ (* (/ 1.0 (sqrt 9.0)) rand) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
59.0ms	(/ (* (/ 1.0 (sqrt 9.0)) rand) (sqrt (- a (/ 1.0 3.0))))
40.0ms	(* (/ 1.0 (sqrt 9.0)) rand)
189.0ms	(* (/ (* (/ 1.0 (sqrt 9.0)) rand) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))

series835.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(+ (* (- a (/ 1.0 3.0)) 1.0) (* (/ (* (/ 1.0 (sqrt 9.0)) rand) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
276.0ms	(/ (* (/ 1.0 (sqrt 9.0)) rand) (sqrt (- a (/ 1.0 3.0))))
87.0ms	(* (/ 1.0 (sqrt 9.0)) rand)
262.0ms	(* (/ (* (/ 1.0 (sqrt 9.0)) rand) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))

simplify543.0ms

Counts

165 → 165

Iterations

Useful iterations: done (535.0ms)

Iter	Nodes	Cost
0	354	4004
1	1061	3738
done	5000	3432

prune717.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	27
1	19	27
done	19	27

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.5s	27499×	body	80	nan
780.0ms	9126×	body	80	valid