Details

sample103.0ms

Algorithm

intervals

Results

37.0ms	869×	body	80	nan
27.0ms	289×	body	80	valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	76	19
3	206	19
4	503	19
5	992	19
6	2080	19
7	3449	19
done	5000	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
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)))))

rewrite214.0ms

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×	`expm1-log1p-u` `frac-times` `associate-/r*` `associate-/r/` `log1p-expm1-u` `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 → 122

Calls

4 calls:

57.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
56.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
70.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
24.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series834.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
126.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
288.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
225.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.6s

Counts

134 → 134

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	311	2723
1	860	2576
2	3117	2342
done	5000	2340

prune626.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

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

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
85×	`add-cube-cbrt`
78×	`prod-diff`
68×	`times-frac`
42×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`associate-*r/`
7×	`div-inv`
6×	`flip3--` `flip--`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `frac-times` `sqrt-div` `associate-/r*` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`flip3-+` `pow-prod-down` `flip-+` `associate-/l*`
2×	`sub-neg` `sqrt-pow1` `associate-l/` `prod-exp` `associate-/r/` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-exp` `clear-num`

Counts

4 → 190

Calls

4 calls:

92.0ms	(* 9.0 (- a (/ 1.0 3.0)))
72.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0))))))))
57.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
34.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series617.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* 9.0 (- a (/ 1.0 3.0)))
159.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0))))))))
127.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
272.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.8s

Counts

202 → 202

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	495	5689
1	1127	5171
2	3650	3969
done	5001	3617

prune652.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)))))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)
1.1b	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

109×	`times-frac`
71×	`add-sqr-sqrt`
66×	`*-un-lft-identity`
64×	`add-cube-cbrt`
19×	`add-exp-log` `associate-/r*`
17×	`sqrt-prod`
13×	`add-cbrt-cube`
10×	`pow1`
8×	`div-exp`
7×	`associate-/l*`
6×	`associate-r/` `associate-l*` `div-inv`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `associate-r` `flip-+`
2×	`rec-exp` `frac-2neg` `sqrt-pow1` `1-exp` `pow-prod-down` `associate-*l/` `clear-num` `associate-/l/` `difference-of-squares`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow1/2` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `unswap-sqr`

Counts

4 → 173

Calls

4 calls:

55.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)))))
50.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
34.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)
62.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))

series723.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)))))
93.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
207.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)
248.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))

simplify2.0s

Counts

185 → 185

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	396	4153
1	1041	3800
2	3329	3323
done	5001	3319

prune920.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-sqr-sqrt`
175×	`sqrt-prod`
162×	`times-frac`
125×	`*-un-lft-identity`
106×	`associate-l`
97×	`add-cube-cbrt`
34×	`add-exp-log` `add-cbrt-cube`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
13×	`pow1` `prod-exp` `cbrt-unprod`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp` `associate-r`
6×	`associate-l/` `associate-/l` `unswap-sqr`
5×	`frac-times` `flip3--` `pow-prod-down` `flip--`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `associate-r/` `-commutative` `flip-+` `div-inv`
1×	`distribute-rgt-in` `sqrt-undiv` `frac-2neg` `distribute-lft-in` `clear-num`

Counts

4 → 271

Calls

4 calls:

87.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
94.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
38.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
138.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

series1.3s

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
323.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
132.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
520.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

simplify2.7s

Counts

283 → 283

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	444	5995
1	1210	5597
2	4913	4889
done	5000	4889

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	21	22
done	21	22

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.2s	26942×	body	80	nan
1.1s	9096×	body	80	valid