Details

sample151.0ms

Algorithm

intervals

Results

70.0ms	838×	body	80	nan
24.0ms	292×	body	80	valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	72	20
3	188	20
4	417	20
5	772	20
6	1496	20
7	2490	20
8	3402	20
9	4724	20
done	5000	20

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 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)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite231.0ms

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:

83.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
111.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
20.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series815.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
289.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
213.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
115.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.9s

Counts

126 → 126

Iterations

Useful iterations: 2 (676.0ms)

Iter	Nodes	Cost
0	303	2615
1	823	2480
2	2958	2274
done	5002	2274

prune477.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.0b	(* (- 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))))

rewrite256.0ms

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:

67.0ms	(* 9.0 (- a (/ 1.0 3.0)))
144.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
28.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 9.0 (- a (/ 1.0 3.0)))
166.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
250.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
90.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.9s

Counts

109 → 109

Iterations

Useful iterations: 2 (587.0ms)

Iter	Nodes	Cost
0	264	2121
1	744	1996
2	2825	1812
done	5000	1812

prune429.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

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

rewrite234.0ms

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:

50.0ms	(* 9.0 (- a (/ 1.0 3.0)))
23.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
17.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
138.0ms	(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

series681.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* 9.0 (- a (/ 1.0 3.0)))
295.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
91.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
219.0ms	(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

simplify1.4s

Counts

114 → 114

Iterations

Useful iterations: 2 (512.0ms)

Iter	Nodes	Cost
0	261	2035
1	692	1939
2	2560	1715
done	5000	1715

prune456.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
1.0b	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))
9.0b	(* (- a (/ 1.0 3.0)) (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

83×	`times-frac`
62×	`add-exp-log`
51×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
39×	`add-cube-cbrt`
32×	`add-cbrt-cube`
29×	`associate-r`
26×	`div-exp`
17×	`prod-exp`
12×	`cbrt-undiv`
10×	`pow1` `sqrt-prod` `div-inv`
9×	`associate-/r*`
7×	`cbrt-unprod` `associate-/l*`
6×	`rec-exp` `1-exp` `associate-l`
5×	`associate-*r/`
4×	`flip3--` `sqrt-div` `flip--` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-times` `frac-2neg` `sqrt-pow1` `pow-prod-down` `associate-*l/` `clear-num` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`pow-flip` `pow1/2` `un-div-inv` `*-commutative` `distribute-lft-out--` `inv-pow`

Counts

4 → 165

Calls

4 calls:

21.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))
12.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
37.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))
157.0ms	(* (- a (/ 1.0 3.0)) (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))))

series840.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))
117.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
261.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))
216.0ms	(* (- a (/ 1.0 3.0)) (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))))

simplify1.5s

Counts

177 → 177

Iterations

Useful iterations: 2 (648.0ms)

Iter	Nodes	Cost
0	366	3922
1	957	3487
2	3136	3067
done	5001	3067

prune515.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	28
1	23	26
done	23	26

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.3s	27510×	body	80	nan
1.1s	9104×	body	80	valid