Details

sample159.0ms

Algorithm

intervals

Results

80.0ms	869×	body	80	nan
20.0ms	289×	body	80	valid

simplify9.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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)))))

rewrite248.0ms

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:

73.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
21.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
102.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
44.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series746.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
134.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
247.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
192.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.9s

Counts

126 → 126

Iterations

Useful iterations: 2 (589.0ms)

Iter	Nodes	Cost
0	303	2615
1	823	2480
2	2960	2274
done	5002	2274

prune521.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

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

rewrite227.0ms

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:

51.0ms	(* 9.0 (- a (/ 1.0 3.0)))
130.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
19.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
22.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series693.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* 9.0 (- a (/ 1.0 3.0)))
188.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
130.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
294.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.8s

Counts

109 → 109

Iterations

Useful iterations: 2 (557.0ms)

Iter	Nodes	Cost
0	264	2121
1	744	1996
2	2820	1812
done	5002	1812

prune468.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

148.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))))
14.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
30.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))
54.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))

series803.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))))
106.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
258.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand))
267.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (* 1.0 rand)))

simplify2.0s

Counts

143 → 143

Iterations

Useful iterations: 2 (777.0ms)

Iter	Nodes	Cost
0	345	3322
1	943	3027
2	3250	2647
done	5000	2647

prune588.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-sqr-sqrt`
82×	`times-frac`
70×	`*-un-lft-identity`
61×	`associate-l`
54×	`add-cube-cbrt`
52×	`add-exp-log` `sqrt-prod`
34×	`add-cbrt-cube`
23×	`prod-exp`
16×	`difference-of-squares`
13×	`pow1` `cbrt-unprod`
12×	`div-exp`
9×	`associate-/r*`
8×	`distribute-lft-out--`
7×	`cbrt-undiv` `associate-r`
6×	`associate-*l/`
5×	`frac-times` `flip3--` `pow-prod-down` `flip--`
4×	`sqrt-div` `associate-/r/` `add-log-exp` `unswap-sqr`
3×	`rec-exp` `flip3-+` `1-exp` `associate-r/` `-commutative` `flip-+` `div-inv` `associate-/l*`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num`

Counts

4 → 191

Calls

4 calls:

55.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
92.0ms	(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
40.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
106.0ms	(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series915.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
240.0ms	(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
121.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
374.0ms	(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify2.2s

Counts

203 → 203

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	402	4116
1	1053	3677
2	3735	3331
done	5000	3325

prune911.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.2s	26942×	body	80	nan
748.0ms	9096×	body	80	valid