Details

sample176.0ms

Algorithm

intervals

Results

94.0ms	1060×	body	80	nan
19.0ms	300×	body	80	valid

simplify7.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2855
6	1644
5	941
4	490
3	203
2	76
1	27
0	13

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a (/ 1.0 3.0)) 9.0)
0.1b	(fma (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`times-frac`
9×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-l` `associate-*l/`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-r` `flip--` `associate-/l*`
2×	`sqrt-pow1` `pow-prod-down` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `pow1/2` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

33.0ms	(* (- a (/ 1.0 3.0)) 9.0)
0.0ms	(fma (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
15.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
14.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- a (/ 1.0 3.0)) 9.0)
144.0ms	(fma (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
88.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
220.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	1711
1	545
0	227

prune627.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* rand (/ 1 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b	(/ 1 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.2b	(* rand (/ 1 (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`times-frac`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
13×	`pow1`
11×	`add-cbrt-cube`
8×	`sqrt-prod`
6×	`sqrt-div` `associate-*l/`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-pow1` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u` `pow-flip` `add-log-exp`
3×	`flip3--` `associate-l` `pow-prod-down` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `pow1/2` `1-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

4 → 110

Calls

4 calls:

1.0ms	(fma (* rand (/ 1 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
22.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
42.0ms	(/ 1 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
126.0ms	(* rand (/ 1 (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

series658.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(fma (* rand (/ 1 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
105.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
147.0ms	(/ 1 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
252.0ms	(* rand (/ 1 (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

simplify1.9s

Counts

122 → 122

Iterations

Iter	Nodes
done	5003
2	2170
1	664
0	258

prune796.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* rand (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.2b	(/ 1 (sqrt (- a (/ 1.0 3.0))))
0.2b	(* rand (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))
0.3b	(/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

835×	`times-frac`
617×	`add-sqr-sqrt`
468×	`sqrt-prod`
456×	`*-un-lft-identity`
366×	`add-cube-cbrt`
202×	`associate-r`
86×	`difference-of-squares`
43×	`distribute-lft-out--`
36×	`associate-/l*`
32×	`add-exp-log`
28×	`sqrt-div` `associate-/r/`
20×	`add-cbrt-cube`
16×	`div-inv`
15×	`associate-/r*`
14×	`flip3--` `div-exp` `flip--`
11×	`unswap-sqr`
8×	`pow1`
7×	`cbrt-undiv`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `pow-flip`
2×	`clear-num` `frac-2neg`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `-commutative` `fma-udef` `inv-pow` `associate-/l/`

Counts

4 → 563

Calls

4 calls:

0.0ms	(fma (* rand (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
39.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
112.0ms	(* rand (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))
38.0ms	(/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

series846.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(fma (* rand (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
80.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
325.0ms	(* rand (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))
214.0ms	(/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

simplify3.0s

Counts

575 → 575

Iterations

Iter	Nodes
done	5021
2	4328
1	1835
0	669

prune2.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b	(/ rand (cbrt (* (sqrt (* (- a (/ 1.0 3.0)) 9.0)) (* (- a (/ 1.0 3.0)) 9.0))))
0.2b	(* (sqrt (* (- a (/ 1.0 3.0)) 9.0)) (* (- a (/ 1.0 3.0)) 9.0))
17.1b	(cbrt (* (sqrt (* (- a (/ 1.0 3.0)) 9.0)) (* (- a (/ 1.0 3.0)) 9.0)))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*l/`
30×	`pow1`
20×	`sqrt-div`
19×	`flip3--` `flip--`
16×	`cbrt-div`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`frac-times` `times-frac`
11×	`add-exp-log`
10×	`add-cbrt-cube` `pow-prod-down`
8×	`sqrt-pow1` `associate-/r/`
6×	`associate-*r/` `pow-prod-up`
5×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-/r` `pow1/2` `associate-l*` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`sqrt-prod`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `div-exp` `associate-r` `*-commutative` `div-inv`

Counts

4 → 113

Calls

4 calls:

24.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
24.0ms	(/ rand (cbrt (* (sqrt (* (- a (/ 1.0 3.0)) 9.0)) (* (- a (/ 1.0 3.0)) 9.0))))
125.0ms	(* (sqrt (* (- a (/ 1.0 3.0)) 9.0)) (* (- a (/ 1.0 3.0)) 9.0))
109.0ms	(cbrt (* (sqrt (* (- a (/ 1.0 3.0)) 9.0)) (* (- a (/ 1.0 3.0)) 9.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

98.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
637.0ms	(/ rand (cbrt (* (sqrt (* (- a (/ 1.0 3.0)) 9.0)) (* (- a (/ 1.0 3.0)) 9.0))))
201.0ms	(* (sqrt (* (- a (/ 1.0 3.0)) 9.0)) (* (- a (/ 1.0 3.0)) 9.0))
283.0ms	(cbrt (* (sqrt (* (- a (/ 1.0 3.0)) 9.0)) (* (- a (/ 1.0 3.0)) 9.0)))

simplify2.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5004
2	3090
1	877
0	330

prune814.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	27800×	body	80	nan
1.0s	9071×	body	80	valid