Details

sample347.0ms

Algorithm

intervals

Results

180.0ms	1685×	body	80	nan
26.0ms	256×	body	80	valid

simplify6.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	3868
6	1574
5	899
4	374
3	147
2	59
1	27
0	15

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite581.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--` `distribute-lft-out--`
5×	`associate-l` `associate-+l-`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

103.0ms	(- (+ (log (+ x y)) (log z)) t)
398.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
52.0ms	(* (- a 0.5) (log t))
17.0ms	(+ (log (+ x y)) (log z))

series992.0ms

Counts

4 → 12

Calls

4 calls:

354.0ms	(- (+ (log (+ x y)) (log z)) t)
412.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
102.0ms	(* (- a 0.5) (log t))
125.0ms	(+ (log (+ x y)) (log z))

simplify3.5s

Counts

118 → 118

Iterations

Iter	Nodes
done	5007
2	2294
1	641
0	244

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

16.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

378.0ms	(* (cbrt z) (cbrt z))
331.0ms	(cbrt z)
322.0ms	(cbrt z)
287.0ms	(cbrt z)

simplify8.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5015
4	3770
3	1044
2	353
1	137
0	63

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log (sqrt t)))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
0.6b	(+ (log (+ x y)) (log z))

rewrite513.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
32×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
16×	`pow1`
15×	`associate-+r+`
12×	`associate-r`
11×	`add-log-exp`
10×	`associate-l` `log-pow`
8×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
7×	`associate-+l+`
6×	`flip3--` `flip--`
5×	`sum-log` `distribute-lft-out`
4×	`frac-add` `insert-posit16`
3×	`flip3-+` `associate-+l-` `flip-+`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `associate--l+`

Counts

4 → 135

Calls

4 calls:

40.0ms	(* (- a 0.5) (log (sqrt t)))
71.0ms	(* (- a 0.5) (log (sqrt t)))
353.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
28.0ms	(+ (log (+ x y)) (log z))

series884.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (- a 0.5) (log (sqrt t)))
88.0ms	(* (- a 0.5) (log (sqrt t)))
574.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
140.0ms	(+ (log (+ x y)) (log z))

simplify4.2s

Counts

147 → 147

Iterations

Iter	Nodes
done	5004
2	2250
1	640
0	245

prune2.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize175.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (* (log (fabs (cbrt t))) (- a 0.5)) (+ (log z) (- (log (+ y x)) t))) (* (log (sqrt (cbrt t))) (- a 0.5)))
0.3b	(+ (log z) (- (log (+ y x)) t))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite843.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`frac-add` `associate-*r/`
17×	`add-log-exp`
11×	`sum-log`
10×	`associate-+r+` `flip3--` `flip--`
9×	`pow1`
8×	`add-sqr-sqrt` `flip3-+` `add-cube-cbrt` `flip-+`
7×	`log-prod` `distribute-lft-out`
6×	`cbrt-prod`
5×	`log-pow`
4×	`associate-+l+` `add-cbrt-cube` `associate--l+` `add-exp-log` `insert-posit16` `distribute-lft-out--`
3×	`associate-+r-` `sub-neg`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `pow1/3` `diff-log`
1×	`associate-+l-`

Counts

4 → 86

Calls

4 calls:

786.0ms	(+ (+ (* (log (fabs (cbrt t))) (- a 0.5)) (+ (log z) (- (log (+ y x)) t))) (* (log (sqrt (cbrt t))) (- a 0.5)))
45.0ms	(+ (log z) (- (log (+ y x)) t))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.8s

Counts

4 → 12

Calls

4 calls:

797.0ms	(+ (+ (* (log (fabs (cbrt t))) (- a 0.5)) (+ (log z) (- (log (+ y x)) t))) (* (log (sqrt (cbrt t))) (- a 0.5)))
367.0ms	(+ (log z) (- (log (+ y x)) t))
326.0ms	(cbrt t)
337.0ms	(cbrt t)

simplify6.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	4012
1	903
0	267

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes4.0s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample12.3s

Algorithm

intervals

Results

7.6s	55303×	body	80	nan
837.0ms	8033×	body	80	valid