Details

sample353.0ms

Algorithm

intervals

Results

184.0ms	1685×	body	80	nan
24.0ms	256×	body	80	valid

simplify6.6s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize60.0ms

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))

rewrite583.0ms

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:

117.0ms	(- (+ (log (+ x y)) (log z)) t)
356.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
69.0ms	(* (- a 0.5) (log t))
26.0ms	(+ (log (+ x y)) (log z))

series1.1s

Counts

4 → 12

Calls

4 calls:

324.0ms	(- (+ (log (+ x y)) (log z)) t)
454.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
134.0ms	(* (- a 0.5) (log t))
162.0ms	(+ (log (+ x y)) (log z))

simplify4.0s

Counts

118 → 118

Iterations

Iter	Nodes
done	5007
2	2294
1	641
0	244

prune2.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize128.0ms

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:

15.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

399.0ms	(* (cbrt z) (cbrt z))
319.0ms	(cbrt z)
310.0ms	(cbrt z)
352.0ms	(cbrt z)

simplify7.8s

Counts

89 → 89

Iterations

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

prune2.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`pow1`
12×	`associate-l`
11×	`add-log-exp`
10×	`associate-r` `log-pow` `add-cube-cbrt`
8×	`add-cbrt-cube` `associate-*r/` `add-exp-log`
7×	`associate-+l+` `associate-+r+` `log-prod` `sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `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×	`associate--l+`

Counts

4 → 111

Calls

4 calls:

61.0ms	(* (log (sqrt t)) (- a 0.5))
34.0ms	(* (log (sqrt t)) (- a 0.5))
317.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
17.0ms	(+ (log (+ x y)) (log z))

series887.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (log (sqrt t)) (- a 0.5))
128.0ms	(* (log (sqrt t)) (- a 0.5))
512.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
132.0ms	(+ (log (+ x y)) (log z))

simplify3.6s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	2089
1	574
0	210

prune2.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize153.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (log (+ y x)) (- (log z) t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-cube-cbrt`
7×	`log-prod` `distribute-lft-out`
6×	`add-log-exp`
5×	`associate-+r+` `log-pow`
4×	`associate-+l+` `add-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out--`
3×	`pow1/3` `associate--l+`
2×	`log-div` `sum-log` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `associate-+r-` `sub-neg` `diff-log`

Counts

4 → 67

Calls

4 calls:

50.0ms	(+ (log (+ y x)) (- (log z) t))
3.0ms	(cbrt t)
3.0ms	(cbrt t)
3.0ms	(cbrt t)

series1.4s

Counts

4 → 12

Calls

4 calls:

375.0ms	(+ (log (+ y x)) (- (log z) t))
342.0ms	(cbrt t)
366.0ms	(cbrt t)
346.0ms	(cbrt t)

simplify4.6s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
3	2561
2	615
1	228
0	103

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes4.6s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample12.9s

Algorithm

intervals

Results

7.6s	55303×	body	80	nan
988.0ms	8033×	body	80	valid