Details

sample406.0ms

Algorithm

intervals

Results

281.0ms	1841×	body	80	nan
38.0ms	258×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
7	3740
6	1508
5	890
4	374
3	147
2	59
1	27
0	15

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

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))

rewrite200.0ms

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:

35.0ms	(- (+ (log (+ x y)) (log z)) t)
139.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
16.0ms	(* (- a 0.5) (log t))
8.0ms	(+ (log (+ x y)) (log z))

series725.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(- (+ (log (+ x y)) (log z)) t)
311.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
71.0ms	(* (- a 0.5) (log t))
77.0ms	(+ (log (+ x y)) (log z))

simplify618.0ms

Counts

118 → 118

Iterations

Iter	Nodes
2	2260
1	640
0	244

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

16.0ms	(- (* (- a 0.5) (log t)) t)
64.0ms	(+ (+ (log (+ x y)) (log z)) (- (* (- a 0.5) (log t)) t))
34.0ms	(* (- a 0.5) (log t))
17.0ms	(+ (log (+ x y)) (log z))

series526.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* (- a 0.5) (log t)) t)
296.0ms	(+ (+ (log (+ x y)) (log z)) (- (* (- a 0.5) (log t)) t))
80.0ms	(* (- a 0.5) (log t))
96.0ms	(+ (log (+ x y)) (log z))

simplify763.0ms

Counts

122 → 122

Iterations

Iter	Nodes
2	2134
1	634
0	241

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

23.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series792.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
181.0ms	(cbrt (+ x y))
195.0ms	(cbrt (+ x y))
194.0ms	(cbrt (+ x y))

simplify2.1s

Counts

111 → 111

Iterations

Iter	Nodes
4	4384
3	1625
2	659
1	267
0	118

prune2.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

138.0ms	(+ (+ (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)) (log (+ y x))) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.5s

Counts

4 → 12

Calls

4 calls:

401.0ms	(+ (+ (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)) (log (+ y x))) (log z))
269.0ms	(cbrt t)
256.0ms	(cbrt t)
566.0ms	(cbrt t)

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
3	3625
2	822
1	286
0	117

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	24
1	24
0	19

end0.0ms

sample14.5s

Algorithm

intervals

Results

9.9s	57621×	body	80	nan
1.5s	8033×	body	80	valid