Details

sample417.0ms

Algorithm

intervals

Results

292.0ms	1841×	body	80	nan
38.0ms	258×	body	80	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
7	3522
6	1815
5	983
4	411
3	155
2	61
1	27
0	15

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize59.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (- 0.5 a) (log t) t)
0.1b	(- (log z) (fma (- 0.5 a) (log t) t))
0.2b	(+ (log (+ y x)) (- (log z) (fma (- 0.5 a) (log t) t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `prod-diff`
22×	`add-cube-cbrt`
17×	`pow1` `associate-+r+`
14×	`log-pow`
10×	`log-prod`
7×	`distribute-lft-out`
6×	`associate--l+` `distribute-lft-out--` `add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`log-div` `sum-log` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `fma-udef`
1×	`+-commutative` `associate-+r-` `flip3--` `flip--` `associate--r+` `difference-of-squares`

Counts

3 → 98

Calls

3 calls:

0.0ms	(fma (- 0.5 a) (log t) t)
8.0ms	(- (log z) (fma (- 0.5 a) (log t) t))
23.0ms	(+ (log (+ y x)) (- (log z) (fma (- 0.5 a) (log t) t)))

series384.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma (- 0.5 a) (log t) t)
97.0ms	(- (log z) (fma (- 0.5 a) (log t) t))
250.0ms	(+ (log (+ y x)) (- (log z) (fma (- 0.5 a) (log t) t)))

simplify2.6s

Counts

107 → 107

Iterations

Iter	Nodes
3	5175
2	1299
1	453
0	189

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite14.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 85

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

291.0ms	(* (cbrt z) (cbrt z))
251.0ms	(cbrt z)
294.0ms	(cbrt z)
307.0ms	(cbrt z)

simplify1.7s

Counts

97 → 97

Iterations

Iter	Nodes
4	3150
3	858
2	330
1	135
0	67

prune2.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

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))

rewrite364.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--`
5×	`associate-l` `associate-+l-`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 176

Calls

4 calls:

86.0ms	(- (+ (log (+ x y)) (log z)) t)
235.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
27.0ms	(* (- a 0.5) (log t))
11.0ms	(+ (log (+ x y)) (log z))

series720.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(- (+ (log (+ x y)) (log z)) t)
319.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
85.0ms	(* (- a 0.5) (log t))
94.0ms	(+ (log (+ x y)) (log z))

simplify948.0ms

Counts

188 → 188

Iterations

Iter	Nodes
2	2557
1	724
0	275

prune3.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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))

rewrite38.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 107

Calls

4 calls:

25.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))

series803.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
211.0ms	(cbrt (+ x y))
198.0ms	(cbrt (+ x y))
178.0ms	(cbrt (+ x y))

simplify2.7s

Counts

119 → 119

Iterations

Iter	Nodes
4	4927
3	1767
2	695
1	277
0	122

prune2.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

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
2	24
1	24
0	19

end0.0ms

sample14.3s

Algorithm

intervals

Results

9.6s	57621×	body	80	nan
1.6s	8033×	body	80	valid