Details

sample458.0ms

Algorithm

intervals

Results

313.0ms	1931×	body	80	nan
43.0ms	257×	body	80	valid

simplify3.6s

Counts

1 → 1

Iterations

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `flip3-+` `associate-+l-` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 123

Calls

3 calls:

156.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
17.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (log (+ x y)) (log z))

series476.0ms

Counts

3 → 9

Calls

3 calls:

286.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
92.0ms	(* (- a 0.5) (log t))
98.0ms	(+ (log (+ x y)) (log z))

simplify732.0ms

Counts

132 → 132

Iterations

Iter	Nodes
2	2374
1	664
0	246

prune838.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite12.0ms

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:

8.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

319.0ms	(* (cbrt z) (cbrt z))
328.0ms	(cbrt z)
301.0ms	(cbrt z)
232.0ms	(cbrt z)

simplify1.2s

Counts

97 → 97

Iterations

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

prune777.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

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×	`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:

21.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.6s

Counts

4 → 12

Calls

4 calls:

725.0ms	(* (cbrt t) (cbrt t))
294.0ms	(cbrt t)
300.0ms	(cbrt t)
242.0ms	(cbrt t)

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
4	3178
3	858
2	330
1	135
0	67

prune728.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- a 0.5))
0.4b	(* (cbrt (- a 0.5)) (log t))
0.5b	(+ (log (+ x y)) (log z))
0.8b	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`cbrt-prod`
21×	`add-cube-cbrt`
19×	`pow1`
16×	`cbrt-div` `associate-l`
13×	`log-prod`
12×	`associate-r`
10×	`swap-sqr`
8×	`flip3--` `add-exp-log` `flip--` `distribute-lft-out--`
7×	`pow1/3`
6×	`log-pow` `difference-of-squares` `unswap-sqr`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `associate-+l+` `fma-def` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down`
2×	`log-div` `flip3-+` `prod-exp` `associate-r/` `pow-sqr` `-commutative` `pow-prod-up` `associate-+l-` `cbrt-unprod` `flip-+`
1×	`pow2` `+-commutative` `sum-log` `pow-plus`

Counts

4 → 144

Calls

4 calls:

6.0ms	(cbrt (- a 0.5))
31.0ms	(* (cbrt (- a 0.5)) (log t))
18.0ms	(+ (log (+ x y)) (log z))
59.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (- a 0.5))
222.0ms	(* (cbrt (- a 0.5)) (log t))
95.0ms	(+ (log (+ x y)) (log z))
153.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

simplify862.0ms

Counts

156 → 156

Iterations

Iter	Nodes
2	2252
1	779
0	334

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	24
1	24
0	19

end0.0ms

sample13.9s

Algorithm

intervals

Results

8.2s	56487×	body	80	nan
1.3s	8032×	body	80	valid