Details

sample229.0ms

Algorithm

intervals

Results

111.0ms	781×	body	80	nan
24.0ms	186×	body	80	valid
14.0ms	9×	body	1280	valid
14.0ms	19×	body	640	valid
10.0ms	22×	body	320	valid
5.0ms	20×	body	160	valid

simplify8.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2850
6	1322
5	620
4	304
3	130
2	57
1	27
0	14

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize53.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.1b	(* (- x 1.0) (log y))
6.3b	(log (- 1.0 y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `log-prod`
15×	`*-un-lft-identity`
11×	`add-cube-cbrt`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-exp-log`
5×	`add-cbrt-cube` `associate-l` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `flip3--` `prod-diff` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`log-div` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `fma-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

19.0ms	(- (* (- x 1.0) (log y)) t)
23.0ms	(* (- x 1.0) (log y))
6.0ms	(log (- 1.0 y))

series224.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* (- x 1.0) (log y)) t)
72.0ms	(* (- x 1.0) (log y))
81.0ms	(log (- 1.0 y))

simplify2.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	3895
2	1175
1	442
0	189

prune503.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.1b	(* (- x 1.0) (log y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`log-prod`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1` `associate-l`
4×	`add-cbrt-cube` `associate-r` `add-exp-log` `add-log-exp`
3×	`prod-diff`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

37.0ms	(- (* (- x 1.0) (log y)) t)
58.0ms	(* (- x 1.0) (log y))

series170.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(- (* (- x 1.0) (log y)) t)
68.0ms	(* (- x 1.0) (log y))

simplify2.7s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	2658
2	813
1	324
0	136

prune388.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ (- x 1.0) (- x 1.0)))
0.3b	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (log (cbrt y)) (- x 1.0)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
30×	`associate-*r/`
24×	`frac-add` `add-cube-cbrt`
22×	`associate-+r+` `associate-r`
18×	`flip3--` `prod-diff` `flip--`
13×	`distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out--`
8×	`distribute-lft-out`
7×	`pow1` `distribute-rgt-out`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`pow1/3`
2×	`associate-+l+` `sub-neg` `distribute-lft1-in` `distribute-rgt1-in` `log-pow`
1×	`+-commutative` `sum-log` `fma-def` `count-2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

123.0ms	(* (log (cbrt y)) (+ (- x 1.0) (- x 1.0)))
56.0ms	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (log (cbrt y)) (- x 1.0)))
1.0ms	(cbrt y)
6.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (log (cbrt y)) (+ (- x 1.0) (- x 1.0)))
392.0ms	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (log (cbrt y)) (- x 1.0)))
275.0ms	(cbrt y)
260.0ms	(cbrt y)

simplify2.6s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	4912
1	1002
0	280

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log y)) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`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 → 93

Calls

4 calls:

24.0ms	(* (cbrt (log y)) (cbrt (log y)))
2.0ms	(cbrt (log y))
2.0ms	(cbrt (log y))
2.0ms	(cbrt (log y))

series1.5s

Counts

4 → 12

Calls

4 calls:

355.0ms	(* (cbrt (log y)) (cbrt (log y)))
382.0ms	(cbrt (log y))
410.0ms	(cbrt (log y))
328.0ms	(cbrt (log y))

simplify3.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
4	4372
3	1212
2	411
1	152
0	68

prune575.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes431.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	26
1	26
0	22

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.2s	24053×	body	80	nan
776.0ms	825×	body	640	valid
775.0ms	5855×	body	80	valid
291.0ms	686×	body	320	valid
212.0ms	217×	body	1280	valid
125.0ms	449×	body	160	valid