Details

sample219.0ms

Algorithm

intervals

Results

82.0ms	764×	body	80	nan
18.0ms	191×	body	80	valid
10.0ms	29×	body	320	valid
10.0ms	9×	body	1280	valid
7.0ms	14×	body	640	valid
3.0ms	13×	body	160	valid

simplify9.9s

Counts

1 → 1

Iterations

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

prune51.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.0b	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.1b	(* (- x 1.0) (log y))
5.1b	(log (- 1.0 y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`log-prod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--l+` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `prod-diff` `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` `fma-udef` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

36.0ms	(- (* (- x 1.0) (log y)) t)
1.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
41.0ms	(* (- x 1.0) (log y))
19.0ms	(log (- 1.0 y))

series675.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(- (* (- x 1.0) (log y)) t)
351.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
129.0ms	(* (- x 1.0) (log y))
62.0ms	(log (- 1.0 y))

simplify6.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	4332
2	1367
1	513
0	217

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (log 1.0) (fma 1.0 y (* (/ y 1.0) (* (/ y 1.0) 1/2)))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.0b	(- (* (- x 1.0) (log y)) t)
0.1b	(* (- x 1.0) (log y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

2.0ms	(fma (- (log 1.0) (fma 1.0 y (* (/ y 1.0) (* (/ y 1.0) 1/2)))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
36.0ms	(- (* (- x 1.0) (log y)) t)
54.0ms	(* (- x 1.0) (log y))

series543.0ms

Counts

3 → 9

Calls

3 calls:

296.0ms	(fma (- (log 1.0) (fma 1.0 y (* (/ y 1.0) (* (/ y 1.0) 1/2)))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
124.0ms	(- (* (- x 1.0) (log y)) t)
123.0ms	(* (- x 1.0) (log y))

simplify5.7s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	3789
2	1088
1	411
0	173

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize118.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
20×	`frac-add`
15×	`cbrt-prod`
14×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `associate-+r+` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-log-exp`
6×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
2×	`count-2`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `distribute-rgt-out`

Counts

4 → 90

Calls

4 calls:

157.0ms	(+ (+ (* (- x 1.0) (log (cbrt y))) (* (- x 1.0) (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

381.0ms	(+ (+ (* (- x 1.0) (log (cbrt y))) (* (- x 1.0) (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
356.0ms	(cbrt y)
322.0ms	(cbrt y)
383.0ms	(cbrt y)

simplify4.9s

Counts

102 → 102

Iterations

Iter	Nodes
done	5010
2	2911
1	684
0	189

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize141.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (cbrt y)))
0.2b	(fma (log (cbrt y)) (+ (- x 1.0) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

41.0ms	(* (- x 1.0) (log (cbrt y)))
1.0ms	(fma (log (cbrt y)) (+ (- x 1.0) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (- x 1.0) (log (cbrt y)))
662.0ms	(fma (log (cbrt y)) (+ (- x 1.0) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
360.0ms	(cbrt y)
323.0ms	(cbrt y)

simplify5.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5003
3	3235
2	838
1	285
0	131

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	30
1	30
0	25

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.2s	24335×	body	80	nan
1.0s	5966×	body	80	valid
390.0ms	713×	body	640	valid
291.0ms	698×	body	320	valid
248.0ms	257×	body	1280	valid
78.0ms	405×	body	160	valid