Details

sample237.0ms

Algorithm

intervals

Results

83.0ms	885×	body	80	nan
43.0ms	200×	body	80	valid
10.0ms	10×	body	1280	valid
10.0ms	17×	body	640	valid
6.0ms	19×	body	320	valid
3.0ms	11×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4417
5	1388
4	401
3	135
2	57
1	27
0	14

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
0.0b	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
0.1b	(* (log y) (- x 1.0))
5.4b	(log (- 1.0 y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

5.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
0.0ms	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
33.0ms	(* (log y) (- x 1.0))
9.0ms	(log (- 1.0 y))

series597.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
172.0ms	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
134.0ms	(* (log y) (- x 1.0))
61.0ms	(log (- 1.0 y))

simplify2.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	2395
1	609
0	257

prune757.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
24×	`add-cbrt-cube` `add-exp-log`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-r`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-*r/`
2×	`flip3--` `*-commutative` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-times` `diff-log` `associate--l+` `log-pow`

Counts

4 → 116

Calls

4 calls:

44.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
5.0ms	(- (fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (* (log y) (- x 1.0))) t)
0.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (* (log y) (- x 1.0)))
24.0ms	(* (log y) (- x 1.0))

series439.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
192.0ms	(- (fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (* (log y) (- x 1.0))) t)
102.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (* (log y) (- x 1.0)))
107.0ms	(* (log y) (- x 1.0))

simplify1.6s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	3227
1	652
0	257

prune779.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `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 → 109

Calls

4 calls:

50.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
5.0ms	(cbrt (- x 1.0))
5.0ms	(cbrt (- x 1.0))
5.0ms	(cbrt (- x 1.0))

series566.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
130.0ms	(cbrt (- x 1.0))
137.0ms	(cbrt (- x 1.0))
131.0ms	(cbrt (- x 1.0))

simplify1.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1550
1	411
0	171

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize87.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

6.0ms	(cbrt (- x 1.0))
5.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
9.0ms	(cbrt (- x 1.0))

series539.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (- x 1.0))
136.0ms	(cbrt (- x 1.0))
140.0ms	(cbrt (- x 1.0))
138.0ms	(cbrt (- x 1.0))

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	2188
2	598
1	207
0	90

prune976.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.1b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
1	20
0	18

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.9s	24083×	body	80	nan
780.0ms	5794×	body	80	valid
529.0ms	770×	body	640	valid
404.0ms	736×	body	320	valid
303.0ms	268×	body	1280	valid
129.0ms	459×	body	160	valid