Details

sample226.0ms

Algorithm

intervals

Results

120.0ms	832×	body	80	nan
21.0ms	185×	body	80	valid
16.0ms	26×	body	640	valid
10.0ms	10×	body	1280	valid
6.0ms	21×	body	320	valid
4.0ms	16×	body	160	valid

simplify7.3s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize30.0ms

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))
6.8b	(log (- 1.0 y))

rewrite69.0ms

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:

29.0ms	(- (* (- x 1.0) (log y)) t)
0.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
33.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series547.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (* (- x 1.0) (log y)) t)
292.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
82.0ms	(* (- x 1.0) (log y))
83.0ms	(log (- 1.0 y))

simplify2.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	4572
2	1385
1	513
0	217

prune463.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-cube-cbrt`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--l+` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`prod-diff`
2×	`flip3--` `associate-*l/` `fma-udef` `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

4 → 79

Calls

4 calls:

0.0ms	(fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))
14.0ms	(- (* (- x 1.0) (log y)) t)
0.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
17.0ms	(* (- x 1.0) (log y))

series477.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))
90.0ms	(- (* (- x 1.0) (log y)) t)
228.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
59.0ms	(* (- x 1.0) (log y))

simplify1.9s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
3	3894
2	1111
1	424
0	184

prune571.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

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))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`frac-add`
22×	`associate-r`
18×	`flip3--` `associate-*r/` `flip--`
16×	`add-cube-cbrt`
12×	`cbrt-prod` `associate-+r+` `log-prod` `associate-*l/`
10×	`distribute-lft-out--`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `distribute-rgt-out` `distribute-lft-out`
6×	`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+` `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 → 119

Calls

4 calls:

104.0ms	(* (log (cbrt y)) (+ (- x 1.0) (- x 1.0)))
46.0ms	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (log (cbrt y)) (+ (- x 1.0) (- x 1.0)))
339.0ms	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (- x 1.0) (log (cbrt y))))
228.0ms	(cbrt y)
262.0ms	(cbrt y)

simplify2.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	4001
1	888
0	250

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (pow y 1/3)))
0.3b	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (- x 1.0) (log (pow y 1/3))))
0.7b	(cbrt y)
5.1b	(pow y 1/3)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
21×	`add-sqr-sqrt`
20×	`frac-add`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in` `flip3--` `flip--`
14×	`associate-+r+` `associate-*l/`
12×	`associate-*r/`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-l` `sqr-pow`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `flip3-+` `flip-+`
2×	`associate-+l+`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `fma-def` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

29.0ms	(* (- x 1.0) (log (pow y 1/3)))
55.0ms	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (- x 1.0) (log (pow y 1/3))))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (- x 1.0) (log (pow y 1/3)))
446.0ms	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (- x 1.0) (log (pow y 1/3))))
212.0ms	(cbrt y)
237.0ms	(pow y 1/3)

simplify2.2s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	4131
1	992
0	289

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

regimes510.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	24

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.3s	24405×	body	80	nan
731.0ms	5990×	body	80	valid
376.0ms	417×	body	160	valid
375.0ms	730×	body	640	valid
258.0ms	641×	body	320	valid
232.0ms	258×	body	1280	valid