Details

sample172.0ms

Algorithm

intervals

Results

51.0ms	885×	body	80	nan
12.0ms	189×	body	80	valid
11.0ms	16×	body	1280	valid
7.0ms	18×	body	640	valid
5.0ms	22×	body	320	valid
2.0ms	12×	body	160	valid

simplify919.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	769
7	237
6	112
5	77
4	60
3	52
2	38
1	22
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (log (- 1.0 y)) (* (log y) x))
0.2b	(* (log y) x)
5.4b	(log (- 1.0 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `add-cube-cbrt`
5×	`log-prod` `add-cbrt-cube`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `log-pow`
1×	`flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

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

series230.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(fma z (log (- 1.0 y)) (* (log y) x))
84.0ms	(* (log y) x)
45.0ms	(log (- 1.0 y))

simplify878.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	1004
1	293
0	133

prune383.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* y 1.0))) (* (log y) x)) t)
0.0b	(fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* y 1.0))) (* (log y) x))
0.2b	(* (log y) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

5.0ms	(- (fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* y 1.0))) (* (log y) x)) t)
0.0ms	(fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* y 1.0))) (* (log y) x))
11.0ms	(* (log y) x)

series434.0ms

Counts

3 → 9

Calls

3 calls:

221.0ms	(- (fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* y 1.0))) (* (log y) x)) t)
145.0ms	(fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* y 1.0))) (* (log y) x))
68.0ms	(* (log y) x)

simplify959.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	976
1	305
0	135

prune478.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- (* x (log y)) t))
0.2b	(* x (log y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `associate-r` `add-exp-log`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

0.0ms	(fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- (* x (log y)) t))
7.0ms	(* x (log y))

series258.0ms

Counts

2 → 6

Calls

2 calls:

208.0ms	(fma z (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- (* x (log y)) t))
49.0ms	(* x (log y))

simplify1.2s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	2120
2	497
1	188
0	94

prune344.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`cbrt-prod` `associate-+r+` `log-prod` `associate-r`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out` `pow1/3` `distribute-lft-out`
2×	`associate-+l+` `flip3-+` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `sum-log` `fma-def` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

24.0ms	(* (log (cbrt y)) (+ x x))
13.0ms	(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (log (cbrt y)) (+ x x))
177.0ms	(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
270.0ms	(cbrt y)
531.0ms	(cbrt y)

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1824
1	381
0	143

prune947.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes382.0ms

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	25
1	25
0	22

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.4s	24083×	body	80	nan
874.0ms	5446×	body	80	valid
384.0ms	875×	body	640	valid
321.0ms	408×	body	1280	valid
199.0ms	792×	body	320	valid
79.0ms	506×	body	160	valid