Details

sample55.0ms

Algorithm

intervals

Results

26.0ms

499×

body

valid

simplify7.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	18	19
1	33	18
2	85	17
3	229	17
4	654	17
5	1492	17
6	2688	17
7	3392	17
8	4309	17
done	5001	17

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y x (fma t z (* (- (fma c b a)) (* c i))))
4.0b	(* (- (fma c b a)) (* c i))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `associate-r` `*-commutative` `fma-udef`

Counts

2 → 38

Calls

2 calls:

0.0ms	(fma y x (fma t z (* (- (fma c b a)) (* c i))))
9.0ms	(* (- (fma c b a)) (* c i))

series706.0ms

Counts

2 → 6

Calls

2 calls:

634.0ms	(fma y x (fma t z (* (- (fma c b a)) (* c i))))
71.0ms	(* (- (fma c b a)) (* c i))

simplify1.8s

Counts

44 → 44

Iterations

Useful iterations: 3 (454.0ms)

Iter	Nodes	Cost
0	76	585
1	179	572
2	593	494
3	2404	478
done	5000	478

prune202.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (- (fma c b a)) (* c i))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`distribute-lft-neg-out` `neg-mul-1` `associate-r` `*-commutative`

Counts

4 → 61

Calls

4 calls:

8.0ms	(* (- (fma c b a)) (* c i))
5.0ms	(cbrt (* (- (fma c b a)) (* c i)))
8.0ms	(cbrt (* (- (fma c b a)) (* c i)))
10.0ms	(cbrt (* (- (fma c b a)) (* c i)))

series759.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (- (fma c b a)) (* c i))
233.0ms	(cbrt (* (- (fma c b a)) (* c i)))
228.0ms	(cbrt (* (- (fma c b a)) (* c i)))
232.0ms	(cbrt (* (- (fma c b a)) (* c i)))

simplify1.7s

Counts

73 → 73

Iterations

Useful iterations: 3 (596.0ms)

Iter	Nodes	Cost
0	102	955
1	252	926
2	776	815
3	3181	792
done	5001	792

prune458.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (- (fma c b a)) (* c i))
11.0b	(cbrt (* c i))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`distribute-lft-neg-out` `neg-mul-1` `associate-r` `*-commutative`

Counts

4 → 61

Calls

4 calls:

8.0ms	(* (- (fma c b a)) (* c i))
2.0ms	(cbrt (* c i))
5.0ms	(cbrt (* (- (fma c b a)) (* c i)))
5.0ms	(cbrt (* (- (fma c b a)) (* c i)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (- (fma c b a)) (* c i))
78.0ms	(cbrt (* c i))
231.0ms	(cbrt (* (- (fma c b a)) (* c i)))
233.0ms	(cbrt (* (- (fma c b a)) (* c i)))

simplify1.8s

Counts

73 → 73

Iterations

Useful iterations: 3 (690.0ms)

Iter	Nodes	Cost
0	121	851
1	296	825
2	868	723
3	3413	694
done	5001	694

prune510.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (- (fma c b a)) (* c i))
11.0b	(cbrt (* c i))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`distribute-lft-neg-out` `neg-mul-1` `associate-r` `*-commutative`

Counts

4 → 61

Calls

4 calls:

8.0ms	(* (- (fma c b a)) (* c i))
1.0ms	(cbrt (* c i))
5.0ms	(cbrt (* (- (fma c b a)) (* c i)))
5.0ms	(cbrt (* (- (fma c b a)) (* c i)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (- (fma c b a)) (* c i))
80.0ms	(cbrt (* c i))
236.0ms	(cbrt (* (- (fma c b a)) (* c i)))
241.0ms	(cbrt (* (- (fma c b a)) (* c i)))

simplify2.0s

Counts

73 → 73

Iterations

Useful iterations: 3 (672.0ms)

Iter	Nodes	Cost
0	121	851
1	296	825
2	868	723
3	3413	694
done	5001	694

prune462.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.3b

regimes591.0ms

Accuracy

0% (0.8b remaining)

Error of 1.8b against oracle of 1.0b and baseline of 1.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	17
1	21	17
2	24	17
3	31	17
done	31	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

758.0ms

15330×

body

valid