Details

sample50.0ms

Algorithm

intervals

Results

22.0ms

499×

body

valid

simplify8.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	18	19
1	33	18
2	85	17
3	229	17
4	654	17
5	1492	17
6	2732	17
7	3485	17
8	4494	17
done	5000	17

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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))))
8.0ms	(* (- (fma c b a)) (* c i))

series685.0ms

Counts

2 → 6

Calls

2 calls:

616.0ms	(fma y x (fma t z (* (- (fma c b a)) (* c i))))
68.0ms	(* (- (fma c b a)) (* c i))

simplify1.9s

Counts

44 → 44

Iterations

Useful iterations: 3 (469.0ms)

Iter	Nodes	Cost
0	76	585
1	179	572
2	599	494
3	2419	478
done	5000	478

prune196.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize19.0ms

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)))

rewrite25.0ms

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

series720.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- (fma c b a)) (* c i))
216.0ms	(cbrt (* (- (fma c b a)) (* c i)))
221.0ms	(cbrt (* (- (fma c b a)) (* c i)))
220.0ms	(cbrt (* (- (fma c b a)) (* c i)))

simplify1.8s

Counts

73 → 73

Iterations

Useful iterations: 3 (585.0ms)

Iter	Nodes	Cost
0	102	955
1	252	926
2	780	815
3	3171	792
done	5001	792

prune460.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize23.0ms

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)))

rewrite21.0ms

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)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (- (fma c b a)) (* c i))
67.0ms	(cbrt (* c i))
237.0ms	(cbrt (* (- (fma c b a)) (* c i)))
240.0ms	(cbrt (* (- (fma c b a)) (* c i)))

simplify2.0s

Counts

73 → 73

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	121	851
1	296	825
2	872	723
3	3395	697
done	5000	694

prune495.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

localize23.0ms

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)))

rewrite21.0ms

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)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (- (fma c b a)) (* c i))
74.0ms	(cbrt (* c i))
238.0ms	(cbrt (* (- (fma c b a)) (* c i)))
239.0ms	(cbrt (* (- (fma c b a)) (* c i)))

simplify1.8s

Counts

73 → 73

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	121	851
1	296	825
2	872	723
3	3395	697
done	5000	694

prune443.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.3b

regimes574.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify7.0ms

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

725.0ms

15330×

body

valid