Details

sample101.0ms

Algorithm

intervals

Results

45.0ms

475×

body

valid

simplify10.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	18	19
1	33	18
2	87	17
3	254	17
4	836	17
5	1983	17
6	3876	17
7	4749	17
done	5000	17

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y x (- (* z t) (* (* c (fma c b a)) i)))
0.0b	(- (* z t) (* (* c (fma c b a)) i))
0.1b	(* c (fma c b a))
6.3b	(* (* c (fma c b a)) i)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-udef`
2×	`*-commutative`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `flip--` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma y x (- (* z t) (* (* c (fma c b a)) i)))
9.0ms	(- (* z t) (* (* c (fma c b a)) i))
7.0ms	(* c (fma c b a))
26.0ms	(* (* c (fma c b a)) i)

series1.1s

Counts

4 → 12

Calls

4 calls:

830.0ms	(fma y x (- (* z t) (* (* c (fma c b a)) i)))
185.0ms	(- (* z t) (* (* c (fma c b a)) i))
34.0ms	(* c (fma c b a))
84.0ms	(* (* c (fma c b a)) i)

simplify3.9s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	119	1053
1	263	1007
2	906	887
3	4747	862
done	5000	862

prune442.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* (- i) (* c (fma c b a))))
0.0b	(fma y x (fma t z (* (- i) (* c (fma c b a)))))
0.1b	(* c (fma c b a))
6.3b	(* (- i) (* c (fma c b a)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

0.0ms	(fma t z (* (- i) (* c (fma c b a))))
1.0ms	(fma y x (fma t z (* (- i) (* c (fma c b a)))))
13.0ms	(* c (fma c b a))
37.0ms	(* (- i) (* c (fma c b a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

229.0ms	(fma t z (* (- i) (* c (fma c b a))))
827.0ms	(fma y x (fma t z (* (- i) (* c (fma c b a)))))
55.0ms	(* c (fma c b a))
110.0ms	(* (- i) (* c (fma c b a)))

simplify2.8s

Counts

86 → 86

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	117	1044
1	261	1024
2	816	870
3	3995	870
done	5001	870

prune442.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y x (fma t z (* (* (- i) c) (fma c b a))))
0.0b	(fma t z (* (* (- i) c) (fma c b a)))
4.2b	(* (* (- i) c) (fma c b a))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

1.0ms	(fma y x (fma t z (* (* (- i) c) (fma c b a))))
1.0ms	(fma t z (* (* (- i) c) (fma c b a)))
36.0ms	(* (* (- i) c) (fma c b a))

series1.0s

Counts

3 → 9

Calls

3 calls:

745.0ms	(fma y x (fma t z (* (* (- i) c) (fma c b a))))
195.0ms	(fma t z (* (* (- i) c) (fma c b a)))
75.0ms	(* (* (- i) c) (fma c b a))

simplify4.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	85	746
1	191	729
2	745	603
3	3998	603
done	5000	603

prune332.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* (- i) (* c (fma c b a))))
0.0b	(fma y x (fma t z (* (- i) (* c (fma c b a)))))
0.1b	(* c (fma c b a))
6.3b	(* (- i) (* c (fma c b a)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

0.0ms	(fma t z (* (- i) (* c (fma c b a))))
0.0ms	(fma y x (fma t z (* (- i) (* c (fma c b a)))))
8.0ms	(* c (fma c b a))
21.0ms	(* (- i) (* c (fma c b a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

256.0ms	(fma t z (* (- i) (* c (fma c b a))))
817.0ms	(fma y x (fma t z (* (- i) (* c (fma c b a)))))
59.0ms	(* c (fma c b a))
86.0ms	(* (- i) (* c (fma c b a)))

simplify3.3s

Counts

86 → 86

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	117	1044
1	261	1024
2	816	870
3	3995	870
done	5001	870

prune385.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

Details

sample101.0ms

simplify10.2s

prune23.0ms

localize35.0ms

rewrite44.0ms

series1.1s

simplify3.9s

prune442.0ms

localize19.0ms

rewrite54.0ms

series1.2s

simplify2.8s

prune442.0ms

localize18.0ms

rewrite39.0ms

series1.0s

simplify4.1s

prune332.0ms

localize24.0ms

rewrite31.0ms

series1.2s

simplify3.3s

prune385.0ms

regimes3.0ms