Details

sample151.0ms

Algorithm

intervals

Results

100.0ms

642×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (263.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	909	27
5	2811	27
done	5000	27

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.4b	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
3.9b	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
5.1b	(* j (- (* c t) (* i y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

9.0ms	(- (* y z) (* t a))
0.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
0.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
36.0ms	(* j (- (* c t) (* i y)))

series1.7s

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* y z) (* t a))
344.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
1.2s	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
93.0ms	(* j (- (* c t) (* i y)))

simplify2.3s

Counts

76 → 76

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	137	1239
1	317	1223
2	891	1071
3	3119	1071
done	5001	1056

prune557.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.4b	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
4.1b	(* x (- (* y z) (* t a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

9.0ms	(- (* y z) (* t a))
0.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
58.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c t) (* i y)))

series676.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* y z) (* t a))
359.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
134.0ms	(* x (- (* y z) (* t a)))
115.0ms	(* j (- (* c t) (* i y)))

simplify2.4s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	161	1244
1	376	1226
2	1064	1102
3	3765	1088
done	5000	1088

prune562.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.7b

localize41.0ms

Local error

Found 4 expressions with local error:

3.3b	(* t (* j c))
3.4b	(fma b (- (* i a) (* c z)) (+ (* t (* j c)) (* (- (* i y)) j)))
4.1b	(* x (- (* y z) (* t a)))
5.5b	(* (- (* i y)) j)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

29.0ms	(* t (* j c))
1.0ms	(fma b (- (* i a) (* c z)) (+ (* t (* j c)) (* (- (* i y)) j)))
42.0ms	(* x (- (* y z) (* t a)))
11.0ms	(* (- (* i y)) j)

series520.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* t (* j c))
348.0ms	(fma b (- (* i a) (* c z)) (+ (* t (* j c)) (* (- (* i y)) j)))
103.0ms	(* x (- (* y z) (* t a)))
37.0ms	(* (- (* i y)) j)

simplify1.7s

Counts

94 → 94

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	161	1064
1	379	1035
2	1320	900
done	5000	880

prune610.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.0b

localize51.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
13.5b	(cbrt (- (* i y)))
13.5b	(cbrt (- (* i y)))
13.5b	(cbrt (- (* i y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

34.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (- (* i y)))
4.0ms	(cbrt (- (* i y)))
5.0ms	(cbrt (- (* i y)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* x (- (* y z) (* t a)))
120.0ms	(cbrt (- (* i y)))
143.0ms	(cbrt (- (* i y)))
133.0ms	(cbrt (- (* i y)))

simplify1.4s

Counts

88 → 88

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	117	883
1	254	871
2	623	795
3	2029	774
done	5001	740

prune603.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.0b

Details

sample151.0ms

simplify3.0s

prune12.0ms

localize29.0ms

rewrite47.0ms

series1.7s

simplify2.3s

prune557.0ms

localize30.0ms

rewrite96.0ms

series676.0ms

simplify2.4s

prune562.0ms

localize41.0ms

rewrite85.0ms

series520.0ms

simplify1.7s

prune610.0ms

localize51.0ms

rewrite49.0ms

series496.0ms

simplify1.4s

prune603.0ms

regimes1.1s

bsearch3.0ms