Details

sample118.0ms

Algorithm

intervals

Results

77.0ms

598×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (264.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	907	27
5	2817	27
done	5000	27

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
4.1b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y i)))
5.0b	(* x (- (* y z) (* t a)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

41.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
28.0ms	(* b (- (* c z) (* t i)))
56.0ms	(* j (- (* c a) (* y i)))
39.0ms	(* x (- (* y z) (* t a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

358.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
547.0ms	(* b (- (* c z) (* t i)))
99.0ms	(* j (- (* c a) (* y i)))
134.0ms	(* x (- (* y z) (* t a)))

simplify1.7s

Counts

128 → 128

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	247	2235
1	681	2111
2	2410	1971
done	5000	1967

prune933.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.5b

localize44.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (fma c z (- (* i t))) b)
4.9b	(* j (- (* c a) (* y i)))
5.0b	(* x (- (* y z) (* t a)))
50.2b	(fma (- i) t (* i t))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

15.0ms	(* (fma c z (- (* i t))) b)
59.0ms	(* j (- (* c a) (* y i)))
71.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- i) t (* i t))

series420.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (fma c z (- (* i t))) b)
117.0ms	(* j (- (* c a) (* y i)))
131.0ms	(* x (- (* y z) (* t a)))
55.0ms	(fma (- i) t (* i t))

simplify2.4s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	178	1148
1	400	1139
2	1160	993
3	4454	989
done	5000	989

prune704.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.5b

localize61.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (* j (- (* c a) (* y i))))
6.5b	(cbrt (* j (- (* c a) (* y i))))
6.5b	(cbrt (* j (- (* c a) (* y i))))
50.2b	(fma (- i) t (* i t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*r/`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

12.0ms	(cbrt (* j (- (* c a) (* y i))))
12.0ms	(cbrt (* j (- (* c a) (* y i))))
13.0ms	(cbrt (* j (- (* c a) (* y i))))
1.0ms	(fma (- i) t (* i t))

series663.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (* j (- (* c a) (* y i))))
204.0ms	(cbrt (* j (- (* c a) (* y i))))
215.0ms	(cbrt (* j (- (* c a) (* y i))))
35.0ms	(fma (- i) t (* i t))

simplify1.5s

Counts

61 → 61

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	88	874
1	208	841
2	617	751
3	2106	739
done	5000	652

prune594.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 6.5b

localize42.0ms

Local error

Found 4 expressions with local error:

4.1b	(* b (- (* c z) (* t i)))
4.5b	(* j (- (* y i)))
5.0b	(* x (- (* y z) (* t a)))
5.6b	(* a (* j c))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

28.0ms	(* b (- (* c z) (* t i)))
16.0ms	(* j (- (* y i)))
28.0ms	(* x (- (* y z) (* t a)))
17.0ms	(* a (* j c))

series263.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* b (- (* c z) (* t i)))
35.0ms	(* j (- (* y i)))
96.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* a (* j c))

simplify921.0ms

Counts

112 → 112

Iterations

Useful iterations: done (918.0ms)

Iter	Nodes	Cost
0	200	1139
1	477	1121
2	1539	988
done	5000	984

prune504.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.0b

Details

sample118.0ms

simplify2.9s

prune10.0ms

localize33.0ms

rewrite169.0ms

series1.1s

simplify1.7s

prune933.0ms

localize44.0ms

rewrite150.0ms

series420.0ms

simplify2.4s

prune704.0ms

localize61.0ms

rewrite39.0ms

series663.0ms

simplify1.5s

prune594.0ms

localize42.0ms

rewrite92.0ms

series263.0ms

simplify921.0ms

prune504.0ms

regimes26.0ms