Details

sample145.0ms

Algorithm

intervals

Results

89.0ms

633×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (284.0ms)

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
4.3b	(* b (- (* c z) (* i a)))
5.6b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* y z) (* t a)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

13.0ms	(- (* y z) (* t a))
41.0ms	(* b (- (* c z) (* i a)))
65.0ms	(* j (- (* c t) (* i y)))
30.0ms	(* x (- (* y z) (* t a)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* y z) (* t a))
128.0ms	(* b (- (* c z) (* i a)))
109.0ms	(* j (- (* c t) (* i y)))
107.0ms	(* x (- (* y z) (* t a)))

simplify3.1s

Counts

112 → 112

Iterations

Useful iterations: 2 (353.0ms)

Iter	Nodes	Cost
0	199	1357
1	476	1338
2	1362	1195
3	4980	1195
done	5000	1195

prune747.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.8b

localize43.0ms

Local error

Found 4 expressions with local error:

4.3b	(* b (- (* c z) (* i a)))
5.0b	(* t (* j c))
5.9b	(* i (* j y))
5.9b	(* x (- (* y z) (* t a)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

54.0ms	(* b (- (* c z) (* i a)))
32.0ms	(* t (* j c))
41.0ms	(* i (* j y))
29.0ms	(* x (- (* y z) (* t a)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* b (- (* c z) (* i a)))
40.0ms	(* t (* j c))
30.0ms	(* i (* j y))
90.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	196	1094
1	469	1082
2	1457	936
done	5000	936

prune734.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.7b

localize50.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (* b (- (* c z) (* i a))))
4.4b	(cbrt (* b (- (* c z) (* i a))))
5.6b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* y z) (* t a)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

20.0ms	(cbrt (* b (- (* c z) (* i a))))
11.0ms	(cbrt (* b (- (* c z) (* i a))))
28.0ms	(* j (- (* c t) (* i y)))
42.0ms	(* x (- (* y z) (* t a)))

series678.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (* b (- (* c z) (* i a))))
244.0ms	(cbrt (* b (- (* c z) (* i a))))
127.0ms	(* j (- (* c t) (* i y)))
123.0ms	(* x (- (* y z) (* t a)))

simplify1.2s

Counts

94 → 94

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	196	1284
1	477	1256
2	1403	1126
done	5000	1118

prune886.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.7b

localize64.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (* b (- (* c z) (* i a))))
5.2b	(cbrt (- (* c z) (* i a)))
5.6b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* y z) (* t a)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

21.0ms	(cbrt (* b (- (* c z) (* i a))))
12.0ms	(cbrt (- (* c z) (* i a)))
38.0ms	(* j (- (* c t) (* i y)))
47.0ms	(* x (- (* y z) (* t a)))

series224.0ms

Calls

2 calls:

118.0ms	(* j (- (* c t) (* i y)))
87.0ms	(* x (- (* y z) (* t a)))