Details

sample130.0ms

Algorithm

intervals

Results

80.0ms

642×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	677	29
5	1522	29
6	4421	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.1b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite132.0ms

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`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

11.0ms	(- (* y z) (* t a))
35.0ms	(* x (- (* y z) (* t a)))
37.0ms	(* b (- (* c z) (* i a)))
46.0ms	(* j (- (* c t) (* i y)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* y z) (* t a))
110.0ms	(* x (- (* y z) (* t a)))
130.0ms	(* b (- (* c z) (* i a)))
84.0ms	(* j (- (* c t) (* i y)))

simplify3.1s

Counts

96 → 96

Iterations

Useful iterations: 2 (299.0ms)

Iter	Nodes	Cost
0	166	1155
1	425	1141
2	1219	1007
3	4448	1007
done	5000	1007

prune707.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 3.9b

localize57.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
4.2b	(* z (* b c))
4.7b	(* b (- (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite180.0ms

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×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `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 → 88

Calls

4 calls:

53.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* z (* b c))
35.0ms	(* b (- (* i a)))
57.0ms	(* j (- (* c t) (* i y)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* x (- (* y z) (* t a)))
40.0ms	(* z (* b c))
33.0ms	(* b (- (* i a)))
98.0ms	(* j (- (* c t) (* i y)))

simplify1.4s

Counts

100 → 100

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	175	1001
1	443	983
2	1451	856
done	5001	852

prune769.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.0b

localize54.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (- (* i a)))
5.7b	(cbrt (- (* c t) (* i y)))
5.7b	(cbrt (- (* c t) (* i y)))
5.7b	(cbrt (- (* c t) (* i y)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

38.0ms	(* b (- (* i a)))
12.0ms	(cbrt (- (* c t) (* i y)))
11.0ms	(cbrt (- (* c t) (* i y)))
10.0ms	(cbrt (- (* c t) (* i y)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* b (- (* i a)))
147.0ms	(cbrt (- (* c t) (* i y)))
151.0ms	(cbrt (- (* c t) (* i y)))
163.0ms	(cbrt (- (* c t) (* i y)))

simplify3.3s

Counts

73 → 73

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	110	979
1	275	943
2	871	871
3	3600	853
done	5000	802

prune782.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.0b

localize42.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.2b	(* z (* b c))
4.7b	(* b (- (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`associate-r`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`sub-neg` `associate-*r/`
4×	`*-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 96

Calls

4 calls:

99.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
34.0ms	(* z (* b c))
35.0ms	(* b (- (* i a)))
38.0ms	(* j (- (* c t) (* i y)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
47.0ms	(* z (* b c))
45.0ms	(* b (- (* i a)))
108.0ms	(* j (- (* c t) (* i y)))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	193	1428
1	533	1405
2	1880	1048
done	5000	919

prune674.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 2.0b

Details

sample130.0ms

simplify6.4s

prune4.0ms

localize49.0ms

rewrite132.0ms

series394.0ms

simplify3.1s

prune707.0ms

localize57.0ms

rewrite180.0ms

series288.0ms

simplify1.4s

prune769.0ms

localize54.0ms

rewrite75.0ms

series505.0ms

simplify3.3s

prune782.0ms

localize42.0ms

rewrite210.0ms

series388.0ms

simplify1.4s

prune674.0ms

regimes2.6s

bsearch5.0ms