Details

sample57.0ms

Algorithm

intervals

Results

33.0ms

385×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	11	15
1	25	13
2	69	11
3	188	9
4	410	9
5	693	9
6	946	9
7	1263	9
8	1510	9
9	1595	9
done	1595	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- d4 d1) (- d2 d3))
0.0b	(* d1 (+ (- d4 d1) (- d2 d3)))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
14×	`add-log-exp`
8×	`flip3--` `frac-add` `flip--` `distribute-lft-out` `distribute-lft-out--`
7×	`associate-r`
6×	`add-sqr-sqrt` `associate-*r/`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube`
3×	`associate-l`
2×	`sub-neg` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `associate-+r-` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 58

Calls

2 calls:

50.0ms	(+ (- d4 d1) (- d2 d3))
174.0ms	(* d1 (+ (- d4 d1) (- d2 d3)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (- d4 d1) (- d2 d3))
68.0ms	(* d1 (+ (- d4 d1) (- d2 d3)))

simplify941.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	120	894
1	380	839
2	1397	787
done	5000	787

prune188.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (- (+ d4 d2) d1) (- d3)))

rewrite597.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

596.0ms

(* d1 (+ (- (+ d4 d2) d1) (- d3)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* d1 (+ (- (+ d4 d2) d1) (- d3)))

simplify2.3s

Counts

31 → 31

Iterations

Useful iterations: 3 (961.0ms)

Iter	Nodes	Cost
0	57	361
1	168	315
2	599	274
3	3822	272
done	5000	272

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b	(- (* d1 d2) (* d1 d3))
0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

29.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
9.0ms	(- (* d1 d2) (* d1 d3))
233.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series207.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
70.0ms	(- (* d1 d2) (* d1 d3))
86.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify2.8s

Counts

54 → 54

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	88	867
1	255	659
2	942	547
3	4686	527
done	5001	527

prune116.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1)
0.2b	(* (+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1) (- (sqrt (* d1 (+ d4 (- d2 d3)))) d1))
0.8b	(sqrt (* d1 (+ d4 (- d2 d3))))
0.8b	(sqrt (* d1 (+ d4 (- d2 d3))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`pow1` `*-un-lft-identity`
6×	`add-exp-log` `add-cube-cbrt` `flip3-+` `associate-r/` `associate-r*` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-l` `sqrt-prod`
4×	`frac-times` `sqrt-pow1` `sqrt-div` `distribute-lft-out`
3×	`flip3--` `pow-prod-down` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/2` `associate-*l/` `distribute-lft-out--`
1×	`+-commutative` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

21.0ms	(+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1)
167.0ms	(* (+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1) (- (sqrt (* d1 (+ d4 (- d2 d3)))) d1))
21.0ms	(sqrt (* d1 (+ d4 (- d2 d3))))
15.0ms	(sqrt (* d1 (+ d4 (- d2 d3))))

series4.3s

Counts

4 → 12

Calls

4 calls:

233.0ms	(+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1)
3.6s	(* (+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1) (- (sqrt (* d1 (+ d4 (- d2 d3)))) d1))
234.0ms	(sqrt (* d1 (+ d4 (- d2 d3))))
231.0ms	(sqrt (* d1 (+ d4 (- d2 d3))))

simplify802.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	153	2020
1	425	1660
2	1703	1478
done	5000	1478

prune228.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

Details

sample57.0ms

simplify3.6s

prune5.0ms

localize13.0ms

rewrite227.0ms

series128.0ms

simplify941.0ms

prune188.0ms

localize21.0ms

rewrite597.0ms

series57.0ms

simplify2.3s

prune75.0ms

localize17.0ms

rewrite273.0ms

series207.0ms

simplify2.8s

prune116.0ms

localize14.0ms

rewrite227.0ms

series4.3s

simplify802.0ms

prune228.0ms

regimes1.0ms