Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

368×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	11	15
1	26	13
2	80	10
3	227	9
4	539	9
5	1137	9
6	1513	9
7	2157	9
8	2580	9
9	2609	9
done	2609	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `diff-log`
5×	`prod-diff`
4×	`fma-def` `fma-neg` `sum-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
2×	`associate-+l-` `flip3--` `flip--` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `difference-of-squares`

Counts

3 → 64

Calls

3 calls:

3.0ms	(- (* d1 d2) (* d1 d3))
74.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
13.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series131.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* d1 d2) (* d1 d3))
56.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
38.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify443.0ms

Counts

73 → 73

Iterations

Useful iterations: done (441.0ms)

Iter	Nodes	Cost
0	106	1089
1	305	848
2	1207	692
done	5000	675

prune171.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `difference-of-squares`

Counts

2 → 32

Calls

2 calls:

3.0ms	(- (fma d1 (- d2 d3) (* d4 d1)) (* d1 d1))
0.0ms	(fma d1 (- d2 d3) (* d4 d1))

series88.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (fma d1 (- d2 d3) (* d4 d1)) (* d1 d1))
34.0ms	(fma d1 (- d2 d3) (* d4 d1))

simplify148.0ms

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	60	570
1	136	538
2	412	445