Details

sample37.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	257×	pre	80	false

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	48	11
3	103	11
4	330	11
5	1613	11
done	5000	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1 (/ (* b b) (* a a)))
31.5b	(/ (* b b) (* a a))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `prod-diff`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt`
6×	`times-frac`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `difference-of-squares`
3×	`fma-neg`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--`

Counts

2 → 60

Calls

2 calls:

16.0ms	(- 1 (/ (* b b) (* a a)))
20.0ms	(/ (* b b) (* a a))

series87.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- 1 (/ (* b b) (* a a)))
42.0ms	(/ (* b b) (* a a))

simplify2.9s

Counts

66 → 66

Iterations

Useful iterations: 2 (541.0ms)

Iter	Nodes	Cost
0	117	1348
1	346	1022
2	2763	742
done	5002	742

prune174.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p (* (/ b a) (- (/ b a))))
0.4b	(* (/ b a) (- (/ b a)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-r`
29×	`add-sqr-sqrt`
28×	`times-frac`
24×	`add-cube-cbrt` `*-un-lft-identity`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-l`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`expm1-log1p-u` `div-inv`
2×	`prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-neg-frac` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `frac-times` `neg-mul-1` `log1p-udef` `log1p-expm1` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `*-commutative` `distribute-rgt-neg-out`

Counts

2 → 75

Calls

2 calls:

1.0ms	(log1p (* (/ b a) (- (/ b a))))
69.0ms	(* (/ b a) (- (/ b a)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(log1p (* (/ b a) (- (/ b a))))
61.0ms	(* (/ b a) (- (/ b a)))

simplify3.0s

Counts

81 → 81

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	152	860
1	464	821
2	3382	751
done	5000	749

prune401.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	14	12
done	14	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

466.0ms	8000×	body	80	valid
195.0ms	8125×	pre	80	false
168.0ms	8000×	pre	80	true