Details

sample246.0ms

Algorithm

intervals

Results

107.0ms	105×	body	2560	valid
55.0ms	65×	body	10240	exit
46.0ms	97×	body	1280	valid
13.0ms	30×	body	640	valid
6.0ms	321×	pre	80	true
2.0ms	11×	body	320	valid
1.0ms	10×	body	80	valid
0.0ms	3×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	40	24
2	101	24
3	240	24
4	663	24
5	3002	24
done	5001	24

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.2b	(- (exp (* b eps)) 1.0)
3.2b	(- (exp (* a eps)) 1.0)
4.4b	(- (exp (* (+ a b) eps)) 1.0)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

24.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
4.0ms	(- (exp (* b eps)) 1.0)
4.0ms	(- (exp (* a eps)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)

series161.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
33.0ms	(- (exp (* b eps)) 1.0)
33.0ms	(- (exp (* a eps)) 1.0)
49.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify454.0ms

Counts

88 → 88

Iterations

Useful iterations: done (452.0ms)

Iter	Nodes	Cost
0	143	1364
1	349	1326
2	1358	1196
done	5001	1190

prune321.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 52.9b

localize31.0ms

Local error

Found 4 expressions with local error:

3.3b	(* eps (+ a (* (* 1/2 (pow a 2)) eps)))
4.4b	(- (exp (* (+ a b) eps)) 1.0)
6.5b	(* (* 1/2 (pow a 2)) eps)
16.1b	(* (pow a 3) (pow eps 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
28×	`add-exp-log`
18×	`associate-r`
17×	`prod-exp` `unswap-sqr`
16×	`associate-l`
15×	`*-un-lft-identity`
14×	`unpow-prod-down` `cube-prod`
13×	`add-cube-cbrt` `add-cbrt-cube`
10×	`sqr-pow`
8×	`pow1`
7×	`pow-to-exp` `pow-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`cube-mult` `unpow3` `associate-*r/`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

7.0ms	(* eps (+ a (* (* 1/2 (pow a 2)) eps)))
4.0ms	(- (exp (* (+ a b) eps)) 1.0)
9.0ms	(* (* 1/2 (pow a 2)) eps)
11.0ms	(* (pow a 3) (pow eps 3))

series192.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* eps (+ a (* (* 1/2 (pow a 2)) eps)))
49.0ms	(- (exp (* (+ a b) eps)) 1.0)
21.0ms	(* (* 1/2 (pow a 2)) eps)
66.0ms	(* (pow a 3) (pow eps 3))

simplify41.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	180	1520