Details

sample455.0ms

Algorithm

intervals

Results

153.0ms	67×	body	10240	exit
128.0ms	77×	body	2560	valid
103.0ms	114×	body	1280	valid
24.0ms	36×	body	640	valid
9.0ms	323×	pre	80	true
2.0ms	8×	body	320	valid
2.0ms	16×	body	80	valid
1.0ms	5×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.1s)

Iter	Nodes	Cost
0	17	614
1	40	614
2	95	614
3	224	614
4	572	584
5	2045	544
done	5000	544

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.7b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
2.9b	(- (exp (* a eps)) 1.0)
3.3b	(- (exp (* b eps)) 1.0)
4.7b	(- (exp (* (+ a b) eps)) 1.0)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `flip--` `add-log-exp`
8×	`associate-/r/`
4×	`frac-times` `pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `add-cube-cbrt` `cbrt-unprod`
3×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 73

Calls

4 calls:

51.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
25.0ms	(- (exp (* a eps)) 1.0)
18.0ms	(- (exp (* b eps)) 1.0)
17.0ms	(- (exp (* (+ a b) eps)) 1.0)

series457.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
59.0ms	(- (exp (* a eps)) 1.0)
57.0ms	(- (exp (* b eps)) 1.0)
66.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify4.4s

Counts

85 → 85

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	174	41354
1	481	36421
2	2053	35621
done	5178	35621

prune620.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 a) (/ 1 b))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`distribute-lft-out`
6×	`times-frac`
4×	`div-inv`
3×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
1×	`pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+`

Counts

1 → 19

Calls

1 calls:

19.0ms

(+ (/ 1 a) (/ 1 b))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(+ (/ 1 a) (/ 1 b))

simplify4.8s

Counts

22 → 22

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	40	4292
1	102	3720
2	270	3720
3	568	3720
4	1436	3720
5	3767	3720
done	5000	3720

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1 a) (/ 1 b))
3.1b	(exp (log (+ (/ 1 a) (/ 1 b))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
14×	`distribute-lft-out`
12×	`times-frac`
10×	`log-prod` `exp-sum`
8×	`add-sqr-sqrt` `add-cube-cbrt` `div-inv`
4×	`exp-prod` `add-log-exp`
3×	`pow1` `log-div` `exp-diff`
2×	`flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+`
1×	`+-commutative` `sum-log` `log-pow` `rem-exp-log`

Counts

2 → 44

Calls

2 calls:

37.0ms	(+ (/ 1 a) (/ 1 b))
36.0ms	(exp (log (+ (/ 1 a) (/ 1 b))))

series41.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (/ 1 a) (/ 1 b))
21.0ms	(exp (log (+ (/ 1 a) (/ 1 b))))

simplify85.0ms

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	88	14952