Details

sample618.0ms

Algorithm

intervals

Results

176.0ms	71×	body	10240	exit
161.0ms	116×	body	1280	valid
158.0ms	71×	body	2560	valid
65.0ms	36×	body	640	valid
17.0ms	327×	pre	80	true
7.0ms	13×	body	320	valid
3.0ms	8×	body	160	valid
2.0ms	12×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
5	4055
4	686
3	213
2	96
1	41
0	17

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.7b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.8b	(- (exp (* a eps)) 1)
4.5b	(- (exp (* b eps)) 1)
5.6b	(- (exp (* (+ a b) eps)) 1)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
10×	`flip3--` `flip--` `add-log-exp`
8×	`associate-/r/`
6×	`difference-of-squares`
4×	`frac-times` `pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `add-cube-cbrt` `cbrt-unprod` `insert-posit16`
3×	`sub-neg` `diff-log` `difference-of-sqr-1` `distribute-lft-out--`
2×	`associate-*l/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 83

Calls

4 calls:

56.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
14.0ms	(- (exp (* a eps)) 1)
13.0ms	(- (exp (* b eps)) 1)
20.0ms	(- (exp (* (+ a b) eps)) 1)

series383.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
53.0ms	(- (exp (* a eps)) 1)
58.0ms	(- (exp (* b eps)) 1)
67.0ms	(- (exp (* (+ a b) eps)) 1)

simplify745.0ms

Counts

95 → 95

Iterations

Iter	Nodes
2	2121
1	488
0	182

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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-+` `insert-posit16`

Counts

1 → 20

Calls

1 calls:

13.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify947.0ms

Counts

23 → 23

Iterations

Iter	Nodes
4	2330
3	898
2	363
1	101
0	41

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

14.4b

(/ (+ b a) (* a b))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-cbrt-cube` `add-exp-log`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out` `associate-/l/`
1×	`pow1` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

24.0ms

(/ (+ b a) (* a b))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(/ (+ b a) (* a b))

simplify4.3s

Counts

29 → 29

Iterations

Iter	Nodes
4	6147
3	1932
2	534
1	147
0	57

prune275.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ b a) b)
6.9b	(* (/ 1 a) (/ (+ b a) b))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`times-frac`
26×	`add-exp-log` `add-cube-cbrt`
16×	`add-cbrt-cube` `associate-r`
13×	`associate-l`
9×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out`
6×	`unswap-sqr`
5×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod` `associate-/l*`
3×	`associate-/r*` `div-inv`
2×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+`

Counts

2 → 94

Calls

2 calls:

16.0ms	(/ (+ b a) b)
27.0ms	(* (/ 1 a) (/ (+ b a) b))

series90.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (+ b a) b)
46.0ms	(* (/ 1 a) (/ (+ b a) b))

simplify2.4s

Counts

100 → 100

Iterations

Iter	Nodes
3	3367
2	1142
1	408
0	143

prune763.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

0% (3.4b remaining)

Error of 3.5b against oracle of 0.1b and baseline of 3.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample19.5s

Algorithm

intervals

Results

5.8s	3445×	body	1280	valid
5.8s	2520×	body	2560	valid
5.4s	1959×	body	10240	exit
1.1s	1111×	body	640	valid
494.0ms	9960×	pre	80	true
237.0ms	328×	body	320	valid
84.0ms	475×	body	80	valid
47.0ms	122×	body	160	valid