Details

sample356.0ms

Algorithm

intervals

Results

127.0ms	92×	body	2560	valid
94.0ms	53×	body	10240	exit
84.0ms	108×	body	1280	valid
14.0ms	30×	body	640	valid
8.0ms	309×	pre	80	true
2.0ms	6×	body	320	valid
2.0ms	17×	body	80	valid
1.0ms	3×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* b eps))
2.7b	(- (exp (* a eps)) 1.0)
3.6b	(- (exp (* b eps)) 1.0)
5.6b	(- (exp (* (+ a b) eps)) 1.0)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-log-exp`
10×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 52

Calls

4 calls:

3.0ms	(exp (* b eps))
9.0ms	(- (exp (* a eps)) 1.0)
9.0ms	(- (exp (* b eps)) 1.0)
10.0ms	(- (exp (* (+ a b) eps)) 1.0)

series180.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(exp (* b eps))
49.0ms	(- (exp (* a eps)) 1.0)
49.0ms	(- (exp (* b eps)) 1.0)
68.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	2335
2	657
1	248
0	114

prune472.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 49.8b

localize120.0ms

Local error

Found 4 expressions with local error:

2.7b	(- (exp (* a eps)) 1.0)
3.9b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (+ (* eps b) (/ (* (* eps b) (* eps b)) 2)) (* (* 1/6 b) (* eps (* (* eps b) (* eps b)))))))
4.4b	(* (* 1/6 b) (* eps (* (* eps b) (* eps b))))
5.6b	(- (exp (* (+ a b) eps)) 1.0)

rewrite438.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-cbrt-cube` `add-exp-log`
60×	`pow1`
48×	`prod-exp` `cbrt-unprod`
44×	`pow-prod-down`
8×	`add-sqr-sqrt` `*-un-lft-identity` `associate-/r/` `add-log-exp`
6×	`flip3--` `flip--`
4×	`frac-times` `cbrt-undiv` `div-exp` `associate-*r/` `add-cube-cbrt`
3×	`flip3-+` `flip-+`
2×	`sub-neg` `diff-log` `associate-*l/` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `associate-r` `associate-l` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 105

Calls

4 calls:

10.0ms	(- (exp (* a eps)) 1.0)
175.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (+ (* eps b) (/ (* (* eps b) (* eps b)) 2)) (* (* 1/6 b) (* eps (* (* eps b) (* eps b)))))))
237.0ms	(* (* 1/6 b) (* eps (* (* eps b) (* eps b))))
11.0ms	(- (exp (* (+ a b) eps)) 1.0)

series2.5s

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (exp (* a eps)) 1.0)
2.3s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (+ (* eps b) (/ (* (* eps b) (* eps b)) 2)) (* (* 1/6 b) (* eps (* (* eps b) (* eps b)))))))
83.0ms	(* (* 1/6 b) (* eps (* (* eps b) (* eps b))))
62.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify4.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
2	4557
1	886
0	271

prune753.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:

21.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify3.4s

Counts

22 → 22

Iterations

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

prune147.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

14.9b

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

rewrite38.0ms

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-+` `div-inv` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

36.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify3.3s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
3	1576
2	465
1	145
0	55

prune178.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes263.0ms

Accuracy

90.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 3.3b

bsearch3.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	39
1	39
0	27

end0.0ms

sample14.8s

Algorithm

intervals

Results

4.5s	3434×	body	1280	valid
4.2s	2558×	body	2560	valid
3.4s	1964×	body	10240	exit
849.0ms	444×	body	80	valid
672.0ms	1098×	body	640	valid
392.0ms	9968×	pre	80	true
239.0ms	346×	body	320	valid
29.0ms	124×	body	160	valid