Details

sample245.0ms

Algorithm

intervals

Results

80.0ms	82×	body	2560	valid
70.0ms	111×	body	1280	valid
58.0ms	70×	body	10240	exit
11.0ms	37×	body	640	valid
5.0ms	326×	pre	80	true
2.0ms	10×	body	320	valid
1.0ms	13×	body	80	valid
0.0ms	3×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.9b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
3.1b	(- (exp (* b eps)) 1.0)
3.7b	(- (exp (* a eps)) 1.0)
5.6b	(- (exp (* (+ a b) eps)) 1.0)

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

47.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
261.0ms	(- (exp (* b eps)) 1.0)
11.0ms	(- (exp (* a eps)) 1.0)
13.0ms	(- (exp (* (+ a b) eps)) 1.0)

series305.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (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)

simplify656.0ms

Counts: 85 → 85

prune287.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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` `add-exp-log` `+-commutative` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 19

Calls

1 calls:

20.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify765.0ms

Counts: 22 → 22

prune40.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

15.2b

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

22.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify527.0ms

Counts: 28 → 28

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ b a) b)
6.0b	(/ (/ (+ b a) b) a)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`associate-/l*`
16×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3-+` `flip-+`

Counts

2 → 115

Calls

2 calls:

19.0ms	(/ (+ b a) b)
22.0ms	(/ (/ (+ b a) b) a)

series56.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (+ b a) b)
35.0ms	(/ (/ (+ b a) b) a)

simplify1.1s

Counts: 121 → 121

prune286.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes105.0ms

Accuracy

0% (3.4b remaining)

Error of 3.6b against oracle of 0.1b and baseline of 3.6b

bsearch0.0ms

simplify17.0ms

end0.0ms

sample9.6s

Algorithm

intervals

Results

3.4s	2548×	body	2560	valid
2.5s	2055×	body	10240	exit
2.3s	3423×	body	1280	valid
456.0ms	1083×	body	640	valid
296.0ms	10057×	pre	80	true
98.0ms	344×	body	320	valid
58.0ms	475×	body	80	valid
17.0ms	129×	body	160	valid