Details

sample422.0ms

Algorithm

intervals

Results

171.0ms	88×	body	2560	valid
98.0ms	69×	body	10240	exit
82.0ms	110×	body	1280	valid
13.0ms	32×	body	640	valid
8.0ms	325×	pre	80	true
4.0ms	12×	body	320	valid
1.0ms	11×	body	80	valid
1.0ms	3×	body	160	valid

simplify4.4s

Counts

1 → 1

Iterations

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.5b	(- (exp (* b eps)) 1.0)
2.9b	(- (exp (* a eps)) 1.0)
4.1b	(- (exp (* (+ a b) eps)) 1.0)

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`flip3--` `flip--`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sub-neg` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`frac-times` `insert-posit16`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

111.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
17.0ms	(- (exp (* b eps)) 1.0)
24.0ms	(- (exp (* a eps)) 1.0)
18.0ms	(- (exp (* (+ a b) eps)) 1.0)

series381.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
89.0ms	(- (exp (* b eps)) 1.0)
61.0ms	(- (exp (* a eps)) 1.0)
104.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify3.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1381
1	363
0	147

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 49.9b

localize203.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (- (exp (* a eps)) 1.0) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* (* b eps) (* b eps)) 1/2))))
3.2b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* (* b eps) (* b eps)) 1/2)))))
4.1b	(- (exp (* (+ a b) eps)) 1.0)
13.0b	(* (* 1/6 (* b (* b b))) (* eps (* eps eps)))

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

72×	`add-cbrt-cube` `add-exp-log`
60×	`pow1`
47×	`prod-exp` `cbrt-unprod`
43×	`pow-prod-down`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`frac-times` `flip3--` `associate-/r/` `flip--`
6×	`flip3-+` `associate-l` `associate-*r/` `add-cube-cbrt` `flip-+` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-*l/` `insert-posit16`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `distribute-lft-in` `times-frac` `diff-log` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

1.4s	(* (- (exp (* a eps)) 1.0) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* (* b eps) (* b eps)) 1/2))))
490.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* (* b eps) (* b eps)) 1/2)))))
28.0ms	(- (exp (* (+ a b) eps)) 1.0)
315.0ms	(* (* 1/6 (* b (* b b))) (* eps (* eps eps)))

series6.9s

Counts

4 → 12

Calls

4 calls:

576.0ms	(* (- (exp (* a eps)) 1.0) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* (* b eps) (* b eps)) 1/2))))
6.1s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* (* 1/6 (* b (* b b))) (* eps (* eps eps))) (+ (* eps b) (* (* (* b eps) (* b eps)) 1/2)))))
98.0ms	(- (exp (* (+ a b) eps)) 1.0)
129.0ms	(* (* 1/6 (* b (* b b))) (* eps (* eps eps)))

simplify3.6s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
1	1008
0	311

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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:

43.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify7.7s

Counts

23 → 23

Iterations

Iter	Nodes
done	5016
5	3709
4	1410
3	624
2	306
1	105
0	41

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

15.1b

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

rewrite32.0ms

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:

30.0ms

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

series86.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify4.2s

Counts

29 → 29

Iterations

Iter	Nodes
done	5004
3	1841
2	514
1	147
0	57

prune276.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes777.0ms

Accuracy

94.5% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 3.4b

bsearch5.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	39
1	39
0	27

end0.0ms

sample14.8s

Algorithm

intervals

Results

5.2s	2616×	body	2560	valid
4.2s	1972×	body	10240	exit
3.4s	3439×	body	1280	valid
663.0ms	1014×	body	640	valid
468.0ms	9976×	pre	80	true
113.0ms	341×	body	320	valid
98.0ms	462×	body	80	valid
28.0ms	132×	body	160	valid