Details

sample389.0ms

Algorithm

intervals

Results

146.0ms	131×	body	1280	valid
94.0ms	66×	body	2560	valid
90.0ms	68×	body	10240	exit
17.0ms	33×	body	640	valid
9.0ms	324×	pre	80	true
2.0ms	19×	body	80	valid
2.0ms	6×	body	320	valid
0.0ms	1×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2307
4	629
3	237
2	95
1	40
0	17

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize208.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
1.4b	(- (exp (* b eps)) 1.0)
2.2b	(- (exp (* a eps)) 1.0)
2.8b	(- (exp (* (+ a b) eps)) 1.0)

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`prod-diff`
39×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-log-exp`
9×	`flip3--` `fma-neg` `flip--`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`sub-neg` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u`
3×	`diff-log`
2×	`associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

216.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
49.0ms	(- (exp (* b eps)) 1.0)
41.0ms	(- (exp (* a eps)) 1.0)
40.0ms	(- (exp (* (+ a b) eps)) 1.0)

series366.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
67.0ms	(- (exp (* b eps)) 1.0)
63.0ms	(- (exp (* a eps)) 1.0)
122.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify3.5s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	1666
1	543
0	225

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 49.9b

localize292.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (exp (* (+ a b) eps)) 1.0)
4.1b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma eps b (fma (* 1/2 (* eps eps)) (* b b) (* (* (* eps (* eps eps)) 1/6) (* (* b b) b))))))
13.8b	(* (* (* eps (* eps eps)) 1/6) (* (* b b) b))
14.6b	(fma (* 1/2 (* eps eps)) (* b b) (* (* (* eps (* eps eps)) 1/6) (* (* b b) b)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

70×	`add-cbrt-cube` `add-exp-log`
58×	`pow1`
46×	`prod-exp` `cbrt-unprod`
42×	`pow-prod-down`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
6×	`add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `flip--`
2×	`associate-l/` `associate-r/` `associate-/r/` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `times-frac` `diff-log` `associate-r` `associate-l` `-commutative` `fma-udef` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

39.0ms	(- (exp (* (+ a b) eps)) 1.0)
190.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma eps b (fma (* 1/2 (* eps eps)) (* b b) (* (* (* eps (* eps eps)) 1/6) (* (* b b) b))))))
1.0s	(* (* (* eps (* eps eps)) 1/6) (* (* b b) b))
1.0ms	(fma (* 1/2 (* eps eps)) (* b b) (* (* (* eps (* eps eps)) 1/6) (* (* b b) b)))

series6.6s

Counts

4 → 12

Calls

4 calls:

118.0ms	(- (exp (* (+ a b) eps)) 1.0)
6.0s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma eps b (fma (* 1/2 (* eps eps)) (* b b) (* (* (* eps (* eps eps)) 1/6) (* (* b b) b))))))
156.0ms	(* (* (* eps (* eps eps)) 1/6) (* (* b b) b))
288.0ms	(fma (* 1/2 (* eps eps)) (* b b) (* (* (* eps (* eps eps)) 1/6) (* (* b b) b)))

simplify6.9s

Counts

129 → 129

Iterations

Iter	Nodes
done	5018
2	3209
1	787
0	277

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 1 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
13×	`fma-def`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`distribute-lft-out`
5×	`div-inv`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

1 → 35

Calls

1 calls:

52.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify8.7s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
5	4325
4	1616
3	658
2	288
1	111
0	43

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 1 expressions with local error:

14.5b

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

rewrite105.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

102.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify5.3s

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
3	1637
2	467
1	149
0	59

prune298.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes550.0ms

Accuracy

0% (3.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample16.0s

Algorithm

intervals

Results

5.1s	1972×	body	10240	exit
4.8s	2428×	body	2560	valid
4.0s	3495×	body	1280	valid
703.0ms	1108×	body	640	valid
401.0ms	9977×	pre	80	true
254.0ms	384×	body	320	valid
57.0ms	456×	body	80	valid
38.0ms	134×	body	160	valid