Details

sample450.0ms

Algorithm

intervals

Results

149.0ms	86×	body	2560	valid
147.0ms	111×	body	1280	valid
92.0ms	56×	body	10240	exit
16.0ms	32×	body	640	valid
9.0ms	312×	pre	80	true
6.0ms	16×	body	320	valid
1.0ms	10×	body	80	valid
0.0ms	1×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	40	24
2	101	24
3	258	24
4	765	24
5	4008	24
done	5000	24

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
3.1b	(- (exp (* b eps)) 1.0)
3.3b	(- (exp (* a eps)) 1.0)
5.5b	(- (exp (* (+ a b) eps)) 1.0)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
10×	`flip3--` `flip--` `add-log-exp`
9×	`fma-neg`
8×	`associate-/r/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
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 → 117

Calls

4 calls:

88.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
27.0ms	(- (exp (* b eps)) 1.0)
15.0ms	(- (exp (* a eps)) 1.0)
22.0ms	(- (exp (* (+ a b) eps)) 1.0)

series479.0ms

Counts

4 → 12

Calls

4 calls:

328.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
38.0ms	(- (exp (* b eps)) 1.0)
44.0ms	(- (exp (* a eps)) 1.0)
68.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.6s

Counts

129 → 129

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	228	2725
1	625	2441
2	2992	1949
done	5001	1847

prune532.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 34

Calls

1 calls:

30.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify1.8s

Counts

37 → 37

Iterations

Useful iterations: 3 (394.0ms)

Iter	Nodes	Cost
0	42	245
1	110	231
2	460	211
3	2128	210
done	5001	210

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt b) (cbrt b))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series1.2s

Counts

4 → 12

Calls

4 calls:

338.0ms	(* (cbrt b) (cbrt b))
309.0ms	(cbrt b)
274.0ms	(cbrt b)
314.0ms	(cbrt b)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune414.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

10.8b

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

rewrite34.0ms

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

Counts

1 → 27

Calls

1 calls:

33.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify2.0s

Counts

30 → 30

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	58	304
1	148	298
2	513	256
3	2313	256
done	5000	256

prune63.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (3.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample15.7s

Algorithm

intervals

Results

5.8s	2572×	body	2560	valid
4.0s	2016×	body	10240	exit
3.9s	3520×	body	1280	valid
740.0ms	1031×	body	640	valid
343.0ms	10019×	pre	80	true
117.0ms	319×	body	320	valid
96.0ms	441×	body	80	valid
28.0ms	120×	body	160	valid