Details

sample416.0ms

Algorithm

intervals

Results

176.0ms	92×	body	2560	valid
103.0ms	108×	body	1280	valid
75.0ms	53×	body	10240	exit
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

simplify2.5s

Counts

1 → 1

Iterations

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

prune23.0ms

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)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
12×	`add-log-exp`
9×	`fma-neg`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 96

Calls

4 calls:

3.0ms	(exp (* b eps))
11.0ms	(- (exp (* a eps)) 1.0)
11.0ms	(- (exp (* b eps)) 1.0)
12.0ms	(- (exp (* (+ a b) eps)) 1.0)

series199.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(exp (* b eps))
49.0ms	(- (exp (* a eps)) 1.0)
46.0ms	(- (exp (* b eps)) 1.0)
92.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify2.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
3	3422
2	902
1	383
0	166

prune699.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 49.8b

localize86.0ms

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

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-cbrt-cube` `add-exp-log`
29×	`pow1`
23×	`add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
19×	`pow-prod-down` `add-cube-cbrt`
18×	`prod-diff`
8×	`add-log-exp`
6×	`fma-neg`
4×	`expm1-log1p-u` `cbrt-undiv` `flip3--` `div-exp` `log1p-expm1-u` `flip--`
3×	`associate-r`
2×	`sub-neg` `diff-log` `associate-l/` `associate-r/` `associate-/r/` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `associate-l` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

21.0ms	(- (exp (* a eps)) 1.0)
57.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma (* (* eps (* (* eps b) (* eps b))) b) 1/6 (fma (* (* eps b) (* eps b)) 1/2 (* eps b)))))
276.0ms	(* (* eps (* (* eps b) (* eps b))) b)
23.0ms	(- (exp (* (+ a b) eps)) 1.0)

series2.4s

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (exp (* a eps)) 1.0)
2.2s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma (* (* eps (* (* eps b) (* eps b))) b) 1/6 (fma (* (* eps b) (* eps b)) 1/2 (* eps b)))))
98.0ms	(* (* eps (* (* eps b) (* eps b))) b)
67.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify3.3s

Counts

127 → 127

Iterations

Iter	Nodes
done	5042
2	3450
1	808
0	279

prune835.0ms

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))

rewrite25.0ms

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-+` `log1p-expm1-u`

Counts

1 → 34

Calls

1 calls:

23.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify4.0s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
5	4525
4	1680
3	692
2	316
1	110
0	42

prune214.0ms

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))

rewrite33.0ms

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-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

31.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify3.2s

Counts

30 → 30

Iterations

Iter	Nodes
done	5002
3	1625
2	476
1	147
0	57

prune131.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes241.0ms

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

sample15.0s

Algorithm

intervals

Results

5.0s	2558×	body	2560	valid
4.8s	3434×	body	1280	valid
3.2s	1964×	body	10240	exit
705.0ms	1098×	body	640	valid
443.0ms	9968×	pre	80	true
121.0ms	346×	body	320	valid
46.0ms	444×	body	80	valid
26.0ms	124×	body	160	valid