Details

sample2.3s

Algorithm

intervals

Results

1.4s	316×	pre	80	true
236.0ms	118×	body	1280	valid
196.0ms	60×	body	10240	exit
188.0ms	61×	body	2560	valid
42.0ms	41×	body	640	valid
11.0ms	18×	body	80	valid
7.0ms	15×	body	320	valid
1.0ms	3×	body	160	valid

simplify8.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2049
4	573
3	224
2	95
1	40
0	17

prune52.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.4b

localize100.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
3.9b	(- (exp (* b eps)) 1.0)
4.6b	(- (exp (* a eps)) 1.0)
6.6b	(- (exp (* (+ a b) eps)) 1.0)

rewrite622.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

201.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
25.0ms	(- (exp (* b eps)) 1.0)
27.0ms	(- (exp (* a eps)) 1.0)
353.0ms	(- (exp (* (+ a b) eps)) 1.0)

series925.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
332.0ms	(- (exp (* b eps)) 1.0)
204.0ms	(- (exp (* a eps)) 1.0)
266.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify4.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1262
1	355
0	143

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 47.0b

localize245.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* (* eps (* eps eps)) 1/6) b)
4.6b	(- (exp (* a eps)) 1.0)
6.6b	(- (exp (* (+ a b) eps)) 1.0)
14.5b	(* (* b b) (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b)))

rewrite834.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-log-exp`
6×	`add-cube-cbrt` `associate-r`
2×	`sub-neg` `flip3--` `diff-log` `associate-r/` `associate-l` `-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

529.0ms	(* (* (* eps (* eps eps)) 1/6) b)
32.0ms	(- (exp (* a eps)) 1.0)
36.0ms	(- (exp (* (+ a b) eps)) 1.0)
191.0ms	(* (* b b) (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b)))

series960.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* (* eps (* eps eps)) 1/6) b)
115.0ms	(- (exp (* a eps)) 1.0)
215.0ms	(- (exp (* (+ a b) eps)) 1.0)
574.0ms	(* (* b b) (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b)))

simplify5.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	2008
1	522
0	179

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 46.6b

localize222.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (exp (* a eps)) 1.0)
5.3b	(* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b)))
6.6b	(- (exp (* (+ a b) eps)) 1.0)
7.0b	(* b (* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b))))

rewrite656.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-r/` `associate-l*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`unswap-sqr`

Counts

4 → 74

Calls

4 calls:

33.0ms	(- (exp (* a eps)) 1.0)
208.0ms	(* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b)))
34.0ms	(- (exp (* (+ a b) eps)) 1.0)
330.0ms	(* b (* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b))))

series1.1s

Counts

4 → 12

Calls

4 calls:

153.0ms	(- (exp (* a eps)) 1.0)
255.0ms	(* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b)))
123.0ms	(- (exp (* (+ a b) eps)) 1.0)
592.0ms	(* b (* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b))))

simplify6.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1873
1	442
0	155

prune3.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 46.6b

localize486.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (exp (* a eps)) 1.0)
5.3b	(* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b)))
6.6b	(- (exp (* (+ a b) eps)) 1.0)
7.0b	(* b (* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b))))

rewrite694.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-r/` `associate-l*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`unswap-sqr`

Counts

4 → 74

Calls

4 calls:

35.0ms	(- (exp (* a eps)) 1.0)
169.0ms	(* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b)))
172.0ms	(- (exp (* (+ a b) eps)) 1.0)
295.0ms	(* b (* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b))))

series1.9s

Counts

4 → 12

Calls

4 calls:

322.0ms	(- (exp (* a eps)) 1.0)
350.0ms	(* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b)))
223.0ms	(- (exp (* (+ a b) eps)) 1.0)
995.0ms	(* b (* b (+ (* (* eps eps) 1/2) (* (* (* eps (* eps eps)) 1/6) b))))

simplify9.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1873
1	442
0	155

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 46.6b

regimes1.5s

Accuracy

53.3% (3.6b remaining)

Error of 52.0b against oracle of 48.4b and baseline of 56.1b

bsearch3.6s

Steps

Iters	Range		Point
8	1180206.5730270573	2170219655.463572	340393273.87688285
7	-7.630788582584833e+51	-3.797492101649676e+49	-3.296149559147507e+50

simplify506.0ms

Iterations

Iter	Nodes
done	79
1	79
0	55

end0.0ms

sample1.2m

Algorithm

intervals

Results

31.1s	1949×	body	10240	exit
20.2s	2524×	body	2560	valid
11.9s	3400×	body	1280	valid
3.4s	9950×	pre	80	true
2.7s	1081×	body	640	valid
351.0ms	394×	body	320	valid
119.0ms	463×	body	80	valid
89.0ms	139×	body	160	valid