Details

sample393.0ms

Algorithm

intervals

Results

122.0ms	75×	body	10240	exit
108.0ms	75×	body	2560	valid
108.0ms	111×	body	1280	valid
16.0ms	35×	body	640	valid
8.0ms	331×	pre	80	true
3.0ms	11×	body	320	valid
2.0ms	20×	body	80	valid
1.0ms	4×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
3.2b	(- (exp (* b eps)) 1.0)
4.7b	(- (exp (* a eps)) 1.0)
7.2b	(- (exp (* (+ a b) eps)) 1.0)

rewrite88.0ms

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`
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 → 76

Calls

4 calls:

53.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
9.0ms	(- (exp (* b eps)) 1.0)
13.0ms	(- (exp (* a eps)) 1.0)
10.0ms	(- (exp (* (+ a b) eps)) 1.0)

series532.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
36.0ms	(- (exp (* b eps)) 1.0)
55.0ms	(- (exp (* a eps)) 1.0)
59.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1263
1	356
0	143

prune595.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 49.3b

localize78.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* (* 1/6 eps) (* eps eps)) b)
4.7b	(- (exp (* a eps)) 1.0)
7.2b	(- (exp (* (+ a b) eps)) 1.0)
14.5b	(* (* b b) (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2)))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

75.0ms	(* (* (* 1/6 eps) (* eps eps)) b)
9.0ms	(- (exp (* a eps)) 1.0)
11.0ms	(- (exp (* (+ a b) eps)) 1.0)
374.0ms	(* (* b b) (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (* 1/6 eps) (* eps eps)) b)
52.0ms	(- (exp (* a eps)) 1.0)
74.0ms	(- (exp (* (+ a b) eps)) 1.0)
165.0ms	(* (* b b) (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2)))

simplify2.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	2297
1	569
0	181

prune748.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 48.9b

localize118.0ms

Local error

Found 4 expressions with local error:

3.5b	(* b (* b (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2))))
4.7b	(- (exp (* a eps)) 1.0)
7.2b	(- (exp (* (+ a b) eps)) 1.0)
8.8b	(* b (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2)))

rewrite753.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-l` `associate-*r/`
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:

409.0ms	(* b (* b (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2))))
12.0ms	(- (exp (* a eps)) 1.0)
20.0ms	(- (exp (* (+ a b) eps)) 1.0)
309.0ms	(* b (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* b (* b (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2))))
39.0ms	(- (exp (* a eps)) 1.0)
77.0ms	(- (exp (* (+ a b) eps)) 1.0)
180.0ms	(* b (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2)))

simplify2.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5014
2	1941
1	456
0	155

prune727.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 48.8b

localize116.0ms

Local error

Found 4 expressions with local error:

4.7b	(- (exp (* a eps)) 1.0)
4.7b	(- (exp (* a eps)) 1.0)
7.2b	(- (exp (* (+ a b) eps)) 1.0)
8.8b	(* b (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2)))

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

18.0ms	(- (exp (* a eps)) 1.0)
18.0ms	(- (exp (* a eps)) 1.0)
21.0ms	(- (exp (* (+ a b) eps)) 1.0)
353.0ms	(* b (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (exp (* a eps)) 1.0)
50.0ms	(- (exp (* a eps)) 1.0)
86.0ms	(- (exp (* (+ a b) eps)) 1.0)
169.0ms	(* b (+ (* (* (* 1/6 eps) (* eps eps)) b) (* (* eps eps) 1/2)))

simplify1.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
2	1346
1	353
0	125

prune710.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 48.8b

regimes401.0ms

Accuracy

30.7% (5.6b remaining)

Error of 54.1b against oracle of 48.5b and baseline of 56.6b

bsearch621.0ms

Steps

Iters	Range		Point
8	9.771871430253465e+151	3.847441393369284e+155	7.839366344298225e+152
8	-8.118999248575724e+163	-2.0536992248257694e+161	-2.0725558632117732e+161

simplify72.0ms

Iterations

Iter	Nodes
done	81
1	81
0	58

end0.0ms

sample15.2s

Algorithm

intervals

Results

5.7s	2622×	body	2560	valid
4.0s	1934×	body	10240	exit
3.4s	3375×	body	1280	valid
824.0ms	9935×	pre	80	true
644.0ms	1048×	body	640	valid
119.0ms	356×	body	320	valid
48.0ms	479×	body	80	valid
28.0ms	121×	body	160	valid