Details

sample218.0ms

Algorithm

intervals

Results

73.0ms	73×	body	2560	valid
58.0ms	117×	body	1280	valid
49.0ms	52×	body	10240	exit
10.0ms	36×	body	640	valid
7.0ms	308×	pre	80	true
1.0ms	8×	body	320	valid
1.0ms	18×	body	80	valid
0.0ms	4×	body	160	valid

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	13
1	101	13
2	245	13
3	697	13
4	3463	13
5	5001	13
done	5001	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.7b	(- (exp (* b eps)) 1.0)
2.8b	(- (exp (* a eps)) 1.0)
4.4b	(- (exp (* (+ a b) eps)) 1.0)

rewrite106.0ms

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:

67.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
12.0ms	(- (exp (* b eps)) 1.0)
11.0ms	(- (exp (* a eps)) 1.0)
13.0ms	(- (exp (* (+ a b) eps)) 1.0)

series177.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
38.0ms	(- (exp (* b eps)) 1.0)
36.0ms	(- (exp (* a eps)) 1.0)
52.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify40.0ms

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	346	733
1	1449	673
2	5001	673
done	5001	673

prune344.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 48.1b

localize34.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (exp (* a eps)) 1.0)
4.4b	(- (exp (* (+ a b) eps)) 1.0)
14.1b	(* (pow eps 2) (pow b 2))
15.4b	(* (pow eps 3) (pow b 3))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`unswap-sqr`
28×	`add-exp-log` `unpow-prod-down`
20×	`associate-r` `associate-l` `sqr-pow`
18×	`*-un-lft-identity` `prod-exp`
14×	`add-cube-cbrt` `cube-prod`
12×	`pow-to-exp` `pow-exp`
10×	`unpow2`
8×	`add-cbrt-cube` `add-log-exp`
4×	`pow1`
2×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 138

Calls

4 calls:

12.0ms	(- (exp (* a eps)) 1.0)
17.0ms	(- (exp (* (+ a b) eps)) 1.0)
16.0ms	(* (pow eps 2) (pow b 2))
19.0ms	(* (pow eps 3) (pow b 3))

series189.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (exp (* a eps)) 1.0)
49.0ms	(- (exp (* (+ a b) eps)) 1.0)
32.0ms	(* (pow eps 2) (pow b 2))
68.0ms	(* (pow eps 3) (pow b 3))

simplify79.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	460	772
1	2092	679
2	5001	636
done	5001	636

prune582.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 47.9b

localize38.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (exp (* (+ a b) eps)) 1.0)
4.4b	(- (exp (* (+ a b) eps)) 1.0)
14.1b	(* (pow eps 2) (pow b 2))
15.4b	(* (pow eps 3) (pow b 3))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`unswap-sqr`
28×	`add-exp-log` `unpow-prod-down`
20×	`associate-r` `associate-l` `sqr-pow`
18×	`*-un-lft-identity` `prod-exp`
14×	`add-cube-cbrt` `cube-prod`
12×	`pow-to-exp` `pow-exp`
10×	`unpow2`
8×	`add-cbrt-cube` `add-log-exp`
4×	`pow1`
2×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 138

Calls

4 calls:

13.0ms	(- (exp (* (+ a b) eps)) 1.0)
17.0ms	(- (exp (* (+ a b) eps)) 1.0)
16.0ms	(* (pow eps 2) (pow b 2))
18.0ms	(* (pow eps 3) (pow b 3))

series209.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (exp (* (+ a b) eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)
33.0ms	(* (pow eps 2) (pow b 2))
69.0ms	(* (pow eps 3) (pow b 3))

simplify73.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	399	792
1	1909	695
2	5001	652
done	5001	652

prune676.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 47.9b

localize40.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (exp (* a eps)) 1.0)
4.4b	(- (exp (* (+ a b) eps)) 1.0)
14.1b	(* (pow eps 2) (pow b 2))
15.4b	(* (pow eps 3) (pow b 3))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`unswap-sqr`
28×	`add-exp-log` `unpow-prod-down`
20×	`associate-r` `associate-l` `sqr-pow`
18×	`*-un-lft-identity` `prod-exp`
14×	`add-cube-cbrt` `cube-prod`
12×	`pow-to-exp` `pow-exp`
10×	`unpow2`
8×	`add-cbrt-cube` `add-log-exp`
4×	`pow1`
2×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 138

Calls

4 calls:

12.0ms	(- (exp (* a eps)) 1.0)
16.0ms	(- (exp (* (+ a b) eps)) 1.0)
16.0ms	(* (pow eps 2) (pow b 2))
19.0ms	(* (pow eps 3) (pow b 3))

series194.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (exp (* a eps)) 1.0)
49.0ms	(- (exp (* (+ a b) eps)) 1.0)
34.0ms	(* (pow eps 2) (pow b 2))
69.0ms	(* (pow eps 3) (pow b 3))

simplify81.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	460	772
1	2092	679
2	5001	636
done	5001	636

prune612.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 47.9b

regimes254.0ms

Accuracy

47.5% (4.6b remaining)

Error of 53.8b against oracle of 49.2b and baseline of 58.0b

bsearch455.0ms

Steps

Iters	Range	Point
7	1.5508478278740396e+18	5.540055658358989e+19	3.830860370444742e+19
9	-6.913431520583017e+89	-5.532268721092573e+81	-5.631940663491904e+81
6	-7.158745375370162e+196	-1.2105462976687154e+196	-6.3172743455367056e+196

Iters

Range

Point

1.5508478278740396e+18

5.540055658358989e+19

3.830860370444742e+19

-6.913431520583017e+89

-5.532268721092573e+81

-5.631940663491904e+81

-7.158745375370162e+196

-1.2105462976687154e+196

-6.3172743455367056e+196

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	98
1	97	98
done	97	98

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.5s	2571×	body	2560	valid
1.8s	1948×	body	10240	exit
1.7s	3483×	body	1280	valid
304.0ms	1054×	body	640	valid
146.0ms	9949×	pre	80	true
63.0ms	332×	body	320	valid
25.0ms	448×	body	80	valid
14.0ms	113×	body	160	valid