Details

sample231.0ms

Algorithm

intervals

Results

76.0ms	73×	body	2560	valid
61.0ms	62×	body	10240	exit
56.0ms	112×	body	1280	valid
10.0ms	42×	body	640	valid
5.0ms	318×	pre	80	true
2.0ms	11×	body	320	valid
1.0ms	16×	body	80	valid
0.0ms	2×	body	160	valid

simplify93.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.2b	(- (exp (* b eps)) 1.0)
3.2b	(- (exp (* a eps)) 1.0)
4.9b	(- (exp (* (+ a b) eps)) 1.0)

rewrite110.0ms

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:

71.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
12.0ms	(- (exp (* b eps)) 1.0)
12.0ms	(- (exp (* a eps)) 1.0)
13.0ms	(- (exp (* (+ a b) eps)) 1.0)

series181.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
40.0ms	(- (exp (* b eps)) 1.0)
36.0ms	(- (exp (* a eps)) 1.0)
51.0ms	(- (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

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 48.0b

localize33.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (+ (* 1/6 (* (pow a 3) (pow eps 3))) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0))
4.9b	(- (exp (* (+ a b) eps)) 1.0)
11.8b	(* (pow a 2) (pow eps 2))
14.7b	(* (pow a 3) (pow eps 3))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
33×	`unswap-sqr`
30×	`add-exp-log`
28×	`unpow-prod-down`
25×	`associate-r`
23×	`associate-l`
20×	`*-un-lft-identity` `sqr-pow`
19×	`prod-exp`
16×	`add-cube-cbrt`
14×	`cube-prod`
12×	`pow-to-exp` `pow-exp`
10×	`add-cbrt-cube` `unpow2`
6×	`pow1` `add-log-exp`
4×	`frac-times` `flip3--` `flip--`
3×	`sub-neg` `flip3-+` `pow-prod-down` `*-commutative` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `unpow3` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log`

Counts

4 → 156

Calls

4 calls:

228.0ms	(* (+ (* 1/6 (* (pow a 3) (pow eps 3))) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0))
16.0ms	(- (exp (* (+ a b) eps)) 1.0)
16.0ms	(* (pow a 2) (pow eps 2))
19.0ms	(* (pow a 3) (pow eps 3))

series277.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (+ (* 1/6 (* (pow a 3) (pow eps 3))) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0))
49.0ms	(- (exp (* (+ a b) eps)) 1.0)
38.0ms	(* (pow a 2) (pow eps 2))
63.0ms	(* (pow a 3) (pow eps 3))

simplify125.0ms

Counts

168 → 168

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	674	1509
1	3525	1362
2	5001	1319
done	5001	1319

prune875.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 48.0b

localize37.0ms

Local error

Found 4 expressions with local error:

4.9b	(- (exp (* (+ a b) eps)) 1.0)
4.9b	(- (exp (* (+ a b) eps)) 1.0)
11.8b	(* (pow a 2) (pow eps 2))
14.7b	(* (pow a 3) (pow eps 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)
16.0ms	(- (exp (* (+ a b) eps)) 1.0)
16.0ms	(* (pow a 2) (pow eps 2))
19.0ms	(* (pow a 3) (pow eps 3))

series203.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (exp (* (+ a b) eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)
33.0ms	(* (pow a 2) (pow eps 2))
67.0ms	(* (pow a 3) (pow eps 3))

simplify71.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	393	792
1	1851	695
2	5001	652
done	5001	652

prune625.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 48.0b

localize40.0ms

Local error

Found 4 expressions with local error:

4.9b	(- (exp (* (+ a b) eps)) 1.0)
4.9b	(- (exp (* (+ a b) eps)) 1.0)
11.8b	(* (pow a 2) (pow eps 2))
14.7b	(* (pow a 3) (pow eps 3))

rewrite71.0ms

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)
13.0ms	(- (exp (* (+ a b) eps)) 1.0)
21.0ms	(* (pow a 2) (pow eps 2))
19.0ms	(* (pow a 3) (pow eps 3))

series203.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (exp (* (+ a b) eps)) 1.0)
53.0ms	(- (exp (* (+ a b) eps)) 1.0)
33.0ms	(* (pow a 2) (pow eps 2))
66.0ms	(* (pow a 3) (pow eps 3))

simplify74.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	393	792
1	1851	695
2	5001	652
done	5001	652

prune657.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 48.0b

regimes223.0ms

Accuracy

42.1% (4.9b remaining)

Error of 54.0b against oracle of 49.1b and baseline of 57.6b

bsearch306.0ms

Steps

Iters	Range		Point
8	1.3570171099140072e+73	1.3980927165417124e+76	1.6045903834141747e+73
8	-5.309103864954449e+112	-1.0187590636892086e+110	-1.0320051143206996e+110

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	62
1	85	62
2	85	62
done	85	62

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.4s	2511×	body	2560	valid
1.7s	1982×	body	10240	exit
1.7s	3429×	body	1280	valid
299.0ms	1112×	body	640	valid
152.0ms	9984×	pre	80	true
65.0ms	367×	body	320	valid
23.0ms	451×	body	80	valid
15.0ms	132×	body	160	valid