Details

sample349.0ms

Algorithm

intervals

Results

129.0ms	81×	body	2560	valid
86.0ms	72×	body	10240	exit
80.0ms	119×	body	1280	valid
12.0ms	32×	body	640	valid
7.0ms	328×	pre	80	true
2.0ms	7×	body	320	valid
2.0ms	6×	body	160	valid
1.0ms	11×	body	80	valid

simplify1.7s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.5b	(- (exp (* a eps)) 1.0)
3.0b	(- (exp (* b eps)) 1.0)
4.2b	(- (exp (* (+ a b) eps)) 1.0)

rewrite138.0ms

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:

95.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
12.0ms	(- (exp (* a eps)) 1.0)
12.0ms	(- (exp (* b eps)) 1.0)
16.0ms	(- (exp (* (+ a b) eps)) 1.0)

series190.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
41.0ms	(- (exp (* a eps)) 1.0)
34.0ms	(- (exp (* b eps)) 1.0)
54.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify671.0ms

Counts: 88 → 88

prune429.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 48.4b

localize46.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (exp (* b eps)) 1.0)
4.2b	(- (exp (* (+ a b) eps)) 1.0)
16.1b	(* (pow a 2) (pow eps 2))
17.0b	(* (pow a 3) (pow eps 3))

rewrite109.0ms

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:

19.0ms	(- (exp (* b eps)) 1.0)
20.0ms	(- (exp (* (+ a b) eps)) 1.0)
31.0ms	(* (pow a 2) (pow eps 2))
30.0ms	(* (pow a 3) (pow eps 3))

series266.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (exp (* b eps)) 1.0)
74.0ms	(- (exp (* (+ a b) eps)) 1.0)
45.0ms	(* (pow a 2) (pow eps 2))
97.0ms	(* (pow a 3) (pow eps 3))

simplify1.2s

Counts: 150 → 150

prune762.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 47.7b

localize46.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (exp (* b eps)) 1.0)
4.2b	(- (exp (* (+ a b) eps)) 1.0)
12.6b	(* (* a a) (* a (pow eps 3)))
16.1b	(* (pow a 2) (pow eps 2))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

12.0ms	(- (exp (* b eps)) 1.0)
21.0ms	(- (exp (* (+ a b) eps)) 1.0)
54.0ms	(* (* a a) (* a (pow eps 3)))
22.0ms	(* (pow a 2) (pow eps 2))

series194.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (exp (* b eps)) 1.0)
57.0ms	(- (exp (* (+ a b) eps)) 1.0)
66.0ms	(* (* a a) (* a (pow eps 3)))
38.0ms	(* (pow a 2) (pow eps 2))

simplify880.0ms

Counts: 115 → 115

prune627.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 47.7b

localize50.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (exp (* b eps)) 1.0)
4.2b	(- (exp (* (+ a b) eps)) 1.0)
12.6b	(* (* a a) (* a (pow eps 3)))
16.1b	(* (pow a 2) (pow eps 2))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

15.0ms	(- (exp (* b eps)) 1.0)
20.0ms	(- (exp (* (+ a b) eps)) 1.0)
42.0ms	(* (* a a) (* a (pow eps 3)))
31.0ms	(* (pow a 2) (pow eps 2))

series272.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (exp (* b eps)) 1.0)
71.0ms	(- (exp (* (+ a b) eps)) 1.0)
93.0ms	(* (* a a) (* a (pow eps 3)))
54.0ms	(* (pow a 2) (pow eps 2))

simplify997.0ms

Counts: 115 → 115

prune773.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 47.7b

regimes479.0ms

Accuracy

40.1% (5.1b remaining)

Error of 53.8b against oracle of 48.7b and baseline of 57.2b

bsearch1.4s

Steps

Iters	Range	Point
7	2.360257581849189e+40	1.4320232286948178e+42	2.203170970751294e+41
9	-1.641350801313992e+89	-1.1919820294027844e+83	-1.0385978807793052e+87
10	-4.296522735851171e+210	-2.9722888371521497e+199	-3.769180615523052e+199

Iters

Range

Point

2.360257581849189e+40

1.4320232286948178e+42

2.203170970751294e+41

-1.641350801313992e+89

-1.1919820294027844e+83

-1.0385978807793052e+87

-4.296522735851171e+210

-2.9722888371521497e+199

-3.769180615523052e+199

simplify1.5s

end0.0ms

sample14.8s

Algorithm

intervals

Results

4.3s	2569×	body	2560	valid
4.3s	2024×	body	10240	exit
4.0s	3411×	body	1280	valid
970.0ms	1069×	body	640	valid
427.0ms	10027×	pre	80	true
122.0ms	375×	body	320	valid
61.0ms	136×	body	160	valid
45.0ms	443×	body	80	valid