Details

sample415.0ms

Algorithm

intervals

Results

140.0ms	89×	body	2560	valid
85.0ms	99×	body	1280	valid
81.0ms	58×	body	10240	exit
53.0ms	14×	body	320	valid
17.0ms	36×	body	640	valid
8.0ms	314×	pre	80	true
2.0ms	15×	body	80	valid
1.0ms	3×	body	160	valid

simplify113.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.9b	(- (exp (* b eps)) 1.0)
3.2b	(- (exp (* a eps)) 1.0)
5.5b	(- (exp (* (+ a b) eps)) 1.0)

rewrite175.0ms

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:

80.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
20.0ms	(- (exp (* b eps)) 1.0)
23.0ms	(- (exp (* a eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)

series220.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
37.0ms	(- (exp (* b eps)) 1.0)
38.0ms	(- (exp (* a eps)) 1.0)
76.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify37.0ms

Counts: 88 → 88

prune749.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 50.6b

localize40.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (* (pow a 3) (pow eps 3))) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0)))
5.5b	(- (exp (* (+ a b) eps)) 1.0)
13.0b	(* (pow a 2) (pow eps 2))
15.0b	(* (pow a 3) (pow eps 3))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
40×	`add-exp-log`
32×	`unswap-sqr`
28×	`unpow-prod-down`
22×	`prod-exp`
20×	`associate-r` `associate-l` `add-cbrt-cube` `sqr-pow`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt` `cube-prod`
12×	`pow-to-exp` `pow-exp`
10×	`unpow2`
8×	`associate-/r/`
6×	`cbrt-unprod` `add-log-exp`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv` `frac-times` `associate-*r/` `div-exp`
3×	`flip3-+` `flip-+`
2×	`cube-mult` `unpow3` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 155

Calls

4 calls:

127.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (* (pow a 3) (pow eps 3))) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0)))
18.0ms	(- (exp (* (+ a b) eps)) 1.0)
18.0ms	(* (pow a 2) (pow eps 2))
21.0ms	(* (pow a 3) (pow eps 3))

series1.2s

Counts

4 → 12

Calls

4 calls:

1.0s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (* (pow a 3) (pow eps 3))) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0)))
56.0ms	(- (exp (* (+ a b) eps)) 1.0)
41.0ms	(* (pow a 2) (pow eps 2))
86.0ms	(* (pow a 3) (pow eps 3))

simplify145.0ms

Counts: 167 → 167

prune890.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 b) (/ 1 a))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`distribute-lft-out`
6×	`times-frac`
4×	`div-inv`
3×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 19

Calls

1 calls:

33.0ms

(+ (/ 1 b) (/ 1 a))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(+ (/ 1 b) (/ 1 a))

simplify111.0ms

Counts: 22 → 22

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

15.9b

(/ (+ b a) (* b a))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

40.0ms

(/ (+ b a) (* b a))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(/ (+ b a) (* b a))

simplify58.0ms

Counts: 28 → 28

prune65.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

regimes94.0ms

Accuracy

0% (3.3b remaining)

Error of 3.5b against oracle of 0.1b and baseline of 3.5b

bsearch0.0ms

simplify2.0ms

end0.0ms

sample14.7s

Algorithm

intervals

Results

4.9s	2621×	body	2560	valid
4.7s	1993×	body	10240	exit
3.4s	3379×	body	1280	valid
567.0ms	1051×	body	640	valid
450.0ms	9993×	pre	80	true
111.0ms	347×	body	320	valid
45.0ms	467×	body	80	valid
28.0ms	135×	body	160	valid