Details

sample367.0ms

Algorithm

intervals

Results

126.0ms	87×	body	2560	valid
86.0ms	109×	body	1280	valid
68.0ms	53×	body	10240	exit
42.0ms	309×	pre	80	true
15.0ms	33×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	13×	body	80	valid
1.0ms	4×	body	160	valid

simplify1.6s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize53.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
3.1b	(- (exp (* b eps)) 1.0)
3.4b	(- (exp (* a eps)) 1.0)
5.2b	(- (exp (* (+ a b) eps)) 1.0)

rewrite146.0ms

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))
18.0ms	(- (exp (* b eps)) 1.0)
14.0ms	(- (exp (* a eps)) 1.0)
17.0ms	(- (exp (* (+ a b) eps)) 1.0)

series245.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
47.0ms	(- (exp (* b eps)) 1.0)
52.0ms	(- (exp (* a eps)) 1.0)
62.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify618.0ms

Counts: 88 → 88

prune551.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 51.0b

localize46.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (exp (* b eps)) 1.0)
5.2b	(- (exp (* (+ a b) eps)) 1.0)
16.5b	(* (pow a 2) (pow eps 2))
17.8b	(* (pow a 3) (pow eps 3))

rewrite103.0ms

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:

14.0ms	(- (exp (* b eps)) 1.0)
16.0ms	(- (exp (* (+ a b) eps)) 1.0)
34.0ms	(* (pow a 2) (pow eps 2))
34.0ms	(* (pow a 3) (pow eps 3))

series264.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (exp (* b eps)) 1.0)
77.0ms	(- (exp (* (+ a b) eps)) 1.0)
51.0ms	(* (pow a 2) (pow eps 2))
90.0ms	(* (pow a 3) (pow eps 3))

simplify1.2s

Counts: 150 → 150

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 50.2b

localize40.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (pow (* a eps) 3)) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0)))
3.1b	(- (exp (* b eps)) 1.0)
5.2b	(- (exp (* (+ a b) eps)) 1.0)
16.5b	(* (pow a 2) (pow eps 2))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

155.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (pow (* a eps) 3)) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0)))
19.0ms	(- (exp (* b eps)) 1.0)
15.0ms	(- (exp (* (+ a b) eps)) 1.0)
20.0ms	(* (pow a 2) (pow eps 2))

series1.3s

Counts

4 → 12

Calls

4 calls:

1.1s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (pow (* a eps) 3)) (+ (* 1/2 (* (pow a 2) (pow eps 2))) (* a eps))) (- (exp (* b eps)) 1.0)))
35.0ms	(- (exp (* b eps)) 1.0)
77.0ms	(- (exp (* (+ a b) eps)) 1.0)
46.0ms	(* (pow a 2) (pow eps 2))

simplify1.5s

Counts: 122 → 122

prune714.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite49.0ms

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:

48.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify1.2s

Counts: 22 → 22

prune56.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (2.7b remaining)

Error of 2.9b against oracle of 0.2b and baseline of 2.9b

bsearch0.0ms

simplify21.0ms

end0.0ms

sample15.0s

Algorithm

intervals

Results

5.4s	2629×	body	2560	valid
3.5s	3462×	body	1280	valid
3.3s	1938×	body	10240	exit
975.0ms	1062×	body	640	valid
972.0ms	9939×	pre	80	true
206.0ms	329×	body	320	valid
68.0ms	124×	body	160	valid
42.0ms	395×	body	80	valid