Details

sample547.0ms

Algorithm

intervals

Results

161.0ms	78×	body	2560	valid
156.0ms	69×	body	10240	exit
134.0ms	116×	body	1280	valid
42.0ms	325×	pre	80	true
24.0ms	33×	body	640	valid
6.0ms	11×	body	320	valid
3.0ms	7×	body	160	valid
2.0ms	11×	body	80	valid

simplify2.4s

Counts: 1 → 1

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.8b

localize67.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (exp (* (+ a b) eps)) 1)
3.4b	(- (exp (* b eps)) 1)
3.4b	(- (exp (* a eps)) 1)
0.2b	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
10×	`add-log-exp` `difference-of-squares`
9×	`flip3--` `flip--`
7×	`associate-r` `associate-l`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sub-neg` `difference-of-sqr-1` `distribute-lft-out--`
4×	`frac-times` `insert-posit16`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

Slowest

112.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
22.0ms	(- (exp (* (+ a b) eps)) 1)
19.0ms	(- (exp (* b eps)) 1)
19.0ms	(- (exp (* a eps)) 1)

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

76.0ms	(- (exp (* (+ a b) eps)) 1)
57.0ms	(- (exp (* b eps)) 1)
53.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
43.0ms	(- (exp (* a eps)) 1)

simplify2.1s

Counts: 102 → 102

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 42.3b

localize61.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (exp (* (+ a b) eps)) 1)
3.4b	(- (exp (* a eps)) 1)
2.7b	(* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b)))))
2.6b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))))

rewrite693.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`add-cbrt-cube` `add-exp-log`
15×	`*-un-lft-identity`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-/r/` `add-log-exp`
7×	`associate-l`
6×	`pow1` `flip3-+` `associate-*r/` `add-cube-cbrt` `flip-+` `difference-of-squares`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `insert-posit16`
3×	`difference-of-sqr-1` `associate-r` `distribute-lft-out--`
2×	`sub-neg` `diff-log` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

Slowest

328.0ms	(* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b)))))
305.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))))
36.0ms	(- (exp (* (+ a b) eps)) 1)
22.0ms	(- (exp (* a eps)) 1)

series1.9s

Counts

4 → 12

Calls

4 calls:

Slowest

1.6s	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))))
271.0ms	(* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b)))))
50.0ms	(- (exp (* (+ a b) eps)) 1)
33.0ms	(- (exp (* a eps)) 1)

simplify2.2s

Counts: 111 → 111

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16`

Counts

1 → 20

Calls

1 calls:

Slowest

10.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

15.0ms

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

simplify1.4s

Counts: 23 → 23

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (exp (* (+ a b) eps)) 1)
3.4b	(- (exp (* a eps)) 1)
2.7b	(* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b)))))
2.5b	(+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))

rewrite464.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-log-exp`
7×	`associate-l`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `difference-of-squares`
5×	`flip3--` `flip--`
4×	`frac-times` `flip3-+` `flip-+` `insert-posit16`
3×	`sum-log` `difference-of-sqr-1` `associate-r` `distribute-lft-out--`
2×	`sub-neg` `diff-log` `associate-l/` `associate-r/`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

Slowest

330.0ms	(* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b)))))
96.0ms	(+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))
22.0ms	(- (exp (* a eps)) 1)
14.0ms	(- (exp (* (+ a b) eps)) 1)

series471.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

259.0ms	(* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b)))))
118.0ms	(+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))
55.0ms	(- (exp (* (+ a b) eps)) 1)
39.0ms	(- (exp (* a eps)) 1)

simplify918.0ms

Counts: 93 → 93

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (3.1b remaining)

Error of 3.5b against oracle of 0.4b and baseline of 3.5b

bsearch2.0ms

end0.0ms

sample17.5s

Algorithm

intervals

Results

5.7s	2562×	body	2560	valid
4.7s	3456×	body	1280	valid
4.3s	1939×	body	10240	exit
1.3s	1055×	body	640	valid
743.0ms	9940×	pre	80	true
177.0ms	335×	body	320	valid
138.0ms	469×	body	80	valid
42.0ms	124×	body	160	valid