Details

sample947.0ms

Algorithm

intervals

Results

540.0ms	76×	body	2560	valid
184.0ms	76×	body	10240	exit
152.0ms	124×	body	1280	valid
23.0ms	31×	body	640	valid
15.0ms	332×	pre	80	true
5.0ms	11×	body	320	valid
2.0ms	11×	body	80	valid
1.0ms	3×	body	160	valid

simplify365.0ms

Calls

1 calls:

Slowest

365.0ms

(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.3b

localize51.0ms

Local error

Found 4 expressions with local error:

38.3b	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))
0.1b	(* (expm1 (* (+ a b) eps)) eps)
0.1b	(* (expm1 (* eps b)) (expm1 (* eps a)))
0.0b	(* (+ a b) eps)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-l`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3-+` `times-frac` `pow-prod-down` `flip-+` `div-inv` `associate-/l`

Calls

4 calls:

Slowest

10.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))
8.0ms	(* (+ a b) eps)
5.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
3.0ms	(* (expm1 (* (+ a b) eps)) eps)

series573.0ms

Calls

4 calls:

Slowest

411.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))
88.0ms	(* (expm1 (* (+ a b) eps)) eps)
50.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
25.0ms	(* (+ a b) eps)

simplify3.5s

Calls

34 calls:

Slowest

756.0ms	(/ (* (* (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* (+ a b) eps)) eps)) (* (expm1 (* (+ a b) eps)) eps)) (* (* (* (expm1 (* eps b)) (expm1 (* eps a))) (* (expm1 (* eps b)) (expm1 (* eps a)))) (* (expm1 (* eps b)) (expm1 (* eps a)))))
540.0ms	(/ (* (* (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* (+ a b) eps)) eps)) (* (expm1 (* (+ a b) eps)) eps)) (* (* (* (expm1 (* eps b)) (expm1 (* eps b))) (expm1 (* eps b))) (* (* (expm1 (* eps a)) (expm1 (* eps a))) (expm1 (* eps a)))))
339.0ms	(/ (* (- (exp (* (+ a b) eps)) 1) eps) (- (+ (* (exp (* a eps)) (exp (* eps b))) 1) (+ (exp (* eps b)) (exp (* a eps)))))
311.0ms	(/ (* (- (exp (* (+ a b) eps)) 1) eps) (- (+ (* (exp (* a eps)) (exp (* eps b))) 1) (+ (exp (* eps b)) (exp (* a eps)))))
284.0ms	(- (log (* (expm1 (* (+ a b) eps)) eps)) (+ (log (expm1 (* eps b))) (log (expm1 (* eps a)))))

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`div-inv`
4×	`fma-def` `distribute-lft-out`
3×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Calls

1 calls:

Slowest

5.0ms

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

series7.0ms

Calls

1 calls:

Slowest

7.0ms

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

simplify135.0ms

Calls

12 calls:

Slowest

17.0ms	(+ (/ 1 b) (/ 1 a))
16.0ms	(* (exp (/ 1 a)) (exp (/ 1 b)))
14.0ms	(+ (/ 1 b) (/ 1 a))
14.0ms	(+ (/ 1 a) (/ 1 b))
11.0ms	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

13.0b

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `-un-lft-identity` `times-frac` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `associate-/l`
2×	`associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

8.0ms

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

series26.0ms

Calls

1 calls:

Slowest

26.0ms

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

simplify286.0ms

Calls

15 calls:

Slowest

147.0ms	(/ (* (* (+ b a) (+ b a)) (+ b a)) (* (* (* a b) (* a b)) (* a b)))
35.0ms	(- (log (+ b a)) (log (* a b)))
26.0ms	(- (* b b) (* a a))
13.0ms	(+ (pow b 3) (pow a 3))
12.0ms	(/ (* (cbrt (+ b a)) (cbrt (+ b a))) a)

prune175.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.5b	(/ (/ (+ b a) a) b)
0.0b	(/ (+ b a) a)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/l*`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`div-inv` `associate-/l/`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `flip-+`

Calls

2 calls:

Slowest

6.0ms	(/ (/ (+ b a) a) b)
3.0ms	(/ (+ b a) a)

series35.0ms

Calls

2 calls:

Slowest

20.0ms	(/ (/ (+ b a) a) b)
15.0ms	(/ (+ b a) a)

simplify137.0ms

Calls

14 calls:

Slowest

23.0ms	(- (* b b) (* a a))
15.0ms	(+ (/ 1 a) (/ 1 b))
15.0ms	(+ 1 (/ b a))
14.0ms	(+ (pow b 3) (pow a 3))
12.0ms	(+ 1 (/ b a))

prune294.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.1b

bsearch2.0ms

end0.0ms

sample18.9s

Algorithm

intervals

Results

6.1s	2593×	body	2560	valid
5.3s	1938×	body	10240	exit
4.9s	3488×	body	1280	valid
948.0ms	1035×	body	640	valid
567.0ms	9940×	pre	80	true
442.0ms	119×	body	160	valid
224.0ms	355×	body	320	valid
74.0ms	412×	body	80	valid