Details

sample141.0ms

Algorithm

intervals

Results

113.0ms	134×	body	10240	exit
16.0ms	256×	body	80	valid

simplify8.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

8.0ms

(/ (exp a) (+ (exp a) (exp b)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp a) (+ (exp a) (exp b)))
0.0b	(+ (exp a) (exp b))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

Slowest

33.0ms	(+ (exp a) (exp b))
29.0ms	(/ (exp a) (+ (exp a) (exp b)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

59.0ms	(/ (exp a) (+ (exp a) (exp b)))
34.0ms	(+ (exp a) (exp b))

simplify1.2s

Counts

44 → 60

Calls

44 calls:

Slowest

410.0ms	(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
125.0ms	(- (+ (* 1/4 a) 1/2) (* 1/4 b))
119.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
56.0ms	(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
35.0ms	(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune594.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp a) (+ (exp b) (exp a)))
0.0b	(+ (exp b) (exp a))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

Slowest

33.0ms	(/ (exp a) (+ (exp b) (exp a)))
17.0ms	(+ (exp b) (exp a))

series61.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

37.0ms	(/ (exp a) (+ (exp b) (exp a)))
24.0ms	(+ (exp b) (exp a))

simplify1.0s

Counts

44 → 60

Calls

44 calls:

Slowest

344.0ms	(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))
117.0ms	(+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))
106.0ms	(- (+ (* 1/4 a) 1/2) (* 1/4 b))
35.0ms	(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp b) (exp a))) (cbrt (+ (exp b) (exp a)))))
28.0ms	(/ 1 (* (cbrt (+ (exp b) (exp a))) (cbrt (+ (exp b) (exp a)))))

prune554.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (exp a) (cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))))
0.0b	(* (+ (exp b) (exp a)) (+ (exp b) (exp a)))
0.0b	(cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))
0.0b	(* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

88×	`frac-times`
87×	`flip3-+` `flip-+`
52×	`cbrt-div`
44×	`associate-*l/`
34×	`*-un-lft-identity`
30×	`pow1`
26×	`associate-*r/` `associate-/r/`
21×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
12×	`times-frac` `add-cbrt-cube` `add-exp-log`
8×	`associate-r`
7×	`pow-plus` `pow-prod-up` `distribute-lft-out`
6×	`swap-sqr`
5×	`cbrt-prod` `associate-l`
4×	`expm1-log1p-u` `associate-/r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-sqr` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `div-exp` `rem-cbrt-cube` `div-inv`

Counts

4 → 202

Calls

4 calls:

Slowest

108.0ms	(* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))
55.0ms	(cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))
46.0ms	(* (+ (exp b) (exp a)) (+ (exp b) (exp a)))
28.0ms	(/ (exp a) (cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

53.0ms	(* (+ (exp b) (exp a)) (+ (exp b) (exp a)))
47.0ms	(/ (exp a) (cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))))
35.0ms	(* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))
32.0ms	(cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))

simplify46.1s

Counts

210 → 214

Calls

210 calls:

Slowest

889.0ms	(* (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
838.0ms	(cbrt (* (* (+ (exp b) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp a)))) (- (* (exp b) (exp b)) (* (exp a) (exp a)))))
825.0ms	(* (* (- (* (exp b) (exp b)) (* (exp a) (exp a))) (- (* (exp b) (exp b)) (* (exp a) (exp a)))) (- (* (exp b) (exp b)) (* (exp a) (exp a))))
806.0ms	(* (* (+ (exp b) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp a)))) (- (* (exp b) (exp b)) (* (exp a) (exp a))))
802.0ms	(* (* (- (* (exp b) (exp b)) (* (exp a) (exp a))) (- (* (exp b) (exp b)) (* (exp a) (exp a)))) (+ (exp b) (exp a)))

prune2.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes113.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch1.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.1s	3518×	body	10240	exit
1.1s	8000×	body	80	valid