Details

sample110.0ms

Algorithm

intervals

Results

76.0ms	103×	body	10240	exit
23.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp a) (+ (exp a) (exp b)))
0.0b	(+ (exp a) (exp b))

rewrite26.0ms

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

16.0ms	(/ (exp a) (+ (exp a) (exp b)))
9.0ms	(+ (exp a) (exp b))

series91.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

57.0ms	(/ (exp a) (+ (exp a) (exp b)))
34.0ms	(+ (exp a) (exp b))

simplify1.1s

Counts

44 → 60

Calls

44 calls:

Slowest

383.0ms	(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
132.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
91.0ms	(- (+ (* 1/4 a) 1/2) (* 1/4 b))
65.0ms	(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
34.0ms	(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune514.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (exp a) (+ (exp a) (exp b)))
0.0b	(+ (exp a) (exp b))
0.0b	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
0.0b	(exp (/ (exp a) (+ (exp a) (exp b))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`add-cbrt-cube` `associate-/r/`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `associate-/r*` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `fma-def` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `rem-log-exp` `rem-exp-log`

Counts

4 → 116

Calls

4 calls:

Slowest

35.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
30.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
25.0ms	(/ (exp a) (+ (exp a) (exp b)))
12.0ms	(+ (exp a) (exp b))

series564.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

425.0ms	(/ (exp a) (+ (exp a) (exp b)))
69.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
39.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
31.0ms	(+ (exp a) (exp b))

simplify3.0s

Counts

91 → 128

Calls

91 calls:

Slowest

401.0ms	(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
371.0ms	(exp (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))))
351.0ms	(- (+ (* 1/4 (* a (exp 1/2))) (exp 1/2)) (* 1/4 (* b (exp 1/2))))
205.0ms	(exp (/ (exp a) (- (* (exp a) (exp a)) (* (exp b) (exp b)))))
161.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- a b) (exp 1/2))
0.0b	(fma 1/4 (* (- a b) (exp 1/2)) (exp 1/2))
0.0b	(log (fma 1/4 (* (- a b) (exp 1/2)) (exp 1/2)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-cbrt-cube` `associate-l` `add-exp-log`
3×	`expm1-log1p-u` `log-prod` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

Slowest

20.0ms	(* (- a b) (exp 1/2))
1.0ms	(log (fma 1/4 (* (- a b) (exp 1/2)) (exp 1/2)))
0.0ms	(fma 1/4 (* (- a b) (exp 1/2)) (exp 1/2))

series390.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

183.0ms	(log (fma 1/4 (* (- a b) (exp 1/2)) (exp 1/2)))
112.0ms	(fma 1/4 (* (- a b) (exp 1/2)) (exp 1/2))
96.0ms	(* (- a b) (exp 1/2))

simplify3.2s

Counts

26 → 60

Calls

26 calls:

Slowest

343.0ms	(- (+ (* 1/4 (* a (exp 1/2))) (exp 1/2)) (* 1/4 (* b (exp 1/2))))
337.0ms	(- (+ (* 1/4 (* a (exp 1/2))) (exp 1/2)) (* 1/4 (* b (exp 1/2))))
298.0ms	(* (* (* (- a b) (- a b)) (- a b)) (* (* (exp 1/2) (exp 1/2)) (exp 1/2)))
298.0ms	(- (+ (* 1/4 (* a (exp 1/2))) (exp 1/2)) (* 1/4 (* b (exp 1/2))))
293.0ms	(log (* (cbrt (fma 1/4 (* (- a b) (exp 1/2)) (exp 1/2))) (cbrt (fma 1/4 (* (- a b) (exp 1/2)) (exp 1/2)))))

prune619.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

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

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes204.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.9s	3282×	body	10240	exit
1.1s	8000×	body	80	valid