Details

sample46.0ms

Algorithm

intervals

Results

32.0ms

277×

body

valid

simplify33.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

33.0ms

(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.3b

localize24.0ms

Local error

Found 3 expressions with local error:

22.3b	(/ (fma a c (* b d)) (fma d d (* c c)))
0.3b	(fma a c (* b d))
0.0b	(fma d d (* c c))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

Slowest

8.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))
1.0ms	(fma a c (* b d))
0.0ms	(fma d d (* c c))

series236.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

138.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))
49.0ms	(fma d d (* c c))
49.0ms	(fma a c (* b d))

simplify1.2s

Counts

34 → 61

Calls

34 calls:

Slowest

393.0ms	(/ (* (* (fma a c (* b d)) (fma a c (* b d))) (fma a c (* b d))) (* (* (fma d d (* c c)) (fma d d (* c c))) (fma d d (* c c))))
86.0ms	(/ (* (cbrt (fma a c (* b d))) (cbrt (fma a c (* b d)))) (* (cbrt (fma d d (* c c))) (cbrt (fma d d (* c c)))))
43.0ms	(/ (cbrt (fma a c (* b d))) (cbrt (fma d d (* c c))))
38.0ms	(/ (sqrt (fma a c (* b d))) (sqrt (fma d d (* c c))))
35.0ms	(/ (sqrt (fma a c (* b d))) 1)

prune776.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.9b

localize47.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (fma d d (* c c)))
27.9b	(sqrt (fma d d (* c c)))
13.5b	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
0.3b	(fma a c (* b d))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 87

Calls

4 calls:

Slowest

9.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
2.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))
0.0ms	(fma a c (* b d))

series402.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

178.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
87.0ms	(sqrt (fma d d (* c c)))
77.0ms	(sqrt (fma d d (* c c)))
60.0ms	(fma a c (* b d))

simplify1.9s

Counts

68 → 99

Calls

68 calls:

Slowest

317.0ms	(/ (* (* (fma a c (* b d)) (fma a c (* b d))) (fma a c (* b d))) (* (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c)))))
63.0ms	(/ (* (cbrt (fma a c (* b d))) (cbrt (fma a c (* b d)))) (sqrt 1))
60.0ms	(/ (* (cbrt (fma a c (* b d))) (cbrt (fma a c (* b d)))) (* (cbrt (sqrt (fma d d (* c c)))) (cbrt (sqrt (fma d d (* c c))))))
52.0ms	(/ (* (cbrt (fma a c (* b d))) (cbrt (fma a c (* b d)))) (sqrt (sqrt (fma d d (* c c)))))
51.0ms	(/ (sqrt (fma a c (* b d))) (sqrt (* (cbrt (fma d d (* c c))) (cbrt (fma d d (* c c))))))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 20.5b

localize31.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (fma d d (* c c)))
27.9b	(sqrt (fma d d (* c c)))
13.6b	(/ (sqrt (fma d d (* c c))) (fma a c (* b d)))
0.3b	(fma a c (* b d))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `fma-udef`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 87

Calls

4 calls:

Slowest

6.0ms	(/ (sqrt (fma d d (* c c))) (fma a c (* b d)))
3.0ms	(sqrt (fma d d (* c c)))
3.0ms	(sqrt (fma d d (* c c)))
0.0ms	(fma a c (* b d))

series768.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

572.0ms	(/ (sqrt (fma d d (* c c))) (fma a c (* b d)))
75.0ms	(sqrt (fma d d (* c c)))
62.0ms	(fma a c (* b d))
59.0ms	(sqrt (fma d d (* c c)))

simplify1.9s

Counts

68 → 99

Calls

68 calls:

Slowest

259.0ms	(/ (* (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c)))) (* (* (fma a c (* b d)) (fma a c (* b d))) (fma a c (* b d))))
73.0ms	(/ (* (cbrt (sqrt (fma d d (* c c)))) (cbrt (sqrt (fma d d (* c c))))) (* (cbrt (fma a c (* b d))) (cbrt (fma a c (* b d)))))
56.0ms	(/ (* (cbrt (sqrt (fma d d (* c c)))) (cbrt (sqrt (fma d d (* c c))))) (sqrt (fma a c (* b d))))
48.0ms	(/ (cbrt (sqrt (fma d d (* c c)))) (cbrt (fma a c (* b d))))
48.0ms	(/ (sqrt (sqrt (fma d d (* c c)))) (sqrt (fma a c (* b d))))

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 20.5b

localize88.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (fma d d (* c c)))
27.9b	(sqrt (fma d d (* c c)))
14.1b	(cbrt (fma a c (* b d)))
14.1b	(cbrt (fma a c (* b d)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3` `fma-udef` `hypot-def`

Counts

4 → 62

Calls

4 calls:

Slowest

1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(cbrt (fma a c (* b d)))
1.0ms	(cbrt (fma a c (* b d)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

158.0ms	(cbrt (fma a c (* b d)))
142.0ms	(cbrt (fma a c (* b d)))
59.0ms	(sqrt (fma d d (* c c)))
53.0ms	(sqrt (fma d d (* c c)))

simplify2.0s

Counts

28 → 74

Calls

28 calls:

Slowest

345.0ms	(exp (* -1/3 (+ (log (/ -1 c)) (log (/ -1 a)))))
288.0ms	(exp (* -1/3 (+ (log (/ -1 c)) (log (/ -1 a)))))
283.0ms	(exp (* -1/3 (+ (log (/ 1 a)) (log (/ 1 c)))))
268.0ms	(+ (* 1/3 (* a (* (exp (* -1/3 (+ (* 2 (log b)) (* 2 (log d))))) c))) (exp (* 1/3 (+ (log b) (log d)))))
266.0ms	(+ (* 1/3 (* a (* (exp (* -1/3 (+ (* 2 (log b)) (* 2 (log d))))) c))) (exp (* 1/3 (+ (log b) (log d)))))

prune1.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 20.5b

regimes338.0ms

Accuracy

0% (2.6b remaining)

Error of 25.2b against oracle of 22.6b and baseline of 25.2b

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

8463×

body

valid