Details

sample40.0ms

Algorithm

intervals

Results

26.0ms

276×

body

valid

simplify151.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

151.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize23.0ms

Local error

Found 2 expressions with local error:

26.5b	(/ (- (* b c) (* a d)) (fma d d (* c c)))
0.7b	(- (* b c) (* a d))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

Slowest

32.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))
8.0ms	(- (* b c) (* a d))

series182.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

130.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))
51.0ms	(- (* b c) (* a d))

simplify2.7s

Counts

37 → 56

Calls

37 calls:

Slowest

524.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (fma d d (* c c)) (fma d d (* c c))) (fma d d (* c c))))
389.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
252.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
184.0ms	(/ (exp (* b c)) (exp (* a d)))
151.0ms	(/ (- (* b c) (* a d)) (cbrt (fma d d (* c c))))

prune613.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 26.2b

localize26.0ms

Local error

Found 4 expressions with local error:

28.9b	(sqrt (fma d d (* c c)))
28.9b	(sqrt (fma d d (* c c)))
16.6b	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
0.7b	(- (* b c) (* a d))

rewrite37.0ms

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` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `fma-udef` `hypot-def` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

4 → 96

Calls

4 calls:

Slowest

23.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
8.0ms	(- (* b c) (* a d))
2.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
78.0ms	(sqrt (fma d d (* c c)))
56.0ms	(sqrt (fma d d (* c c)))
54.0ms	(- (* b c) (* a d))

simplify3.8s

Counts

74 → 108

Calls

74 calls:

Slowest

496.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c)))))
421.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
303.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
172.0ms	(/ (exp (* b c)) (exp (* a d)))
129.0ms	(/ (- (* b c) (* a d)) (sqrt (cbrt (fma d d (* c c)))))

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 23.5b

localize42.0ms

Local error

Found 4 expressions with local error:

28.9b	(sqrt (fma d d (* c c)))
28.9b	(sqrt (fma d d (* c c)))
16.6b	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
0.7b	(- (* b c) (* a d))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
22×	`-un-lft-identity` `times-frac` `associate-r*`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `associate-l` `flip--`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `cbrt-unprod` `fma-udef` `hypot-def`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `fma-neg` `diff-log` `1-exp` `prod-diff` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 105

Calls

4 calls:

Slowest

43.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
8.0ms	(- (* b c) (* a d))
3.0ms	(sqrt (fma d d (* c c)))
3.0ms	(sqrt (fma d d (* c c)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
58.0ms	(sqrt (fma d d (* c c)))
56.0ms	(sqrt (fma d d (* c c)))
47.0ms	(- (* b c) (* a d))

simplify5.7s

Counts

74 → 117

Calls

74 calls:

Slowest

925.0ms	(* (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (/ 1 (sqrt (fma d d (* c c)))) (/ 1 (sqrt (fma d d (* c c))))) (/ 1 (sqrt (fma d d (* c c))))))
612.0ms	(/ (exp (* b c)) (exp (* a d)))
463.0ms	(* (- (* (* b c) (* b c)) (* (* a d) (* a d))) 1)
360.0ms	(* (- (* (* b c) (* b c)) (* (* a d) (* a d))) (/ 1 (sqrt (fma d d (* c c)))))
337.0ms	(* (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d)))) (sqrt (fma d d (* c c))))

prune1.5s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 23.5b

localize31.0ms

Local error

Found 3 expressions with local error:

26.2b	(/ (fma d d (* c c)) (- (* b c) (* a d)))
0.7b	(- (* b c) (* a d))
0.5b	(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-flip` `inv-pow`

Counts

3 → 136

Calls

3 calls:

Slowest

31.0ms	(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
12.0ms	(- (* b c) (* a d))
12.0ms	(/ (fma d d (* c c)) (- (* b c) (* a d)))

series330.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

168.0ms	(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
108.0ms	(/ (fma d d (* c c)) (- (* b c) (* a d)))
54.0ms	(- (* b c) (* a d))

simplify16.0s

Counts

154 → 145

Calls

154 calls:

Slowest

504.0ms	(/ (* (* (fma d d (* c c)) (fma d d (* c c))) (fma d d (* c c))) (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))))
420.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (fma d d (* c c)) (- (* (* b c) (* b c)) (* (* a d) (* a d)))))
402.0ms	(/ (sqrt 1) (/ (cbrt (fma d d (* c c))) (- (* b c) (* a d))))
394.0ms	(/ (cbrt 1) (/ (fma d d (* c c)) (- (* b c) (* a d))))
387.0ms	(/ (* (* 1 1) 1) (* (* (/ (fma d d (* c c)) (- (* b c) (* a d))) (/ (fma d d (* c c)) (- (* b c) (* a d)))) (/ (fma d d (* c c)) (- (* b c) (* a d)))))

prune1.5s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 14.2b

regimes266.0ms

Accuracy

0% (2.5b remaining)

Error of 16.9b against oracle of 14.4b and baseline of 16.9b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

8491×

body

valid