Details

sample56.0ms

Algorithm

intervals

Results

43.0ms

273×

body

valid

simplify74.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

74.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.8b

localize18.0ms

Local error

Found 3 expressions with local error:

23.8b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.4b	(- (* b c) (* a d))
0.0b	(+ (* c c) (* d d))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 58

Calls

3 calls:

Slowest

20.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
10.0ms	(+ (* c c) (* d d))
7.0ms	(- (* b c) (* a d))

series240.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

115.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
77.0ms	(- (* b c) (* a d))
48.0ms	(+ (* c c) (* d d))

simplify2.6s

Counts

41 → 67

Calls

41 calls:

Slowest

396.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
325.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
297.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
174.0ms	(* (exp (* c c)) (exp (* d d)))
163.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))

prune777.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.3b

localize50.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (+ (* c c) (* d d)))
27.9b	(sqrt (+ (* c c) (* d d)))
15.0b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.4b	(- (* b c) (* a d))

rewrite59.0ms

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` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

Slowest

31.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
14.0ms	(- (* b c) (* a d))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
68.0ms	(sqrt (+ (* c c) (* d d)))
55.0ms	(- (* b c) (* a d))
43.0ms	(sqrt (+ (* c c) (* d d)))

simplify4.9s

Counts

78 → 102

Calls

78 calls:

Slowest

409.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
339.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
327.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
318.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
292.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 21.7b

localize25.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (+ (* c c) (* d d)))
27.9b	(sqrt (+ (* c c) (* d d)))
15.0b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.4b	(- (* b c) (* a d))

rewrite48.0ms

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` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

Slowest

21.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
11.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(- (* b c) (* a d))
6.0ms	(sqrt (+ (* c c) (* d d)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

190.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
60.0ms	(- (* b c) (* a d))
49.0ms	(sqrt (+ (* c c) (* d d)))
41.0ms	(sqrt (+ (* c c) (* d d)))

simplify4.6s

Counts

78 → 102

Calls

78 calls:

Slowest

407.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
336.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
320.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
295.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
284.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 21.7b

localize33.0ms

Local error

Found 3 expressions with local error:

23.8b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.4b	(- (* b c) (* a d))
0.0b	(+ (* c c) (* d d))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 58

Calls

3 calls:

Slowest

32.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
10.0ms	(+ (* c c) (* d d))
9.0ms	(- (* b c) (* a d))

series209.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

115.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
53.0ms	(- (* b c) (* a d))
41.0ms	(+ (* c c) (* d d))

simplify2.3s

Counts

41 → 67

Calls

41 calls:

Slowest

284.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
277.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
264.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
158.0ms	(/ (exp (* b c)) (exp (* a d)))
158.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))

prune605.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 21.7b

regimes459.0ms

Accuracy

0% (2.5b remaining)

Error of 25.4b against oracle of 22.9b and baseline of 25.4b

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

8474×

body

valid