Details

sample50.0ms

Algorithm

intervals

Results

34.0ms

267×

body

valid

simplify18.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

18.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize53.0ms

Local error

Found 2 expressions with local error:

22.7b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.7b	(+ (* a c) (* b d))

rewrite57.0ms

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` `flip3-+` `flip-+` `associate-/l`
2×	`pow1` `associate-/r/` `insert-posit16` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 44

Calls

2 calls:

Slowest

49.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))

series150.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

106.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
44.0ms	(+ (* a c) (* b d))

simplify2.3s

Counts

36 → 50

Calls

36 calls:

Slowest

762.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
360.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
258.0ms	(/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
256.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))
164.0ms	(* (exp (* a c)) (exp (* b d)))

prune637.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 22.3b

localize45.0ms

Local error

Found 4 expressions with local error:

29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))
14.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.7b	(+ (* a c) (* b d))

rewrite62.0ms

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

Counts

4 → 88

Calls

4 calls:

Slowest

35.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
14.0ms	(+ (* a c) (* b d))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

164.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
57.0ms	(+ (* a c) (* b d))
55.0ms	(sqrt (+ (* c c) (* d d)))
54.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.5s

Counts

77 → 100

Calls

77 calls:

Slowest

354.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
315.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
311.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
287.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
257.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 18.8b

localize54.0ms

Local error

Found 4 expressions with local error:

29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))
14.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.7b	(+ (* a c) (* b d))

rewrite77.0ms

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

Counts

4 → 88

Calls

4 calls:

Slowest

45.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
19.0ms	(+ (* a c) (* b d))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

175.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
63.0ms	(+ (* a c) (* b d))
63.0ms	(sqrt (+ (* c c) (* d d)))
56.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.6s

Counts

77 → 100

Calls

77 calls:

Slowest

363.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
358.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
340.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
323.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
245.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 18.8b

localize38.0ms

Local error

Found 2 expressions with local error:

22.7b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.7b	(+ (* a c) (* b d))

rewrite34.0ms

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` `flip3-+` `flip-+` `associate-/l`
2×	`pow1` `associate-/r/` `insert-posit16` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 44

Calls

2 calls:

Slowest

26.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))

series174.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

113.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
60.0ms	(+ (* a c) (* b d))

simplify1.8s

Counts

36 → 50

Calls

36 calls:

Slowest

360.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
353.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
232.0ms	(/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
198.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))
166.0ms	(* (exp (* a c)) (exp (* b d)))

prune521.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 18.8b

regimes419.0ms

Accuracy

23.5% (2.2b remaining)

Error of 25.0b against oracle of 22.8b and baseline of 25.7b

bsearch7.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8464×

body

valid