Details

sample39.0ms

Algorithm

intervals

Results

24.0ms

267×

body

valid

simplify14.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

14.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize18.0ms

Local error

Found 2 expressions with local error:

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

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` `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

31.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
8.0ms	(+ (* a c) (* b d))

series150.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

105.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
45.0ms	(+ (* a c) (* b d))

simplify1.7s

Counts

36 → 50

Calls

36 calls:

Slowest

376.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
292.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
264.0ms	(/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
194.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))
152.0ms	(* (exp (* a c)) (exp (* b d)))

prune527.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 22.3b

localize39.0ms

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))

rewrite63.0ms

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

38.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
11.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))
6.0ms	(sqrt (+ (* c c) (* d d)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
53.0ms	(sqrt (+ (* c c) (* d d)))
52.0ms	(sqrt (+ (* c c) (* d d)))
50.0ms	(+ (* a c) (* b d))

simplify3.4s

Counts

77 → 100

Calls

77 calls:

Slowest

383.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
371.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
331.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
306.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
235.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 18.8b

localize26.0ms

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))

rewrite52.0ms

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

32.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
7.0ms	(+ (* a c) (* b d))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
61.0ms	(+ (* a c) (* b d))
55.0ms	(sqrt (+ (* c c) (* d d)))
40.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.5s

Counts

77 → 100

Calls

77 calls:

Slowest

430.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
306.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
301.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
286.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
241.0ms	(/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 18.8b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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

52.0ms	(/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
8.0ms	(+ (* b d) (* a c))

series159.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

110.0ms	(/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
49.0ms	(+ (* b d) (* a c))

simplify1.9s

Counts

36 → 50

Calls

36 calls:

Slowest

381.0ms	(- (* (* b d) (* b d)) (* (* a c) (* a c)))
306.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
292.0ms	(/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
205.0ms	(+ (pow (* b d) 3) (pow (* a c) 3))
153.0ms	(* (exp (* b d)) (exp (* a c)))

prune543.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 18.8b

regimes425.0ms

Accuracy

23.5% (2.2b remaining)

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

bsearch14.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

8464×

body

valid