Details

sample38.0ms

Algorithm

intervals

Results

27.0ms

261×

body

valid

simplify95.0ms

Calls

1 calls:

Slowest

94.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize19.0ms

Local error

Found 3 expressions with local error:

30.9b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.2b	(- (* b c) (* a d))
0.0b	(+ (* c c) (* d d))

rewrite15.0ms

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`

Calls

3 calls:

Slowest

9.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
2.0ms	(+ (* c c) (* d d))
2.0ms	(- (* b c) (* a d))

series101.0ms

Calls

3 calls:

Slowest

57.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
31.0ms	(- (* b c) (* a d))
14.0ms	(+ (* c c) (* d d))

simplify2.0s

Calls

41 calls:

Slowest

313.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
289.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
210.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
147.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
94.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))

prune625.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 30.5b

localize11.0ms

Local error

Found 4 expressions with local error:

33.6b	(sqrt (+ (* c c) (* d d)))
33.6b	(sqrt (+ (* c c) (* d d)))
16.4b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.2b	(- (* b c) (* a d))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`pow1` `insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `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`

Calls

4 calls:

Slowest

16.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms	(- (* b c) (* a d))
2.0ms	(sqrt (+ (* c c) (* d d)))
2.0ms	(sqrt (+ (* c c) (* d d)))

series167.0ms

Calls

4 calls:

Slowest

96.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.0ms	(- (* b c) (* a d))
21.0ms	(sqrt (+ (* c c) (* d d)))
20.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.4s

Calls

76 calls:

Slowest

519.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
327.0ms	(/ (* (* (- (* 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)))))
241.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
201.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
187.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune876.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 29.5b

localize11.0ms

Local error

Found 4 expressions with local error:

33.6b	(sqrt (+ (* c c) (* d d)))
33.6b	(sqrt (+ (* c c) (* d d)))
33.6b	(sqrt (+ (* c c) (* d d)))
11.0b	(/ (* a d) (sqrt (+ (* c c) (* d d))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-div`
6×	`associate-/r*` `times-frac` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `pow1/2`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l*`

Calls

4 calls:

Slowest

8.0ms	(/ (* a d) (sqrt (+ (* c c) (* d d))))
2.0ms	(sqrt (+ (* c c) (* d d)))
2.0ms	(sqrt (+ (* c c) (* d d)))
2.0ms	(sqrt (+ (* c c) (* d d)))

series90.0ms

Calls

4 calls:

Slowest

33.0ms	(/ (* a d) (sqrt (+ (* c c) (* d d))))
19.0ms	(sqrt (+ (* c c) (* d d)))
19.0ms	(sqrt (+ (* c c) (* d d)))
18.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.2s

Calls

52 calls:

Slowest

168.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
147.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
147.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
143.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
110.0ms	(/ (* (* (* a d) (* a d)) (* a d)) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))

prune769.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 28.6b

localize17.0ms

Local error

Found 4 expressions with local error:

33.6b	(sqrt (+ (* c c) (* d d)))
33.6b	(sqrt (+ (* c c) (* d d)))
33.6b	(sqrt (+ (* c c) (* d d)))
9.3b	(/ (* b c) (sqrt (+ (* c c) (* d d))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-div`
6×	`associate-/r*` `times-frac` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `pow1/2`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l*`

Calls

4 calls:

Slowest

5.0ms	(/ (* b c) (sqrt (+ (* c c) (* d d))))
2.0ms	(sqrt (+ (* c c) (* d d)))
2.0ms	(sqrt (+ (* c c) (* d d)))
2.0ms	(sqrt (+ (* c c) (* d d)))

series93.0ms

Calls

4 calls:

Slowest

37.0ms	(/ (* b c) (sqrt (+ (* c c) (* d d))))
19.0ms	(sqrt (+ (* c c) (* d d)))
18.0ms	(sqrt (+ (* c c) (* d d)))
18.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.2s

Calls

52 calls:

Slowest

172.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
151.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
148.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
148.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
112.0ms	(/ (* (* (* b c) (* b c)) (* b c)) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))

prune755.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 28.3b

regimes278.0ms

Accuracy

0% (0.3b remaining)

Error of 22.5b against oracle of 22.2b and baseline of 22.5b

bsearch3.0ms

end0.0ms

sample973.0ms

Algorithm

intervals

Results

814.0ms

8449×

body

valid