Details

sample39.0ms

Algorithm

intervals

Results

22.0ms

271×

body

valid

simplify2.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ (* a c) (* b d))
25.2b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

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

series174.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* a c) (* b d))
119.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify82.0ms

Counts: 48 → 48

prune227.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 25.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* a c) (* b d))
14.0b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.6b	(sqrt (+ (* c c) (* d d)))
28.6b	(sqrt (+ (* c c) (* d d)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
5×	`flip3-+` `flip-+`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 84

Calls

4 calls:

17.0ms	(+ (* a c) (* b d))
62.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
16.0ms	(sqrt (+ (* c c) (* d d)))
16.0ms	(sqrt (+ (* c c) (* d d)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* a c) (* b d))
141.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
57.0ms	(sqrt (+ (* c c) (* d d)))
55.0ms	(sqrt (+ (* c c) (* d d)))

simplify63.0ms

Counts: 96 → 96

prune322.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 22.5b

localize32.0ms

Local error

Found 4 expressions with local error:

28.6b	(sqrt (+ (* c c) (* d d)))
29.5b	(cbrt (+ (* c c) (* d d)))
29.5b	(cbrt (+ (* c c) (* d d)))
29.5b	(cbrt (+ (* c c) (* d d)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

9.0ms	(sqrt (+ (* c c) (* d d)))
5.0ms	(cbrt (+ (* c c) (* d d)))
5.0ms	(cbrt (+ (* c c) (* d d)))
6.0ms	(cbrt (+ (* c c) (* d d)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt (+ (* c c) (* d d)))
128.0ms	(cbrt (+ (* c c) (* d d)))
112.0ms	(cbrt (+ (* c c) (* d d)))
107.0ms	(cbrt (+ (* c c) (* d d)))

simplify75.0ms

Counts: 66 → 66

prune443.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 22.5b

localize29.0ms

Local error

Found 4 expressions with local error:

14.5b	(cbrt (+ (* a c) (* b d)))
14.5b	(cbrt (+ (* a c) (* b d)))
14.5b	(cbrt (+ (* a c) (* b d)))
14.9b	(/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

6.0ms	(cbrt (+ (* a c) (* b d)))
7.0ms	(cbrt (+ (* a c) (* b d)))
8.0ms	(cbrt (+ (* a c) (* b d)))
77.0ms	(/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))))

series570.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (+ (* a c) (* b d)))
166.0ms	(cbrt (+ (* a c) (* b d)))
124.0ms	(cbrt (+ (* a c) (* b d)))
109.0ms	(/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))))

simplify70.0ms

Counts: 127 → 127

prune525.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 22.5b

regimes233.0ms

Accuracy

-2.1% (3.0b remaining)

Error of 26.2b against oracle of 23.2b and baseline of 26.1b

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

8495×

body

valid