Details

Time bar (total: 8.9s)

sample35.0ms

Algorithm
intervals
Results
25.0ms265×body80valid

simplify74.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize29.0ms

Local error

Found 3 expressions with local error:

25.4b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.5b
(- (* b c) (* a d))
0.0b
(+ (* c c) (* d d))

rewrite49.0ms

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
30.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
10.0ms
(+ (* c c) (* d d))
8.0ms
(- (* b c) (* a d))

series209.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
119.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
62.0ms
(- (* b c) (* a d))
28.0ms
(+ (* c c) (* d d))

simplify317.0ms

Counts
81 → 67

prune597.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.0b

localize28.0ms

Local error

Found 4 expressions with local error:

27.5b
(sqrt (+ (* c c) (* d d)))
27.5b
(sqrt (+ (* c c) (* d d)))
17.1b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.5b
(- (* b c) (* a 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
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))))
12.0ms
(sqrt (+ (* c c) (* d d)))
11.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(- (* b c) (* a d))

series287.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
49.0ms
(sqrt (+ (* c c) (* d d)))
49.0ms
(sqrt (+ (* c c) (* d d)))
46.0ms
(- (* b c) (* a d))

simplify335.0ms

Counts
130 → 102

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.8b

localize59.0ms

Local error

Found 4 expressions with local error:

27.5b
(sqrt (+ (* c c) (* d d)))
27.5b
(sqrt (+ (* c c) (* d d)))
27.5b
(sqrt (+ (* c c) (* d d)))
11.3b
(/ (* b c) (sqrt (+ (* c c) (* d d))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
15×sqrt-prod
14×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×add-cbrt-cube add-exp-log
8×sqrt-div
7×pow1
6×associate-/r* times-frac
4×flip3-+ flip-+ insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-undiv div-exp associate-/r/
1×clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
Slowest
26.0ms
(/ (* b c) (sqrt (+ (* c c) (* d d))))
11.0ms
(sqrt (+ (* c c) (* d d)))
10.0ms
(sqrt (+ (* c c) (* d d)))
10.0ms
(sqrt (+ (* c c) (* d d)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
53.0ms
(/ (* b c) (sqrt (+ (* c c) (* d d))))
51.0ms
(sqrt (+ (* c c) (* d d)))
48.0ms
(sqrt (+ (* c c) (* d d)))
38.0ms
(sqrt (+ (* c c) (* d d)))

simplify587.0ms

Counts
106 → 90

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.8b

localize31.0ms

Local error

Found 4 expressions with local error:

18.3b
(/ (* b c) (+ (* c c) (* d d)))
17.7b
(/ (* a d) (+ (* c c) (* d d)))
0.0b
(- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))
0.0b
(+ (* c c) (* d d))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt *-un-lft-identity
8×associate-/r/ add-cube-cbrt add-log-exp
6×associate-/r* times-frac
5×flip3-+ flip-+
4×pow1 cbrt-undiv div-exp insert-posit16 div-inv
3×distribute-rgt-out--
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×+-commutative sum-log sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
4 → 80
Calls
4 calls:
Slowest
76.0ms
(- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))
31.0ms
(/ (* a d) (+ (* c c) (* d d)))
25.0ms
(/ (* b c) (+ (* c c) (* d d)))
12.0ms
(+ (* c c) (* d d))

series282.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))
60.0ms
(/ (* a d) (+ (* c c) (* d d)))
55.0ms
(/ (* b c) (+ (* c c) (* d d)))
28.0ms
(+ (* c c) (* d d))

simplify509.0ms

Counts
105 → 92

prune779.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.3b

regimes430.0ms

Accuracy

0% (2.1b remaining)

Error of 24.5b against oracle of 22.4b and baseline of 24.5b

bsearch3.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s8453×body80valid