Details

Time bar (total: 17.3s)

sample49.0ms

Algorithm
intervals
Results
36.0ms269×body80valid

simplify90.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
90.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.9b

localize30.0ms

Local error

Found 3 expressions with local error:

23.9b
(/ (- (* b c) (* a d)) (fma d d (* c c)))
0.5b
(- (* b c) (* a d))
0.0b
(fma d d (* c c))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff fma-udef div-inv
Counts
3 → 61
Calls
3 calls:
Slowest
32.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))
22.0ms
(- (* b c) (* a d))
0.0ms
(fma d d (* c c))

series236.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
131.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))
63.0ms
(- (* b c) (* a d))
42.0ms
(fma d d (* c c))

simplify2.7s

Counts
40 → 70
Calls
40 calls:
Slowest
531.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (fma d d (* c c)) (fma d d (* c c))) (fma d d (* c c))))
328.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
287.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
193.0ms
(/ (exp (* b c)) (exp (* a d)))
143.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

prune770.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.4b

localize31.0ms

Local error

Found 4 expressions with local error:

28.1b
(sqrt (fma d d (* c c)))
28.1b
(sqrt (fma d d (* c c)))
16.6b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
0.5b
(- (* b c) (* a d))

rewrite46.0ms

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 add-exp-log add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 fma-udef hypot-def flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
4 → 96
Calls
4 calls:
Slowest
26.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
16.0ms
(- (* b c) (* a d))
1.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
145.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
76.0ms
(sqrt (fma d d (* c c)))
63.0ms
(sqrt (fma d d (* c c)))
56.0ms
(- (* b c) (* a d))

simplify3.1s

Counts
74 → 108
Calls
74 calls:
Slowest
422.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c)))))
360.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
183.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
137.0ms
(/ (exp (* b c)) (exp (* a d)))
111.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (fma d d (* c c)))))

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 20.3b

localize23.0ms

Local error

Found 4 expressions with local error:

28.1b
(sqrt (fma d d (* c c)))
28.1b
(sqrt (fma d d (* c c)))
16.6b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
0.5b
(- (* b c) (* a d))

rewrite65.0ms

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 add-exp-log add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 fma-udef hypot-def flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
4 → 96
Calls
4 calls:
Slowest
33.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
16.0ms
(- (* b c) (* a d))
12.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
62.0ms
(sqrt (fma d d (* c c)))
59.0ms
(- (* b c) (* a d))
54.0ms
(sqrt (fma d d (* c c)))

simplify3.0s

Counts
74 → 108
Calls
74 calls:
Slowest
345.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c)))))
329.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
255.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
145.0ms
(/ (exp (* b c)) (exp (* a d)))
99.0ms
(/ (- (* b c) (* a d)) (sqrt (cbrt (fma d d (* c c)))))

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 20.3b

localize33.0ms

Local error

Found 4 expressions with local error:

28.1b
(sqrt (fma d d (* c c)))
28.1b
(sqrt (fma d d (* c c)))
28.1b
(sqrt (fma d d (* c c)))
10.6b
(/ (* a d) (sqrt (fma d d (* c c))))

rewrite28.0ms

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
7×pow1
6×associate-/r* times-frac
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef hypot-def
2×cbrt-undiv div-exp
1×clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
4 → 81
Calls
4 calls:
Slowest
20.0ms
(/ (* a d) (sqrt (fma d d (* c c))))
3.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
66.0ms
(/ (* a d) (sqrt (fma d d (* c c))))
58.0ms
(sqrt (fma d d (* c c)))
54.0ms
(sqrt (fma d d (* c c)))
49.0ms
(sqrt (fma d d (* c c)))

simplify910.0ms

Counts
49 → 93
Calls
49 calls:
Slowest
182.0ms
(/ (* (* (* a d) (* a d)) (* a d)) (* (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c)))))
142.0ms
(/ (* (* (* a a) a) (* (* d d) d)) (* (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c)))))
80.0ms
(- (+ (log a) (log d)) (log (sqrt (fma d d (* c c)))))
48.0ms
(- (log (* a d)) (log (sqrt (fma d d (* c c)))))
27.0ms
(sqrt (* (cbrt (fma d d (* c c))) (cbrt (fma d d (* c c)))))

prune957.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.3b

regimes244.0ms

Accuracy

0% (1.9b remaining)

Error of 23.9b against oracle of 22.1b and baseline of 23.9b

bsearch4.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
992.0ms8470×body80valid