Details

Time bar (total: 43.0s)

sample63.0ms

Algorithm
intervals
Results
44.0ms270×body80valid

simplify109.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
109.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.2b

localize17.0ms

Local error

Found 2 expressions with local error:

23.2b
(/ (- (* b c) (* a d)) (fma d d (* c c)))
0.5b
(- (* b c) (* a d))

rewrite48.0ms

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* associate-/l*
2×expm1-log1p-u pow1 flip3-- insert-posit16 log1p-expm1-u 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
2 → 50
Calls
2 calls:
Slowest
31.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))
16.0ms
(- (* b c) (* a d))

series189.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
133.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))
56.0ms
(- (* b c) (* a d))

simplify6.5s

Counts
70 → 56
Calls
70 calls:
Slowest
554.0ms
(/ (* (* (- (* 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))))
513.0ms
(* (* (/ (- (* b c) (* a d)) (fma d d (* c c))) (/ (- (* b c) (* a d)) (fma d d (* c c)))) (/ (- (* b c) (* a d)) (fma d d (* c c))))
449.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
408.0ms
(+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))
240.0ms
(* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d)))

prune660.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.8b

localize23.0ms

Local error

Found 4 expressions with local error:

24.7b
(sqrt (fma d d (* c c)))
24.7b
(sqrt (fma d d (* c c)))
16.2b
(/ (- (* 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
25.0ms
(/ (- (* 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)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
187.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
79.0ms
(- (* b c) (* a d))
74.0ms
(sqrt (fma d d (* c c)))
63.0ms
(sqrt (fma d d (* c c)))

simplify8.5s

Counts
131 → 108
Calls
131 calls:
Slowest
566.0ms
(exp (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))))
471.0ms
(* (* (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))) (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))))
460.0ms
(/ (* (* (- (* 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)))))
444.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
371.0ms
(+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 20.6b

localize61.0ms

Local error

Found 4 expressions with local error:

24.7b
(sqrt (fma d d (* c c)))
24.7b
(sqrt (fma d d (* c c)))
16.2b
(/ (sqrt (fma d d (* c c))) (- (* b c) (* a d)))
0.5b
(- (* b c) (* a d))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×pow1 add-cbrt-cube add-exp-log associate-/l* add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-/r/ fma-udef hypot-def flip--
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-exp prod-diff div-inv
Counts
4 → 95
Calls
4 calls:
Slowest
15.0ms
(/ (sqrt (fma d d (* c c))) (- (* b c) (* a d)))
8.0ms
(- (* b c) (* a d))
3.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
127.0ms
(/ (sqrt (fma d d (* c c))) (- (* b c) (* a d)))
59.0ms
(sqrt (fma d d (* c c)))
50.0ms
(sqrt (fma d d (* c c)))
49.0ms
(- (* b c) (* a d))

simplify6.5s

Counts
129 → 107
Calls
129 calls:
Slowest
418.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
365.0ms
(/ (* (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c)))) (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))))
306.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
305.0ms
(+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))
261.0ms
(/ (sqrt (fma d d (* c c))) (- (* (* b c) (* b c)) (* (* a d) (* a d))))

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 20.6b

localize48.0ms

Local error

Found 3 expressions with local error:

23.1b
(* (- (* b c) (* a d)) (/ 1 (fma d d (* c c))))
0.5b
(/ 1 (fma d d (* c c)))
0.5b
(- (* b c) (* a d))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
13×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp
3×expm1-log1p-u associate-/r* flip3-- associate-*l* insert-posit16 log1p-expm1-u flip-- associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 94
Calls
3 calls:
Slowest
32.0ms
(* (- (* b c) (* a d)) (/ 1 (fma d d (* c c))))
9.0ms
(- (* b c) (* a d))
4.0ms
(/ 1 (fma d d (* c c)))

series265.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
117.0ms
(* (- (* b c) (* a d)) (/ 1 (fma d d (* c c))))
75.0ms
(/ 1 (fma d d (* c c)))
72.0ms
(- (* b c) (* a d))

simplify13.0s

Counts
118 → 103
Calls
118 calls:
Slowest
794.0ms
(* (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (/ 1 (fma d d (* c c))) (/ 1 (fma d d (* c c)))) (/ 1 (fma d d (* c c)))))
445.0ms
(* (- (* (* b c) (* b c)) (* (* a d) (* a d))) 1)
435.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
394.0ms
(* (- (* b c) (* a d)) (/ 1 (* (cbrt (fma d d (* c c))) (cbrt (fma d d (* c c))))))
392.0ms
(* (- (* (* b c) (* b c)) (* (* a d) (* a d))) (/ 1 (fma d d (* c c))))

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 20.6b

regimes286.0ms

Accuracy

0% (2.8b remaining)

Error of 25.5b against oracle of 22.8b and baseline of 25.5b

bsearch3.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s8522×body80valid