Details

Time bar (total: 19.6s)

sample34.0ms

Algorithm
intervals
Results
22.0ms273×body80valid

simplify13.0ms

Counts
1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize22.0ms

Local error

Found 2 expressions with local error:

24.8b
(/ (fma a c (* b d)) (fma d d (* c c)))
0.0b
(fma a c (* b d))

rewrite5.0ms

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
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
Slowest
4.0ms
(/ (fma a c (* b d)) (fma d d (* c c)))
0.0ms
(fma a c (* b d))

series149.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
101.0ms
(/ (fma a c (* b d)) (fma d d (* c c)))
48.0ms
(fma a c (* b d))

simplify1.0s

Counts
47 → 47

prune708.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.4b

localize55.0ms

Local error

Found 4 expressions with local error:

28.6b
(sqrt (fma d d (* c c)))
28.6b
(sqrt (fma d d (* c c)))
15.7b
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
0.1b
(/ (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 fma-udef hypot-def
1×associate-/l/
Counts
4 → 254
Calls
4 calls:
Slowest
9.0ms
(/ (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
5.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
1.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
177.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
99.0ms
(/ (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
68.0ms
(sqrt (fma d d (* c c)))
62.0ms
(sqrt (fma d d (* c c)))

simplify1.5s

Counts
266 → 266

prune4.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 21.7b

localize47.0ms

Local error

Found 4 expressions with local error:

28.6b
(sqrt (fma d d (* c c)))
28.6b
(sqrt (fma d d (* c c)))
15.7b
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
0.3b
(* (/ 1 (sqrt (fma d d (* c c)))) (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×pow1 prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp fma-udef hypot-def
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 162
Calls
4 calls:
Slowest
29.0ms
(* (/ 1 (sqrt (fma d d (* c c)))) (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))))
4.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
2.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
176.0ms
(* (/ 1 (sqrt (fma d d (* c c)))) (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))))
146.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
64.0ms
(sqrt (fma d d (* c c)))
62.0ms
(sqrt (fma d d (* c c)))

simplify2.2s

Counts
174 → 174

prune2.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 13.2b

localize52.0ms

Local error

Found 4 expressions with local error:

15.8b
(* (/ (sqrt 1) (hypot d c)) (fma c a (* d b)))
0.1b
(/ (* (/ (sqrt 1) (hypot d c)) (fma c a (* d b))) (hypot d c))
0.0b
(hypot d c)
0.0b
(hypot d c)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×times-frac
22×associate-*l*
21×*-un-lft-identity
20×add-cube-cbrt
18×add-cbrt-cube add-exp-log
11×sqrt-prod
6×pow1
5×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r* associate-*r*
2×hypot-udef associate-*l/ fma-udef div-inv
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative associate-/l* associate-/l/
Counts
4 → 97
Calls
4 calls:
Slowest
23.0ms
(/ (* (/ (sqrt 1) (hypot d c)) (fma c a (* d b))) (hypot d c))
11.0ms
(* (/ (sqrt 1) (hypot d c)) (fma c a (* d b)))
0.0ms
(hypot d c)
0.0ms
(hypot d c)

series555.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
216.0ms
(* (/ (sqrt 1) (hypot d c)) (fma c a (* d b)))
214.0ms
(/ (* (/ (sqrt 1) (hypot d c)) (fma c a (* d b))) (hypot d c))
68.0ms
(hypot d c)
56.0ms
(hypot d c)

simplify2.6s

Counts
109 → 109

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.0b

regimes353.0ms

Accuracy

32.8% (7.6b remaining)

Error of 12.5b against oracle of 4.9b and baseline of 16.2b

bsearch90.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
784.0ms8498×body80valid