Details

Time bar (total: 9.5s)

sample39.0ms

Algorithm
intervals
Results
27.0ms273×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done21
221
117
011

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma d d (* c c))
0.3b
(fma a c (* b d))
24.4b
(/ (fma a c (* b d)) (fma d d (* c c)))

rewrite5.0ms

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
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 52
Calls
3 calls:
0.0ms
(fma d d (* c c))
0.0ms
(fma a c (* b d))
4.0ms
(/ (fma a c (* b d)) (fma d d (* c c)))

series243.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma d d (* c c))
62.0ms
(fma a c (* b d))
134.0ms
(/ (fma a c (* b d)) (fma d d (* c c)))

simplify1.1s

Counts
61 → 61
Iterations
IterNodes
done2004
42004
31082
2340
1123
075

prune447.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 24.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma a c (* b d))
13.1b
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
30.3b
(sqrt (fma d d (* c c)))
30.3b
(sqrt (fma d d (* c c)))

rewrite17.0ms

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
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×fma-udef associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 hypot-def
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 87
Calls
4 calls:
0.0ms
(fma a c (* b d))
10.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
2.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(fma a c (* b d))
131.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
75.0ms
(sqrt (fma d d (* c c)))
85.0ms
(sqrt (fma d d (* c c)))

simplify1.1s

Counts
99 → 99
Iterations
IterNodes
done2004
42004
3974
2304
1146
091

prune616.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma d d (* c c))
0.3b
(fma a c (* b d))
0.5b
(/ 1 (fma d d (* c c)))
24.1b
(* (fma a c (* b d)) (/ 1 (fma d d (* c c))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma d d (* c c))
0.0ms
(fma a c (* b d))
14.0ms
(/ 1 (fma d d (* c c)))
20.0ms
(* (fma a c (* b d)) (/ 1 (fma d d (* c c))))

series327.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(fma d d (* c c))
62.0ms
(fma a c (* b d))
61.0ms
(/ 1 (fma d d (* c c)))
150.0ms
(* (fma a c (* b d)) (/ 1 (fma d d (* c c))))

simplify1.2s

Counts
107 → 107
Iterations
IterNodes
done2004
42004
31710
2615
1232
0113

prune481.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.5b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (fma d d (* c c)))) (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))))
13.1b
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
30.3b
(sqrt (fma d d (* c c)))
30.3b
(sqrt (fma d d (* c c)))

rewrite47.0ms

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:
29.0ms
(* (/ 1 (sqrt (fma d d (* c c)))) (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))))
10.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
2.0ms
(sqrt (fma d d (* c c)))
3.0ms
(sqrt (fma d d (* c c)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (/ 1 (sqrt (fma d d (* c c)))) (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))))
148.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
48.0ms
(sqrt (fma d d (* c c)))
53.0ms
(sqrt (fma d d (* c c)))

simplify974.0ms

Counts
174 → 174
Iterations
IterNodes
done2001
32001
21359
1444
0171

prune640.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 10.8b

regimes220.0ms

Accuracy

0% (2.5b remaining)

Error of 16.2b against oracle of 13.7b and baseline of 16.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.0s

Algorithm
intervals
Results
788.0ms8496×body80valid