Details

Time bar (total: 18.8s)

sample56.0ms

Algorithm
intervals
Results
40.0ms271×body80valid

simplify100.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize33.0ms

Local error

Found 2 expressions with local error:

25.4b
(/ (- (* b c) (* a d)) (fma d d (* c c)))
0.9b
(- (* b c) (* a d))

rewrite38.0ms

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

series198.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
125.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))
72.0ms
(- (* b c) (* a d))

simplify963.0ms

Counts
56 → 56

prune740.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 24.9b

localize45.0ms

Local error

Found 4 expressions with local error:

27.7b
(sqrt (fma d d (* c c)))
27.7b
(sqrt (fma d d (* c c)))
15.9b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
0.9b
(- (* b c) (* a d))

rewrite32.0ms

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
18.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
9.0ms
(- (* b c) (* a d))
1.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
181.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
85.0ms
(sqrt (fma d d (* c c)))
76.0ms
(sqrt (fma d d (* c c)))
57.0ms
(- (* b c) (* a d))

simplify876.0ms

Counts
108 → 108

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.7b

localize61.0ms

Local error

Found 4 expressions with local error:

27.7b
(sqrt (fma d d (* c c)))
27.7b
(sqrt (fma d d (* c c)))
27.7b
(sqrt (fma d d (* c c)))
12.1b
(/ (* b c) (sqrt (fma d d (* c c))))

rewrite27.0ms

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
19.0ms
(/ (* b c) (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)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
73.0ms
(sqrt (fma d d (* c c)))
72.0ms
(/ (* b c) (sqrt (fma d d (* c c))))
69.0ms
(sqrt (fma d d (* c c)))
62.0ms
(sqrt (fma d d (* c c)))

simplify5.5s

Counts
93 → 93

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.2b

localize31.0ms

Local error

Found 4 expressions with local error:

27.7b
(sqrt (fma d d (* c c)))
27.7b
(sqrt (fma d d (* c c)))
27.7b
(sqrt (fma d d (* c c)))
9.2b
(/ (* a d) (sqrt (fma d d (* c c))))

rewrite14.0ms

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
9.0ms
(/ (* a d) (sqrt (fma d d (* c c))))
1.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
81.0ms
(/ (* a d) (sqrt (fma d d (* c c))))
59.0ms
(sqrt (fma d d (* c c)))
58.0ms
(sqrt (fma d d (* c c)))
55.0ms
(sqrt (fma d d (* c c)))

simplify3.5s

Counts
93 → 93

prune928.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 20.6b

regimes370.0ms

Accuracy

0% (0.4b remaining)

Error of 22.8b against oracle of 22.4b and baseline of 22.8b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8487×body80valid