Details

Time bar (total: 23.7s)

sample56.0ms

Algorithm
intervals
Results
38.0ms269×body80valid

simplify98.0ms

Counts
1 → 1
Iterations
IterNodes
680
580
476
356
240
121
011

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize36.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* b c) (* a d))
27.9b
(/ (- (* b c) (* a d)) (fma d d (* c c)))

rewrite29.0ms

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:
8.0ms
(- (* b c) (* a d))
20.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

series212.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(- (* b c) (* a d))
140.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify804.0ms

Counts
56 → 56
Iterations
IterNodes
32471
2717
1219
088

prune708.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 27.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
17.3b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
28.7b
(sqrt (fma d d (* c c)))
28.7b
(sqrt (fma d d (* c c)))

rewrite62.0ms

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:
21.0ms
(- (* b c) (* a d))
34.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
3.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (* b c) (* a d))
180.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
66.0ms
(sqrt (fma d d (* c c)))
57.0ms
(sqrt (fma d d (* c c)))

simplify737.0ms

Counts
108 → 108
Iterations
IterNodes
32063
2741
1265
0115

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.5b

localize42.0ms

Local error

Found 4 expressions with local error:

11.9b
(/ (* b c) (sqrt (fma d d (* c c))))
28.7b
(sqrt (fma d d (* c c)))
28.7b
(sqrt (fma d d (* c c)))
28.7b
(sqrt (fma d d (* c c)))

rewrite20.0ms

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:
15.0ms
(/ (* b c) (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)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (* b c) (sqrt (fma d d (* c c))))
63.0ms
(sqrt (fma d d (* c c)))
84.0ms
(sqrt (fma d d (* c c)))
76.0ms
(sqrt (fma d d (* c c)))

simplify3.8s

Counts
93 → 93
Iterations
IterNodes
45223
31311
2405
1147
072

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 23.9b

localize42.0ms

Local error

Found 4 expressions with local error:

10.2b
(/ (* a d) (sqrt (fma d d (* c c))))
28.7b
(sqrt (fma d d (* c c)))
28.7b
(sqrt (fma d d (* c c)))
28.7b
(sqrt (fma d d (* c c)))

rewrite18.0ms

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:
14.0ms
(/ (* 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)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (* a d) (sqrt (fma d d (* c c))))
80.0ms
(sqrt (fma d d (* c c)))
54.0ms
(sqrt (fma d d (* c c)))
79.0ms
(sqrt (fma d d (* c c)))

simplify10.8s

Counts
93 → 93
Iterations
IterNodes
410026
31962
2503
1146
073

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 23.0b

regimes219.0ms

Accuracy

0% (0.4b remaining)

Error of 22.1b against oracle of 21.8b and baseline of 22.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
214
114
013

end0.0ms

sample1.4s

Algorithm
intervals
Results
912.0ms8463×body80valid