Details

Time bar (total: 14.3s)

sample64.0ms

Algorithm
intervals
Results
47.0ms272×body80valid

simplify59.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize37.0ms

Local error

Found 2 expressions with local error:

1.1b
(- (* b c) (* a d))
23.7b
(/ (- (* b c) (* a d)) (fma d d (* c c)))

rewrite34.0ms

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:
15.0ms
(- (* b c) (* a d))
17.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

series189.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- (* b c) (* a d))
130.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify800.0ms

Counts
56 → 56
Iterations
IterNodes
32471
2717
1219
088

prune378.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.3b

localize47.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (* b c) (* a d))
13.7b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
28.2b
(sqrt (fma d d (* c c)))
28.2b
(sqrt (fma d d (* c c)))

rewrite49.0ms

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:
9.0ms
(- (* b c) (* a d))
34.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
2.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (* b c) (* a d))
171.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
70.0ms
(sqrt (fma d d (* c c)))
76.0ms
(sqrt (fma d d (* c c)))

simplify819.0ms

Counts
108 → 108
Iterations
IterNodes
32063
2741
1265
0115

prune746.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 21.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(fma b c (- (* a d)))
13.7b
(/ (fma b c (- (* a d))) (sqrt (fma d d (* c c))))
28.2b
(sqrt (fma d d (* c c)))
28.2b
(sqrt (fma d d (* c c)))

rewrite14.0ms

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 b c (- (* a d)))
9.0ms
(/ (fma b c (- (* a d))) (sqrt (fma d d (* c c))))
2.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(fma b c (- (* a d)))
168.0ms
(/ (fma b c (- (* a d))) (sqrt (fma d d (* c c))))
56.0ms
(sqrt (fma d d (* c c)))
66.0ms
(sqrt (fma d d (* c c)))

simplify6.1s

Counts
99 → 99
Iterations
IterNodes
44262
31029
2333
1151
093

prune642.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 21.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(fma b c (- (* a d)))
13.8b
(* (fma b c (- (* a d))) (/ 1 (sqrt (fma d d (* c c)))))
28.2b
(sqrt (fma d d (* c c)))
28.2b
(sqrt (fma d d (* c c)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
22×*-un-lft-identity times-frac associate-*r*
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
5×unswap-sqr
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* fma-udef
2×rem-sqrt-square sqrt-pow1 pow1/2 div-exp cbrt-unprod hypot-def
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma b c (- (* a d)))
25.0ms
(* (fma b c (- (* a d))) (/ 1 (sqrt (fma d d (* c c)))))
2.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(fma b c (- (* a d)))
151.0ms
(* (fma b c (- (* a d))) (/ 1 (sqrt (fma d d (* c c)))))
68.0ms
(sqrt (fma d d (* c c)))
79.0ms
(sqrt (fma d d (* c c)))

simplify1.2s

Counts
107 → 107
Iterations
IterNodes
32032
2671
1257
0116

prune468.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.5b

regimes297.0ms

Accuracy

0% (2.6b remaining)

Error of 25.4b against oracle of 22.8b and baseline of 25.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
322
222
120
014

end0.0ms

sample1.2s

Algorithm
intervals
Results
902.0ms8454×body80valid