Details

Time bar (total: 12.2s)

sample31.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify821.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
51678
4360
3148
262
126
013

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.4b
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
0.5b
(fma (- y) t (* (* z 2.0) z))
14.2b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 associate-/r* times-frac log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp fma-udef
1×clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
3 → 43
Calls
3 calls:
0.0ms
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
0.0ms
(fma (- y) t (* (* z 2.0) z))
8.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

series213.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
62.0ms
(fma (- y) t (* (* z 2.0) z))
57.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

simplify1.0s

Counts
52 → 52
Iterations
IterNodes
done5001
2848
1167
076

prune435.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.5b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x))
14.2b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
14.2b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
14.2b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×associate-/r* times-frac
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cbrt-prod clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
1×pow1/3
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt (fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x))
13.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
13.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
13.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x))
76.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
75.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
84.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

simplify1.0s

Counts
94 → 94
Iterations
IterNodes
done5000
2772
1177
083

prune901.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.5b

localize132.0ms

Local error

Found 4 expressions with local error:

14.2b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
14.2b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
14.2b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
14.2b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
24×add-cbrt-cube add-exp-log
12×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
8×cbrt-undiv div-exp
4×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
4 → 92
Calls
4 calls:
8.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
8.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
7.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
10.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
97.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
66.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))
94.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

simplify1.2s

Counts
104 → 104
Iterations
IterNodes
done5000
2686
1129
055

prune1.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* (* z 2.0) z) (* y t))
17.5b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×cbrt-undiv associate-/r* times-frac div-exp prod-exp cbrt-unprod
2×expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip--
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
19.0ms
(- (* (* z 2.0) z) (* y t))
43.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series302.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- (* (* z 2.0) z) (* y t))
243.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify1.5s

Counts
49 → 49
Iterations
IterNodes
done5000
21757
1286
098

prune355.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

regimes385.0ms

Accuracy

-40% (2.5b remaining)

Error of 7.1b against oracle of 4.6b and baseline of 6.4b

bsearch140.0ms

Steps
ItersRangePoint
8
3.3206256370590916e-215
1.0658762337733753e-212
1.4883592696550587e-214
8
-3.0528276270624827e-51
-7.06587725772953e-54
-7.155484423493136e-54

simplify4.0ms

Iterations
IterNodes
done28
128
020

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s8000×body80valid