Details

Time bar (total: 19.4s)

sample99.0ms

Algorithm
intervals
Results
49.0ms273×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
41293
3386
2132
162
030

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
0.1b
(fma (fma 3.13060547623 z 11.1667541262) z t)
0.1b
(fma y (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)
28.0b
(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
0.0ms
(fma (fma 3.13060547623 z 11.1667541262) z t)
1.0ms
(fma y (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)
8.0ms
(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

series1.7s

Counts
4 → 12
Calls
4 calls:
99.0ms
(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
57.0ms
(fma (fma 3.13060547623 z 11.1667541262) z t)
1.1s
(fma y (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)
413.0ms
(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

simplify2.5s

Counts
71 → 71
Iterations
IterNodes
done5001
32773
2712
1254
0136

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ t z) z) 3.13060547623)
0.1b
(/ (/ t z) z)
4.7b
(fma y (+ (/ (/ t z) z) 3.13060547623) x)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
82×*-un-lft-identity
80×add-sqr-sqrt add-cube-cbrt
43×fma-def
13×associate-/l*
9×div-inv
8×add-cbrt-cube add-exp-log
5×add-log-exp
3×expm1-log1p-u pow1 cbrt-undiv associate-/r* div-exp log1p-expm1-u
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ fma-udef distribute-lft-out associate-/l/
Counts
3 → 139
Calls
3 calls:
68.0ms
(+ (/ (/ t z) z) 3.13060547623)
18.0ms
(/ (/ t z) z)
1.0ms
(fma y (+ (/ (/ t z) z) 3.13060547623) x)

series151.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (/ (/ t z) z) 3.13060547623)
41.0ms
(/ (/ t z) z)
73.0ms
(fma y (+ (/ (/ t z) z) 3.13060547623) x)

simplify1.2s

Counts
148 → 148
Iterations
IterNodes
done5001
21850
1434
0184

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

4.7b
(fma y (+ (* (* (cbrt (/ t z)) (cbrt (/ t z))) (/ (cbrt (/ t z)) z)) 3.13060547623) x)
14.9b
(cbrt (/ t z))
14.9b
(cbrt (/ t z))
14.9b
(cbrt (/ t z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 div-inv
1×fma-udef
Counts
4 → 82
Calls
4 calls:
0.0ms
(fma y (+ (* (* (cbrt (/ t z)) (cbrt (/ t z))) (/ (cbrt (/ t z)) z)) 3.13060547623) x)
3.0ms
(cbrt (/ t z))
4.0ms
(cbrt (/ t z))
4.0ms
(cbrt (/ t z))

series274.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(fma y (+ (* (* (cbrt (/ t z)) (cbrt (/ t z))) (/ (cbrt (/ t z)) z)) 3.13060547623) x)
68.0ms
(cbrt (/ t z))
67.0ms
(cbrt (/ t z))
80.0ms
(cbrt (/ t z))

simplify946.0ms

Counts
94 → 94
Iterations
IterNodes
done5000
31079
2348
1163
0102

prune794.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

4.7b
(fma y (fma (* (cbrt (/ (/ t z) z)) (cbrt (/ (/ t z) z))) (cbrt (/ (/ t z) z)) 3.13060547623) x)
30.2b
(cbrt (/ (/ t z) z))
30.2b
(cbrt (/ (/ t z) z))
30.2b
(cbrt (/ (/ t z) z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
198×times-frac
129×cbrt-prod
109×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×div-inv
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×cbrt-div pow1/3
1×fma-udef
Counts
4 → 172
Calls
4 calls:
0.0ms
(fma y (fma (* (cbrt (/ (/ t z) z)) (cbrt (/ (/ t z) z))) (cbrt (/ (/ t z) z)) 3.13060547623) x)
8.0ms
(cbrt (/ (/ t z) z))
10.0ms
(cbrt (/ (/ t z) z))
10.0ms
(cbrt (/ (/ t z) z))

series940.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(fma y (fma (* (cbrt (/ (/ t z) z)) (cbrt (/ (/ t z) z))) (cbrt (/ (/ t z) z)) 3.13060547623) x)
109.0ms
(cbrt (/ (/ t z) z))
128.0ms
(cbrt (/ (/ t z) z))
463.0ms
(cbrt (/ (/ t z) z))

simplify1.1s

Counts
184 → 184
Iterations
IterNodes
done5001
21190
1392
0229

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes1.6s

Accuracy

95.4% (1.2b remaining)

Error of 1.7b against oracle of 0.5b and baseline of 26.7b

bsearch4.0ms

simplify16.0ms

Iterations
IterNodes
done66
166
050

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.9s8871×body80valid