Details

Time bar (total: 20.8s)

sample68.0ms

Algorithm
intervals
Results
26.0ms280×body80valid

simplify1.3s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
0.0b
(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)
28.1b
(/ (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))

rewrite6.0ms

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 (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
0.0ms
(fma (fma 3.13060547623 z 11.1667541262) z t)
0.0ms
(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)
4.0ms
(/ (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))

series1.6s

Counts
4 → 12
Calls
4 calls:
137.0ms
(fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
36.0ms
(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)
359.0ms
(/ (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))

simplify3.5s

Counts
71 → 71
Iterations
IterNodes
done5000
33047
2726
1247
0131

prune876.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 3.13060547623 (/ (/ t z) z))
0.1b
(/ (/ t z) z)
3.1b
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
48×*-un-lft-identity
46×add-sqr-sqrt add-cube-cbrt
13×associate-/l*
8×add-cbrt-cube add-exp-log
5×div-inv add-log-exp
3×expm1-log1p-u pow1 cbrt-undiv associate-/r* fma-def div-exp log1p-expm1-u
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ fma-udef distribute-lft-out associate-/l/
Counts
3 → 99
Calls
3 calls:
25.0ms
(+ 3.13060547623 (/ (/ t z) z))
9.0ms
(/ (/ t z) z)
0.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

series149.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ 3.13060547623 (/ (/ t z) z))
29.0ms
(/ (/ t z) z)
79.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

simplify969.0ms

Counts
108 → 108
Iterations
IterNodes
done5001
21850
1434
0184

prune751.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

3.1b
(fma y (+ 3.13060547623 (* (* (cbrt (/ t z)) (cbrt (/ t z))) (/ (cbrt (/ t z)) z))) x)
13.4b
(cbrt (/ t z))
13.4b
(cbrt (/ t z))
13.4b
(cbrt (/ t z))

rewrite16.0ms

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 (+ 3.13060547623 (* (* (cbrt (/ t z)) (cbrt (/ t z))) (/ (cbrt (/ t z)) z))) x)
4.0ms
(cbrt (/ t z))
4.0ms
(cbrt (/ t z))
4.0ms
(cbrt (/ t z))

series374.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(fma y (+ 3.13060547623 (* (* (cbrt (/ t z)) (cbrt (/ t z))) (/ (cbrt (/ t z)) z))) x)
119.0ms
(cbrt (/ t z))
100.0ms
(cbrt (/ t z))
85.0ms
(cbrt (/ t z))

simplify1.9s

Counts
94 → 94
Iterations
IterNodes
done5000
44905
31073
2351
1162
0102

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

3.1b
(fma (+ 3.13060547623 (/ (/ t z) z)) y x)
12.3b
(cbrt (fma (+ 3.13060547623 (/ (/ t z) z)) y x))
12.3b
(cbrt (fma (+ 3.13060547623 (/ (/ t z) z)) y x))
12.3b
(cbrt (fma (+ 3.13060547623 (/ (/ t z) z)) y x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×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×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(fma (+ 3.13060547623 (/ (/ t z) z)) y x)
1.0ms
(cbrt (fma (+ 3.13060547623 (/ (/ t z) z)) y x))
1.0ms
(cbrt (fma (+ 3.13060547623 (/ (/ t z) z)) y x))
1.0ms
(cbrt (fma (+ 3.13060547623 (/ (/ t z) z)) y x))

series1.7s

Counts
4 → 12
Calls
4 calls:
80.0ms
(fma (+ 3.13060547623 (/ (/ t z) z)) y x)
525.0ms
(cbrt (fma (+ 3.13060547623 (/ (/ t z) z)) y x))
542.0ms
(cbrt (fma (+ 3.13060547623 (/ (/ t z) z)) y x))
585.0ms
(cbrt (fma (+ 3.13060547623 (/ (/ t z) z)) y x))

simplify955.0ms

Counts
61 → 61
Iterations
IterNodes
done5002
31636
2351
1139
070

prune505.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.5b

regimes1.8s

Accuracy

97.3% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 27.1b

bsearch371.0ms

Steps
ItersRangePoint
9
1138758382465949.5
3.186873369607365e+22
3.141354744539287e+22
7
-1.660241419886498e+53
-1.206049990062954e+51
-9.175365494069609e+51

simplify31.0ms

Iterations
IterNodes
done41
141
035

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.0s8875×body80valid