Details

Time bar (total: 20.2s)

sample78.0ms

Algorithm
intervals
Results
31.0ms277×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5005
53129
41167
3380
2130
162
030

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.4b

localize81.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
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)
27.6b
(/ (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))

rewrite7.0ms

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 z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
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)
5.0ms
(/ (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:
74.0ms
(fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
44.0ms
(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)
345.0ms
(/ (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))

simplify1.7s

Counts
71 → 71
Iterations
IterNodes
done5002
31980
2632
1252
0132

prune772.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

3.8b
(fma y (+ 3.13060547623 (/ t (* z z))) x)
8.6b
(/ t (* z z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×times-frac associate-/l*
2×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u add-log-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod fma-udef div-inv
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma y (+ 3.13060547623 (/ t (* z z))) x)
7.0ms
(/ t (* z z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(fma y (+ 3.13060547623 (/ t (* z z))) x)
29.0ms
(/ t (* z z))

simplify1.3s

Counts
39 → 39
Iterations
IterNodes
done5000
31702
2418
1139
065

prune344.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ t z) z)
3.8b
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
44×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
7×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv associate-/r* div-exp
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
1×clear-num frac-2neg fma-udef associate-/l/
Counts
2 → 82
Calls
2 calls:
19.0ms
(/ (/ t z) z)
1.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

series92.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (/ t z) z)
67.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

simplify2.9s

Counts
88 → 88
Iterations
IterNodes
done5040
34478
2905
1359
0162

prune616.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

3.8b
(fma y (+ 3.13060547623 (/ (* (cbrt (/ t z)) (cbrt (/ t z))) (/ z (cbrt (/ t z))))) x)
14.5b
(cbrt (/ t z))
14.5b
(cbrt (/ t z))
14.5b
(cbrt (/ t z))

rewrite8.0ms

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))) (/ z (cbrt (/ t z))))) x)
2.0ms
(cbrt (/ t z))
2.0ms
(cbrt (/ t z))
2.0ms
(cbrt (/ t z))

series286.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(fma y (+ 3.13060547623 (/ (* (cbrt (/ t z)) (cbrt (/ t z))) (/ z (cbrt (/ t z))))) x)
65.0ms
(cbrt (/ t z))
75.0ms
(cbrt (/ t z))
85.0ms
(cbrt (/ t z))

simplify1.9s

Counts
94 → 94
Iterations
IterNodes
done5001
43029
3824
2311
1162
0102

prune760.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes1.4s

Accuracy

97.1% (0.8b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 26.6b

bsearch368.0ms

Steps
ItersRangePoint
9
1.0619574867451315e+27
3.808858172108706e+32
5.877344572473257e+29
9
-3.9628163174181575e+30
-3.9554820123738635e+22
-3.240660210645078e+30

simplify7.0ms

Iterations
IterNodes
done44
144
038

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.7s8902×body80valid