Details

Time bar (total: 19.1s)

sample83.0ms

Algorithm
intervals
Results
45.0ms281×body80valid

simplify1.9s

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.7b

localize58.0ms

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)
0.1b
(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)
27.8b
(/ (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))

series1.9s

Counts
4 → 12
Calls
4 calls:
167.0ms
(fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
57.0ms
(fma (fma 3.13060547623 z 11.1667541262) z t)
1.3s
(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)
376.0ms
(/ (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))

simplify4.2s

Counts
71 → 71
Iterations
IterNodes
done5000
33047
2726
1247
0131

prune785.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.6b

localize20.0ms

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)

rewrite38.0ms

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:
24.0ms
(+ 3.13060547623 (/ (/ t z) z))
10.0ms
(/ (/ t z) z)
1.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

series154.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ 3.13060547623 (/ (/ t z) z))
36.0ms
(/ (/ t z) z)
73.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

simplify1.1s

Counts
108 → 108
Iterations
IterNodes
done5001
21850
1434
0184

prune802.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.6b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 3.13060547623)
1.0b
(cbrt 3.13060547623)
1.0b
(cbrt 3.13060547623)
3.1b
(fma y (fma (* (cbrt 3.13060547623) (cbrt 3.13060547623)) (cbrt 3.13060547623) (/ (/ t z) z)) x)

rewrite3.0ms

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:
1.0ms
(cbrt 3.13060547623)
1.0ms
(cbrt 3.13060547623)
1.0ms
(cbrt 3.13060547623)
0.0ms
(fma y (fma (* (cbrt 3.13060547623) (cbrt 3.13060547623)) (cbrt 3.13060547623) (/ (/ t z) z)) x)

series158.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 3.13060547623)
0.0ms
(cbrt 3.13060547623)
0.0ms
(cbrt 3.13060547623)
157.0ms
(fma y (fma (* (cbrt 3.13060547623) (cbrt 3.13060547623)) (cbrt 3.13060547623) (/ (/ t z) z)) x)

simplify1.7s

Counts
55 → 55
Iterations
IterNodes
done5000
42060
3403
2132
161
041

prune401.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.6b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 3.13060547623)
1.0b
(cbrt 3.13060547623)
1.0b
(* (cbrt (cbrt 3.13060547623)) (cbrt (cbrt 3.13060547623)))
3.1b
(fma y (fma (* (cbrt 3.13060547623) (* (* (cbrt (cbrt 3.13060547623)) (cbrt (cbrt 3.13060547623))) (cbrt (cbrt 3.13060547623)))) (cbrt 3.13060547623) (/ (/ t z) z)) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
36×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
11×pow1
9×swap-sqr associate-*r* associate-*l* unswap-sqr
8×pow1/3
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt 3.13060547623)
1.0ms
(cbrt 3.13060547623)
22.0ms
(* (cbrt (cbrt 3.13060547623)) (cbrt (cbrt 3.13060547623)))
0.0ms
(fma y (fma (* (cbrt 3.13060547623) (* (* (cbrt (cbrt 3.13060547623)) (cbrt (cbrt 3.13060547623))) (cbrt (cbrt 3.13060547623)))) (cbrt 3.13060547623) (/ (/ t z) z)) x)

series151.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 3.13060547623)
0.0ms
(cbrt 3.13060547623)
0.0ms
(* (cbrt (cbrt 3.13060547623)) (cbrt (cbrt 3.13060547623)))
151.0ms
(fma y (fma (* (cbrt 3.13060547623) (* (* (cbrt (cbrt 3.13060547623)) (cbrt (cbrt 3.13060547623))) (cbrt (cbrt 3.13060547623)))) (cbrt 3.13060547623) (/ (/ t z) z)) x)

simplify975.0ms

Counts
98 → 98
Iterations
IterNodes
done5001
2750
1165
093

prune683.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.6b

regimes1.4s

Accuracy

97.3% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 27.6b

bsearch323.0ms

Steps
ItersRangePoint
9
1.9691513268943299e+31
6.88991788806582e+36
6.604017825197738e+36
7
-1.0848342601225986e+51
-6.154014740570543e+48
-8.012125234246044e+48

simplify10.0ms

Iterations
IterNodes
done42
142
034

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.6s8852×body80valid