Details

Time bar (total: 25.5s)

sample139.0ms

Algorithm
intervals
Results
73.0ms282×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
03037
16230
213230
338629
4130129
done500029

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.7b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
0.1b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
2.4b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
28.4b
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 59
Calls
4 calls:
1.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
1.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
10.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.8s

Counts
4 → 12
Calls
4 calls:
59.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
78.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
212.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.5s
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify3.4s

Counts
71 → 71
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01441442
12771423
28331273
339061261
done50001252

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 3.13060547623 (/ t (pow z 2)))
2.4b
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
7.0b
(/ t (pow z 2))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
23×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
12×unpow-prod-down
8×add-exp-log associate-/r*
5×add-cbrt-cube add-log-exp
4×unpow2 sqr-pow
3×pow1 expm1-log1p-u fma-def div-exp log1p-expm1-u associate-/l*
1×cbrt-undiv +-commutative pow-to-exp frac-2neg flip3-+ pow-exp clear-num sum-log flip-+ fma-udef div-inv distribute-lft-out
Counts
3 → 78
Calls
3 calls:
39.0ms
(+ 3.13060547623 (/ t (pow z 2)))
1.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
14.0ms
(/ t (pow z 2))

series199.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ 3.13060547623 (/ t (pow z 2)))
99.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
41.0ms
(/ t (pow z 2))

simplify953.0ms

Counts
87 → 87
Iterations

Useful iterations: done (948.0ms)

IterNodesCost
0133915
1268848
21021742
done5000738

prune764.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.4b
(fma y (+ 3.13060547623 (* (/ (cbrt t) (/ (fabs z) (cbrt t))) (/ (cbrt t) (fabs z)))) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
2.0ms
(cbrt t)
1.0ms
(fma y (+ 3.13060547623 (* (/ (cbrt t) (/ (fabs z) (cbrt t))) (/ (cbrt t) (fabs z)))) x)

series1.4s

Counts
4 → 12
Calls
4 calls:
406.0ms
(cbrt t)
400.0ms
(cbrt t)
383.0ms
(cbrt t)
192.0ms
(fma y (+ 3.13060547623 (* (/ (cbrt t) (/ (fabs z) (cbrt t))) (/ (cbrt t) (fabs z)))) x)

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: done (1.2s)

IterNodesCost
054513
1102498
2296431
31277353
done5001350

prune731.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 3.13060547623)
1.0b
(cbrt 3.13060547623)
2.4b
(fma y (fma (* (cbrt 3.13060547623) (cbrt 3.13060547623)) (cbrt 3.13060547623) (/ t (pow z 2))) x)
7.0b
(/ t (pow z 2))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
23×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
9×add-exp-log
8×associate-/r*
6×cbrt-prod add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u unpow2 add-log-exp sqr-pow
3×div-exp associate-/l*
2×pow1/3
1×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num fma-udef div-inv
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt 3.13060547623)
2.0ms
(cbrt 3.13060547623)
1.0ms
(fma y (fma (* (cbrt 3.13060547623) (cbrt 3.13060547623)) (cbrt 3.13060547623) (/ t (pow z 2))) x)
15.0ms
(/ t (pow z 2))

series298.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 3.13060547623)
0.0ms
(cbrt 3.13060547623)
237.0ms
(fma y (fma (* (cbrt 3.13060547623) (cbrt 3.13060547623)) (cbrt 3.13060547623) (/ t (pow z 2))) x)
61.0ms
(/ t (pow z 2))

simplify4.0s

Counts
95 → 95
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0125914
1212863
2763716
34905669
done5000669

prune863.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

regimes2.4s

Accuracy

95.7% (1.1b remaining)

Error of 1.5b against oracle of 0.4b and baseline of 26.9b

bsearch736.0ms

Steps
ItersRangePoint
11
453261925.93168354
1.8402791025840553e+35
5.033390768269673e+19
10
-1.1186547819190151e+38
-2.0000046046006454e+25
-7.333055248087452e+34

simplify14.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
04483
16665
done6665

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.6s8874×body80valid