Details

Time bar (total: 4.9s)

sample39.0ms

Algorithm
intervals
Results
18.0ms272×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
06211
113211
237710
3110510
4359910
5500110

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
2.2b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
28.6b
(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)

rewrite6.0ms

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 (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
1.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
3.0ms
(/ 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)

series970.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
30.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
121.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
760.0ms
(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)

simplify107.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0265578
1824514
23565508
35001506

prune406.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

3.3b
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
7.6b
(/ t (pow z 2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
8×associate-/r*
7×add-exp-log
4×add-cbrt-cube unpow2 sqr-pow
3×div-exp associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num fma-udef div-inv
Counts
2 → 61
Calls
2 calls:
1.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
5.0ms
(/ t (pow z 2))

series81.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
23.0ms
(/ t (pow z 2))

simplify113.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0191332
1664290
23660281
35001281

prune187.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ t z) z)
3.3b
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
7×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg clear-num fma-udef associate-/l/
Counts
2 → 82
Calls
2 calls:
6.0ms
(/ (/ t z) z)
1.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

series82.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (/ t z) z)
58.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0349537
11283488
25001480

prune246.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b
(fma y (+ 3.13060547623 (* (/ (* (cbrt (/ t z)) (cbrt (/ t z))) (* (cbrt z) (cbrt z))) (/ (cbrt (/ t z)) (cbrt z)))) x)
14.7b
(cbrt (/ t z))
14.7b
(cbrt (/ t z))
14.7b
(cbrt (/ t z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×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×cbrt-div pow1/3 div-inv
1×fma-udef
Counts
4 → 82
Calls
4 calls:
1.0ms
(fma y (+ 3.13060547623 (* (/ (* (cbrt (/ t z)) (cbrt (/ t z))) (* (cbrt z) (cbrt z))) (/ (cbrt (/ t z)) (cbrt z)))) x)
2.0ms
(cbrt (/ t z))
2.0ms
(cbrt (/ t z))
3.0ms
(cbrt (/ t z))

series291.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(fma y (+ 3.13060547623 (* (/ (* (cbrt (/ t z)) (cbrt (/ t z))) (* (cbrt z) (cbrt z))) (/ (cbrt (/ t z)) (cbrt z)))) x)
69.0ms
(cbrt (/ t z))
63.0ms
(cbrt (/ t z))
69.0ms
(cbrt (/ t z))

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0168685
1414630
21531605
35002567

prune371.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes634.0ms

Accuracy

96.5% (0.9b remaining)

Error of 1.4b against oracle of 0.4b and baseline of 26.6b

bsearch225.0ms

Steps
ItersRangePoint
7
4.0285976431093624e+55
6.98082773152965e+57
7.35027383630455e+56
9
-3.855877503099219e+16
-133078281566.82077
-3.79207529877254e+16

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03714
13714

end0.0ms

sample937.0ms

Algorithm
intervals
Results
620.0ms8865×body80valid