Details

Time bar (total: 6.4s)

sample66.0ms

Algorithm
intervals
Results
45.0ms275×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
06211
113211
237710
3110510
4359910
5500110

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
2.9b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
30.4b
(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)

rewrite4.0ms

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:
0.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
2.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms
(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)

series896.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
29.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
110.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
718.0ms
(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)

simplify104.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0270563
1830501
23551493
35002491

prune397.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 3.13060547623 (/ t (pow z 2)))
3.1b
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
7.6b
(/ t (pow z 2))

rewrite21.0ms

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:
14.0ms
(+ 3.13060547623 (/ t (pow z 2)))
0.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
4.0ms
(/ t (pow z 2))

series105.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ 3.13060547623 (/ t (pow z 2)))
51.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
23.0ms
(/ t (pow z 2))

simplify134.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0255414
1847369
24454360
35001359

prune244.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize7.0ms

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)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
48×*-un-lft-identity
46×add-sqr-sqrt add-cube-cbrt
13×associate-/l*
8×add-exp-log add-cbrt-cube
5×div-inv add-log-exp
3×pow1 cbrt-undiv expm1-log1p-u fma-def div-exp associate-/r* log1p-expm1-u
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ fma-udef associate-/l/ distribute-lft-out
Counts
3 → 99
Calls
3 calls:
17.0ms
(+ 3.13060547623 (/ (/ t z) z))
9.0ms
(/ (/ t z) z)
0.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

series107.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ 3.13060547623 (/ (/ t z) z))
27.0ms
(/ (/ t z) z)
51.0ms
(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0415619
11504567
25001560

prune305.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

7.6b
(/ t (pow z 2))
12.4b
(cbrt (fma y (+ 3.13060547623 (/ t (pow z 2))) x))
12.4b
(cbrt (fma y (+ 3.13060547623 (/ t (pow z 2))) x))
12.4b
(cbrt (fma y (+ 3.13060547623 (/ t (pow z 2))) x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
12×unpow-prod-down
9×add-exp-log cbrt-prod
8×associate-/r*
6×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u unpow2 add-log-exp sqr-pow
3×pow1/3 div-exp associate-/l*
1×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num div-inv
Counts
4 → 90
Calls
4 calls:
4.0ms
(/ t (pow z 2))
0.0ms
(cbrt (fma y (+ 3.13060547623 (/ t (pow z 2))) x))
0.0ms
(cbrt (fma y (+ 3.13060547623 (/ t (pow z 2))) x))
1.0ms
(cbrt (fma y (+ 3.13060547623 (/ t (pow z 2))) x))

series936.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ t (pow z 2))
307.0ms
(cbrt (fma y (+ 3.13060547623 (/ t (pow z 2))) x))
304.0ms
(cbrt (fma y (+ 3.13060547623 (/ t (pow z 2))) x))
302.0ms
(cbrt (fma y (+ 3.13060547623 (/ t (pow z 2))) x))

simplify35.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0281682
1935622
25001601

prune355.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes768.0ms

Accuracy

97.7% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 26.4b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06460
16460

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s8866×body80valid