Details

Time bar (total: 7.6s)

sample40.0ms

Algorithm
intervals
Results
17.0ms276×body80valid

simplify57.0ms

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: 24.7b

localize20.0ms

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)
1.7b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
24.1b
(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)

rewrite7.0ms

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 3.13060547623 11.1667541262) z t)
0.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
5.0ms
(/ 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)

series1.1s

Counts
4 → 12
Calls
4 calls:
29.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
38.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
115.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
915.0ms
(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)

simplify105.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0270563
1830501
23551493
35002491

prune408.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

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)
1.7b
(/ y (fma (pow (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) 1) z 0.607771387771))
24.1b
(fma (/ y (fma (pow (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) 1) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite7.0ms

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 3.13060547623 11.1667541262) z t)
0.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
5.0ms
(/ y (fma (pow (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) 1) z 0.607771387771))
0.0ms
(fma (/ y (fma (pow (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) 1) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series920.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
35.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
115.0ms
(/ y (fma (pow (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) 1) z 0.607771387771))
735.0ms
(fma (/ y (fma (pow (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) 1) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify119.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0274619
1869546
23884537
35001535

prune418.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.3b
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
1.7b
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
24.1b
(fma (/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num fma-udef
1×pow-flip associate-/r/ inv-pow
Counts
4 → 127
Calls
4 calls:
0.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
10.0ms
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
5.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
0.0ms
(fma (/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series647.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
93.0ms
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
93.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
424.0ms
(fma (/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05081479
121001329
250021250

prune607.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

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)
1.7b
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
25.6b
(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
11×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×associate-/r/
Counts
4 → 121
Calls
4 calls:
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
0.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
5.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
9.0ms
(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

series483.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
36.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
97.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
312.0ms
(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

simplify65.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05261808
119411694
250011692

prune684.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes612.0ms

Accuracy

97.2% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 28.0b

bsearch129.0ms

Steps
ItersRangePoint
4
7.802624009279754e+34
1.3363449033107056e+35
9.382717915848657e+34
6
-3.703148715935251e+46
-2.3342649263116517e+45
-3.347574103937019e+46

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04015
14015

end0.0ms

sample978.0ms

Algorithm
intervals
Results
559.0ms8841×body80valid