Details

Time bar (total: 9.3s)

sample68.0ms

Algorithm
intervals
Results
45.0ms295×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
06211
113211
237710
3110510
4359910
5500110

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(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)
2.9b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
24.8b
(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 (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
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)

series915.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
29.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
116.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
712.0ms
(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)

simplify106.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0265578
1824514
23565508
35001506

prune397.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
2.9b
(/ y (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771))
24.8b
(fma (/ y (+ (* (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)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-/r/ fma-udef
1×cbrt-undiv frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 71
Calls
4 calls:
3.0ms
(* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z)
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
6.0ms
(/ y (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771))
0.0ms
(fma (/ y (+ (* (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)

series914.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z)
29.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
113.0ms
(/ y (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771))
712.0ms
(fma (/ y (+ (* (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)

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0351702
11188631
25001624

prune416.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
0.1b
(/ 1 (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771))
3.0b
(* y (/ 1 (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771)))
24.8b
(fma (* y (/ 1 (+ (* (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)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
6.0ms
(/ 1 (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771))
16.0ms
(* y (/ 1 (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771)))
0.0ms
(fma (* y (/ 1 (+ (* (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)

series939.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
74.0ms
(/ 1 (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771))
118.0ms
(* y (/ 1 (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771)))
719.0ms
(fma (* y (/ 1 (+ (* (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)

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0419992
11700859
25001814

prune474.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.1b
(/ (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771) (cbrt y))
2.0b
(/ (* (cbrt y) (cbrt y)) (/ (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771) (cbrt y)))
24.8b
(fma (/ (* (cbrt y) (cbrt y)) (/ (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771) (cbrt y))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
33×cbrt-prod
28×associate-/r*
18×add-exp-log
11×add-cbrt-cube
7×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l/
1×flip3-+ pow1/3 associate-/r/ flip-+ fma-udef
Counts
4 → 132
Calls
4 calls:
0.0ms
(cbrt y)
9.0ms
(/ (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771) (cbrt y))
12.0ms
(/ (* (cbrt y) (cbrt y)) (/ (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771) (cbrt y)))
0.0ms
(fma (/ (* (cbrt y) (cbrt y)) (/ (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771) (cbrt y))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
126.0ms
(/ (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771) (cbrt y))
123.0ms
(/ (* (cbrt y) (cbrt y)) (/ (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771) (cbrt y)))
749.0ms
(fma (/ (* (cbrt y) (cbrt y)) (/ (+ (* (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z) 0.607771387771) (cbrt y))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify84.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06311982
129031772
250021727

prune974.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes520.0ms

Accuracy

96.2% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 28.6b

bsearch251.0ms

Steps
ItersRangePoint
6
1.7408537839790103e+31
1.8442261991708206e+32
6.328907428051715e+31
9
-1.0275568183052364e+26
-5.156738520659002e+19
-1.470522642368667e+23

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04115
14115

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s8836×body80valid