Details

Time bar (total: 2.2s)

sample32.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify133.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0319
1599
2909
31167
41307
51487
61887
72647
83047
93777
105807
118517
1214027
1327877
1431687
1543217
1650017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b
(* 0.70711 (fma 0.27061 x 2.30753))
16.9b
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×expm1-log1p-u times-frac associate-*r* associate-*l* associate-/r* fma-udef log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 55
Calls
3 calls:
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms
(* 0.70711 (fma 0.27061 x 2.30753))
4.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
53.0ms
(* 0.70711 (fma 0.27061 x 2.30753))
73.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify34.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0238335
11024281
25002281

prune169.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.70711 (fma 0.27061 x 2.30753))
0.6b
(* (sqrt (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))))
16.9b
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
16.9b
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
21×pow1
18×add-exp-log times-frac add-cbrt-cube
13×associate-*r* associate-*l*
12×swap-sqr
8×sqrt-pow1 pow1/2
6×associate-/r* div-inv
5×pow-prod-up unswap-sqr
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-sqr
2×frac-2neg clear-num *-commutative fma-udef associate-/l*
1×pow2 distribute-rgt-in frac-times distribute-lft-in pow-plus sqrt-unprod associate-*r/ associate-*l/ rem-square-sqrt
Counts
4 → 134
Calls
4 calls:
3.0ms
(* 0.70711 (fma 0.27061 x 2.30753))
18.0ms
(* (sqrt (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))))
4.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
4.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series351.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* 0.70711 (fma 0.27061 x 2.30753))
150.0ms
(* (sqrt (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))))
73.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
73.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
03841138
12224979
25001946

prune400.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample750.0ms

Algorithm
intervals
Results
656.0ms8000×body80valid