Details

Time bar (total: 1.5s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

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

prune11.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b
(* 0.70711 (fma 0.27061 x 2.30753))
15.1b
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
3×times-frac associate-*r* associate-*l* associate-/r*
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
4 → 65
Calls
4 calls:
1.0ms
(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms
(* 0.70711 (fma 0.27061 x 2.30753))
5.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series234.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
31.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
51.0ms
(* 0.70711 (fma 0.27061 x 2.30753))
76.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0272452
11121382
25002382

prune189.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh101
Picked011
Done000
Total77279

Merged error: 0b

Counts
79 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
15.2b
(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
1.0ms
(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms
(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

series161.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))
25.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
66.0ms
(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0201402
1579359
22757355
35002349

prune141.0ms

Filtered
58 candidates to 48 candidates (82.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done011
Total58260

Merged error: 0b

Counts
60 → 2

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
0136

end0.0ms

sample462.0ms

Algorithm
intervals
Results
358.0ms8000×body80valid

Profiling

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