Details

Time bar (total: 6.0s)

sample47.0ms

Algorithm
intervals
Results
31.0ms459×body80valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07042
125242
2105942
3471342
4500142

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
48×associate-*l*
44×prod-exp cbrt-unprod
42×add-sqr-sqrt
38×times-frac
36×pow1
33×add-cube-cbrt *-un-lft-identity
22×pow-prod-down
15×associate-*l/
13×sqrt-prod
12×frac-add
9×cbrt-undiv div-exp
6×frac-times flip3-+ associate-*r/ flip-+
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 163
Calls
4 calls:
23.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
20.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series452.0ms

Counts
4 → 10
Calls
4 calls:
59.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
341.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
52.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify65.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012244596
150013689

prune739.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7)))
0.0b
(fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7))))
0.1b
(* 0.047619047619047616 (pow (fabs x) 7))
0.1b
(* (* 1.0 (sqrt (/ 1 PI))) (fma 0.6666666666666666 (pow (fabs x) 3) (fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7))))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×associate-*r*
9×pow1
8×add-cube-cbrt *-un-lft-identity
6×prod-exp
4×expm1-log1p-u unpow-prod-down associate-*l* cbrt-unprod fma-udef log1p-expm1-u add-log-exp
3×pow-prod-down unswap-sqr
2×*-commutative sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in sqrt-div associate-*r/ associate-*l/ pow-exp
Counts
4 → 70
Calls
4 calls:
1.0ms
(fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7)))
1.0ms
(fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7))))
6.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
8.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (fma 0.6666666666666666 (pow (fabs x) 3) (fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7))))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7)))
164.0ms
(fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7))))
70.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
335.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (fma 0.6666666666666666 (pow (fabs x) 3) (fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7))))))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0290861
11344740
25001739

prune335.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.047619047619047616 (pow (fabs x) 7))
0.1b
(* (* 1.0 (sqrt (/ 1 PI))) (* 0.6666666666666666 (pow (fabs x) 3)))
0.1b
(* (* 1.0 (sqrt (/ 1 PI))) (fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7)))))
0.1b
(* 0.6666666666666666 (pow (fabs x) 3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
27×prod-exp
25×add-cbrt-cube
24×add-sqr-sqrt
23×associate-*r*
14×pow1
13×cbrt-unprod
12×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down associate-*l*
7×unswap-sqr
6×pow-prod-down
4×expm1-log1p-u pow-to-exp cube-prod pow-exp *-commutative log1p-expm1-u add-log-exp sqr-pow
2×sqrt-div associate-*r/ associate-*l/ fma-udef
1×distribute-rgt-in cube-mult distribute-lft-in unpow3
Counts
4 → 110
Calls
4 calls:
5.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
11.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (* 0.6666666666666666 (pow (fabs x) 3)))
12.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7)))))
8.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

series522.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
127.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (* 0.6666666666666666 (pow (fabs x) 3)))
275.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7)))))
44.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

simplify73.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0446980
12320837
25001836

prune612.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7))))
0.1b
(* 0.047619047619047616 (pow (fabs x) 7))
0.3b
(/ (* 1.0 (fma 0.6666666666666666 (pow (fabs x) 3) (fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7)))))) (sqrt PI))
1.0b
(sqrt PI)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×add-exp-log
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×sqrt-prod
7×associate-*r*
6×times-frac associate-/r*
5×pow1
4×expm1-log1p-u unpow-prod-down prod-exp log1p-expm1-u add-log-exp
3×associate-*l* unswap-sqr
2×cbrt-undiv div-exp cbrt-unprod sqr-pow
1×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-exp clear-num *-commutative fma-udef div-inv associate-/l*
Counts
4 → 81
Calls
4 calls:
1.0ms
(fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7))))
6.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
5.0ms
(/ (* 1.0 (fma 0.6666666666666666 (pow (fabs x) 3) (fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7)))))) (sqrt PI))
1.0ms
(sqrt PI)

series553.0ms

Counts
4 → 10
Calls
4 calls:
160.0ms
(fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7))))
70.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
323.0ms
(/ (* 1.0 (fma 0.6666666666666666 (pow (fabs x) 3) (fma 0.2 (pow (fabs x) 5) (fma 2.0 (fabs x) (* 0.047619047619047616 (pow (fabs x) 7)))))) (sqrt PI))
0.0ms
(sqrt PI)

simplify42.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295894
11293778
25001778

prune337.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03421
13421

end0.0ms

sample1.1s

Algorithm
intervals
Results
939.0ms13807×body80valid