Details

Time bar (total: 11.1s)

sample46.0ms

Algorithm
intervals
Results
30.0ms437×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (406.0ms)

IterNodesCost
02867
17066
224247
394135
4324634
done500134

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))
0.1b
(* (/ 1.0 (sqrt PI)) (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))))
0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
1.0b
(sqrt PI)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
34×associate-*l*
33×times-frac
29×add-cube-cbrt *-un-lft-identity
22×add-exp-log
16×associate-*r*
14×add-cbrt-cube
13×sqrt-prod
11×unswap-sqr
8×prod-exp
7×pow1
5×unpow-prod-down cube-prod
4×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u add-log-exp
3×fma-udef sqr-pow
2×cbrt-undiv pow-to-exp pow-exp *-commutative div-inv
1×distribute-rgt-in cube-mult rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 unpow3 associate-*r/ pow-prod-down associate-*l/
Counts
4 → 123
Calls
4 calls:
0.0ms
(fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))
12.0ms
(* (/ 1.0 (sqrt PI)) (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))))
12.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
1.0ms
(sqrt PI)

series538.0ms

Counts
4 → 10
Calls
4 calls:
191.0ms
(fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))
297.0ms
(* (/ 1.0 (sqrt PI)) (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))))
50.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.0ms
(sqrt PI)

simplify681.0ms

Counts
133 → 133
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
02133168
15053074
220132788
done50002788

prune583.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cbrt 1.0) (sqrt (sqrt PI))) (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))))
0.4b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt PI))) (* (/ (cbrt 1.0) (sqrt (sqrt PI))) (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
71×associate-*l*
70×add-sqr-sqrt
69×times-frac
48×add-cube-cbrt *-un-lft-identity
45×add-exp-log
35×add-cbrt-cube
30×cbrt-prod
20×prod-exp cbrt-unprod
13×pow1
10×cbrt-undiv div-exp
7×unswap-sqr
6×fma-udef
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 167
Calls
4 calls:
27.0ms
(* (/ (cbrt 1.0) (sqrt (sqrt PI))) (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))))
43.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt PI))) (* (/ (cbrt 1.0) (sqrt (sqrt PI))) (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series841.0ms

Counts
4 → 8
Calls
4 calls:
491.0ms
(* (/ (cbrt 1.0) (sqrt (sqrt PI))) (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))))
350.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt PI))) (* (/ (cbrt 1.0) (sqrt (sqrt PI))) (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.0s

Counts
175 → 175
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02187196
15927071
224005933
done50015721

prune848.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))
0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.3b
(/ (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))) (sqrt PI))
1.0b
(sqrt PI)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
31×times-frac
30×add-cube-cbrt *-un-lft-identity
19×add-exp-log
15×sqrt-prod
13×associate-*r*
12×associate-*l*
11×add-cbrt-cube
8×unswap-sqr
6×prod-exp associate-/r*
5×pow1 unpow-prod-down cube-prod
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-/l* sqr-pow
2×cbrt-undiv pow-to-exp pow-exp cbrt-unprod div-inv
1×cube-mult rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 unpow3 associate-*r/ clear-num *-commutative fma-udef
Counts
4 → 118
Calls
4 calls:
0.0ms
(fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))
12.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
3.0ms
(/ (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))) (sqrt PI))
1.0ms
(sqrt PI)

series482.0ms

Counts
4 → 10
Calls
4 calls:
182.0ms
(fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))
48.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
251.0ms
(/ (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))) (sqrt PI))
0.0ms
(sqrt PI)

simplify569.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
01963342
14203220
215513010
done50003010

prune521.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.3b
(* (/ 1.0 (sqrt PI)) (sqrt (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))))
0.3b
(* (* (/ 1.0 (sqrt PI)) (sqrt (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))))) (sqrt (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))))
1.0b
(sqrt PI)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
35×times-frac associate-*l*
32×add-cube-cbrt *-un-lft-identity
31×add-exp-log
25×associate-*r*
23×sqrt-prod add-cbrt-cube
14×unswap-sqr
13×prod-exp
12×pow1
9×cbrt-unprod
5×unpow-prod-down cube-prod div-exp
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×cbrt-undiv associate-*l/ *-commutative sqr-pow
2×pow-to-exp pow-exp div-inv
1×cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-*r/
Counts
4 → 143
Calls
4 calls:
12.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
13.0ms
(* (/ 1.0 (sqrt PI)) (sqrt (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))))
24.0ms
(* (* (/ 1.0 (sqrt PI)) (sqrt (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))))) (sqrt (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))))
1.0ms
(sqrt PI)

series637.0ms

Counts
4 → 10
Calls
4 calls:
44.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
292.0ms
(* (/ 1.0 (sqrt PI)) (sqrt (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))))
300.0ms
(* (* (/ 1.0 (sqrt PI)) (sqrt (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0)))))) (sqrt (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (* (pow (fabs x) 3) (/ 2.0 3.0))))))
0.0ms
(sqrt PI)

simplify762.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
02355336
15694296
221773800
done50003800

prune675.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02534
12734
done2734

end0.0ms

sample1.1s

Algorithm
intervals
Results
973.0ms13989×body80valid