Details

Time bar (total: 9.2s)

sample26.0ms

Algorithm
intervals
Results
13.0ms347×body80valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3447
4587
done587

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (- 1.0 (* x 0.5)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
38.0ms
(* x (- 1.0 (* x 0.5)))

series124.0ms

Counts
1 → 3
Calls
1 calls:
124.0ms
(* x (- 1.0 (* x 0.5)))

simplify2.2s

Counts
35 → 35
Iterations

Useful iterations: done (2.2s)

IterNodesCost
071411
1151408
2382356
31330347
done5000311

prune96.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 0.5 (pow x 2))
0.0b
(+ (* x 1.0) (- (* 0.5 (pow x 2))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
6×add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u sum-log log1p-expm1-u unpow2 sqr-pow
1×+-commutative neg-sub0 pow-to-exp associate-+r- fma-def flip3-+ unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 47
Calls
2 calls:
20.0ms
(* 0.5 (pow x 2))
9.0ms
(+ (* x 1.0) (- (* 0.5 (pow x 2))))

series155.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* 0.5 (pow x 2))
122.0ms
(+ (* x 1.0) (- (* 0.5 (pow x 2))))

simplify3.1s

Counts
53 → 53
Iterations

Useful iterations: done (3.1s)

IterNodesCost
086510
1217454
2701399
33086363
done5000360

prune157.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 (* 0.5 x)) (fma x 0.5 1.0))
0.1b
(* (* (- 1.0 (* 0.5 x)) (fma x 0.5 1.0)) x)
6.5b
(/ (* (* (- 1.0 (* 0.5 x)) (fma x 0.5 1.0)) x) (+ 1.0 (* x 0.5)))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 add-sqr-sqrt associate-*l/
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r*
4×associate-*l* pow-prod-down
3×cbrt-undiv expm1-log1p-u flip3-- times-frac div-exp associate-/r* flip-- log1p-expm1-u add-log-exp
2×associate-/r/ *-commutative fma-udef associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 75
Calls
3 calls:
34.0ms
(* (- 1.0 (* 0.5 x)) (fma x 0.5 1.0))
70.0ms
(* (* (- 1.0 (* 0.5 x)) (fma x 0.5 1.0)) x)
75.0ms
(/ (* (* (- 1.0 (* 0.5 x)) (fma x 0.5 1.0)) x) (+ 1.0 (* x 0.5)))

series717.0ms

Counts
3 → 9
Calls
3 calls:
173.0ms
(* (- 1.0 (* 0.5 x)) (fma x 0.5 1.0))
188.0ms
(* (* (- 1.0 (* 0.5 x)) (fma x 0.5 1.0)) x)
355.0ms
(/ (* (* (- 1.0 (* 0.5 x)) (fma x 0.5 1.0)) x) (+ 1.0 (* x 0.5)))

simplify1.3s

Counts
84 → 84
Iterations

Useful iterations: 2 (337.0ms)

IterNodesCost
01361505
13691430
218311190
done50001190

prune330.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11610
21810
done1810

end0.0ms

sample643.0ms

Algorithm
intervals
Results
365.0ms10745×body80valid