Details

Time bar (total: 12.3s)

sample29.0ms

Algorithm
intervals
Results
12.0ms347×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
067
1147
2236
3276
done276

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize18.0ms

Local error

Found 1 expressions with local error:

3.4b
(* x (+ 1.0 (* y y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
associate-*r/
distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
25.0ms
(* x (+ 1.0 (* y y)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* x (+ 1.0 (* y y)))

simplify1.9s

Counts
27 → 27
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
052263
1147256
2478199
31717199
done5000199

prune74.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.4b

localize16.0ms

Local error

Found 1 expressions with local error:

6.7b
(* (* y y) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
24.0ms
(* (* y y) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* (* y y) x)

simplify4.4s

Counts
24 → 24
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
039177
189172
2288142
3637142
4919142
52318142
done5000142

prune70.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (* y x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
16.0ms
(* y (* y x))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(* y (* y x))

simplify3.0s

Counts
23 → 23
Iterations

Useful iterations: 5 (1.4s)

IterNodesCost
035166
186163
2275133
3449133
4673133
51887132
done5000132

prune54.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* y y))
3.3b
(* x (fma 1.0 1.0 (- (pow y 4))))
9.0b
(/ (* x (fma 1.0 1.0 (- (pow y 4)))) (- 1.0 (* y y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity
pow1 add-log-exp
times-frac associate-/r*
expm1-log1p-u fma-neg associate-*r* associate-*l* prod-diff log1p-expm1-u difference-of-squares
cbrt-undiv flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod fma-udef
distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 70
Calls
3 calls:
6.0ms
(- 1.0 (* y y))
7.0ms
(* x (fma 1.0 1.0 (- (pow y 4))))
19.0ms
(/ (* x (fma 1.0 1.0 (- (pow y 4)))) (- 1.0 (* y y)))

series368.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- 1.0 (* y y))
138.0ms
(* x (fma 1.0 1.0 (- (pow y 4))))
189.0ms
(/ (* x (fma 1.0 1.0 (- (pow y 4)))) (- 1.0 (* y y)))

simplify1.1s

Counts
79 → 79
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01201098
12751070
2912916
done5000770

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
done119

end0.0ms

sample686.0ms

Algorithm
intervals
Results
310.0ms10641×body80valid