Details

Time bar (total: 12.2s)

sample18.0ms

Algorithm
intervals
Results
8.0ms347×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
067
1147
2236
3276
done276

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×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:
26.0ms
(* x (+ 1.0 (* y y)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* x (+ 1.0 (* y y)))

simplify1.7s

Counts
27 → 27
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
052263
1147256
2478199
31717199
done5000199

prune83.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.4b

localize9.0ms

Local error

Found 1 expressions with local error:

6.7b
(* (* y y) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
26.0ms
(* (* y y) x)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* (* y y) x)

simplify4.2s

Counts
24 → 24
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
039177
189172
2288142
3637142
4919142
52318142
done5000142

prune77.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (* y x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
31.0ms
(* y (* y x))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* y (* y x))

simplify3.2s

Counts
23 → 23
Iterations

Useful iterations: 5 (1.6s)

IterNodesCost
035166
186163
2275133
3449133
4673133
51887132
done5000132

prune68.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
5×pow1 add-log-exp
4×times-frac associate-/r*
3×expm1-log1p-u fma-neg associate-*r* associate-*l* prod-diff log1p-expm1-u difference-of-squares
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod fma-udef
1×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))))
15.0ms
(/ (* x (fma 1.0 1.0 (- (pow y 4)))) (- 1.0 (* y y)))

series419.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- 1.0 (* y y))
140.0ms
(* x (fma 1.0 1.0 (- (pow y 4))))
209.0ms
(/ (* x (fma 1.0 1.0 (- (pow y 4)))) (- 1.0 (* y y)))

simplify1.2s

Counts
79 → 79
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01201098
12751070
2912916
done5000770

prune217.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
done119

end0.0ms

sample750.0ms

Algorithm
intervals
Results
351.0ms10641×body80valid