Details

Time bar (total: 15.0s)

sample34.0ms

Algorithm
intervals
Results
17.0ms370×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07163
119123
241123
366123
493123
done93123

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x (+ x y)) 2.0)
0.0b
(* x (+ x y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity associate-*r*
5×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*l/ *-commutative flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 47
Calls
2 calls:
31.0ms
(* (* x (+ x y)) 2.0)
16.0ms
(* x (+ x y))

series104.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (* x (+ x y)) 2.0)
41.0ms
(* x (+ x y))

simplify3.4s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
07610488
12258417
27978127
340107807
done50007807

prune236.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (* (+ x y) 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity associate-*l/ associate-*r/ add-cube-cbrt
1×expm1-log1p-u flip3-+ associate-*r* *-commutative flip-+ log1p-expm1-u add-log-exp
Counts
1 → 22
Calls
1 calls:
33.0ms
(* x (* (+ x y) 2.0))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(* x (* (+ x y) 2.0))

simplify3.2s

Counts
25 → 25
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
0545695
11494471
25304206
329214206
done50044206

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* x y))
0.0b
(* (+ (* x x) (* x y)) 2.0)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 38
Calls
2 calls:
6.0ms
(+ (* x x) (* x y))
29.0ms
(* (+ (* x x) (* x y)) 2.0)

series107.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* x x) (* x y))
65.0ms
(* (+ (* x x) (* x y)) 2.0)

simplify3.3s

Counts
44 → 44
Iterations

Useful iterations: done (3.3s)

IterNodesCost
06410782
11767548
26457178
331297148
done50007098

prune181.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (* x (- (* x x) (* y y))) (- x y)) 2.0)
6.5b
(* x (- (* x x) (* y y)))
15.3b
(/ (* x (- (* x x) (* y y))) (- x y))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×add-cbrt-cube add-exp-log
16×*-un-lft-identity
14×associate-*l*
10×times-frac add-cube-cbrt
7×pow1 associate-*r*
6×prod-exp cbrt-unprod
5×associate-/r*
4×cbrt-undiv flip3-- div-exp associate-*r/ associate-/r/ flip-- difference-of-squares
3×distribute-rgt-in expm1-log1p-u distribute-lft-in log1p-expm1-u distribute-lft-out-- add-log-exp
2×sub-neg prod-diff pow-prod-down *-commutative div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg associate-*l/ associate-/l*
Counts
3 → 93
Calls
3 calls:
55.0ms
(* (/ (* x (- (* x x) (* y y))) (- x y)) 2.0)
23.0ms
(* x (- (* x x) (* y y)))
27.0ms
(/ (* x (- (* x x) (* y y))) (- x y))

series345.0ms

Counts
3 → 9
Calls
3 calls:
147.0ms
(* (/ (* x (- (* x x) (* y y))) (- x y)) 2.0)
88.0ms
(* x (- (* x x) (* y y)))
110.0ms
(/ (* x (- (* x x) (* y y))) (- x y))

simplify2.4s

Counts
102 → 102
Iterations

Useful iterations: done (2.3s)

IterNodesCost
015731598
145327798
2178825036
done500224581

prune440.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
19123
done9123

end0.0ms

sample740.0ms

Algorithm
intervals
Results
491.0ms11128×body80valid