Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms370×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0183
1363
2583
3603
4603
done603

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity associate-*r*
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*l/ *-commutative flip-+ add-log-exp
1×distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
31.0ms
(* (* x (+ x y)) 2.0)
22.0ms
(* x (+ x y))

series70.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (* x (+ x y)) 2.0)
30.0ms
(* x (+ x y))

simplify39.0ms

Counts
49 → 49
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201193
11117164
25002164
done5002164

prune68.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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 associate-*r/ associate-*l/
1×flip3-+ associate-*r* *-commutative flip-+ add-log-exp
Counts
1 → 20
Calls
1 calls:
29.0ms
(* x (* (+ x y) 2.0))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* x (* (+ x y) 2.0))

simplify91.0ms

Counts
23 → 23
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0148106
159187
2322087
3500287
done500287

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ x y))) (cbrt (* x (+ x y))))
6.3b
(cbrt (* x (+ x y)))
6.3b
(cbrt (* x (+ x y)))
6.3b
(cbrt (* x (+ x y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
19.0ms
(* (cbrt (* x (+ x y))) (cbrt (* x (+ x y))))
6.0ms
(cbrt (* x (+ x y)))
9.0ms
(cbrt (* x (+ x y)))
6.0ms
(cbrt (* x (+ x y)))

series732.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt (* x (+ x y))) (cbrt (* x (+ x y))))
180.0ms
(cbrt (* x (+ x y)))
174.0ms
(cbrt (* x (+ x y)))
176.0ms
(cbrt (* x (+ x y)))

simplify59.0ms

Counts
84 → 84
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0189541
1573489
21892450
35001443
done5001443

prune188.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y y))
0.0b
(* (- (* x x) (* y y)) 2.0)
6.9b
(* x (* (- (* x x) (* y y)) 2.0))
18.2b
(/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×pow1
9×add-cube-cbrt
7×associate-*l* prod-exp cbrt-unprod
6×associate-*l/ add-log-exp
5×flip3-- times-frac associate-/r* flip--
4×associate-*r/ associate-*r* pow-prod-down difference-of-squares
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 85
Calls
4 calls:
8.0ms
(- (* x x) (* y y))
24.0ms
(* (- (* x x) (* y y)) 2.0)
40.0ms
(* x (* (- (* x x) (* y y)) 2.0))
45.0ms
(/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))

series218.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* x x) (* y y))
43.0ms
(* (- (* x x) (* y y)) 2.0)
59.0ms
(* x (* (- (* x x) (* y y)) 2.0))
83.0ms
(/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))

simplify64.0ms

Counts
97 → 97
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0384716
12171593
25002593
done5002593

prune165.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes25.0ms

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
093
193
done93

end0.0ms

sample436.0ms

Algorithm
intervals
Results
215.0ms11226×body80valid