Details

Time bar (total: 10.1s)

sample186.0ms

Algorithm
intervals
Results
12.0ms303×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0583
1783
21583
done1583

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize289.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
37.0ms
(* (+ x y) z)

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* (+ x y) z)

simplify750.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
0453731
11113359
25063199
done50003199

prune135.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
2.9b
(cbrt (* (+ x y) z))
2.9b
(cbrt (* (+ x y) z))
2.9b
(cbrt (* (+ x y) z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
17.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
6.0ms
(cbrt (* (+ x y) z))
9.0ms
(cbrt (* (+ x y) z))
11.0ms
(cbrt (* (+ x y) z))

series655.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
181.0ms
(cbrt (* (+ x y) z))
169.0ms
(cbrt (* (+ x y) z))
110.0ms
(cbrt (* (+ x y) z))

simplify1.3s

Counts
84 → 84
Iterations

Useful iterations: done (1.2s)

IterNodesCost
013930405
134026470
2113426188
done500025508

prune563.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.6b
(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
30.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

series763.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (+ x y))
164.0ms
(cbrt (+ x y))
195.0ms
(cbrt (+ x y))
237.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify1.4s

Counts
107 → 107
Iterations

Useful iterations: done (1.3s)

IterNodesCost
011636781
127728697
2112928697
done500028137

prune657.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

2.5b
(- (* x x) (* y y))
10.9b
(* (- (* x x) (* y y)) z)
17.3b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-/r* times-frac add-log-exp
4×flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out-- associate-/l/
1×clear-num sub-neg frac-2neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
6.0ms
(- (* x x) (* y y))
20.0ms
(* (- (* x x) (* y y)) z)
33.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series175.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (* x x) (* y y))
65.0ms
(* (- (* x x) (* y y)) z)
72.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.6s

Counts
72 → 72
Iterations

Useful iterations: done (1.6s)

IterNodesCost
011320154
132416391
2199016071
done500015791

prune272.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes334.0ms

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
0583
1783
done783

end0.0ms

sample694.0ms

Algorithm
intervals
Results
329.0ms10111×body80valid