Details

Time bar (total: 2.3s)

sample19.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify111.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1253
2363
3403
4463
5583
6933
71303
81633
92733
105073
1116183
1250013
done50013

prune2.0ms

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ x (* y (+ z x)))
20.0ms
(* y (+ z x))

series57.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ x (* y (+ z x)))
26.0ms
(* y (+ z x))

simplify94.0ms

Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0186164
1769149
23889149
35003149
done5003149

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
38.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
6.0ms
(cbrt (+ z x))
4.0ms
(cbrt (+ z x))
4.0ms
(cbrt (+ z x))

series553.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
126.0ms
(cbrt (+ z x))
127.0ms
(cbrt (+ z x))
133.0ms
(cbrt (+ z x))

simplify138.0ms

Counts
107 → 107
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0247671
1887634
24204584
35002580
done5002580

prune243.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (cbrt (pow (* y (+ z x)) 3)))
0.0b
(* y (+ z x))
0.3b
(pow (* y (+ z x)) 3)
32.4b
(cbrt (pow (* y (+ z x)) 3))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*r/ add-log-exp
4×cube-div flip3-+ associate-*r* flip-+
3×pow-unpow associate-*l*
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod distribute-lft-out rem-cube-cbrt sqr-pow
1×+-commutative distribute-rgt-in pow-to-exp distribute-lft-in pow1/3 sum-log *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 78
Calls
4 calls:
9.0ms
(+ x (cbrt (pow (* y (+ z x)) 3)))
19.0ms
(* y (+ z x))
10.0ms
(pow (* y (+ z x)) 3)
3.0ms
(cbrt (pow (* y (+ z x)) 3))

series135.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ x (cbrt (pow (* y (+ z x)) 3)))
25.0ms
(* y (+ z x))
46.0ms
(pow (* y (+ z x)) 3)
30.0ms
(cbrt (pow (* y (+ z x)) 3))

simplify50.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0318403
11623366
25002365
done5002365

prune171.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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

sample439.0ms

Algorithm
intervals
Results
174.0ms10145×body80valid