Details

Time bar (total: 23.9s)

sample44.0ms

Algorithm
intervals
Results
18.0ms332×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2349
3849
41659
53319
63759
74349
85099
95929
106709
118439
1212179
1313369
1414539
done14539

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
0.0b
(* (- 1.0 y) z)
2.4b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
12.0ms
(- 1.0 (* (- 1.0 y) z))
52.0ms
(* (- 1.0 y) z)
25.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- 1.0 (* (- 1.0 y) z))
44.0ms
(* (- 1.0 y) z)
73.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.2s

Counts
67 → 67
Iterations

Useful iterations: 3 (966.0ms)

IterNodesCost
0102720
1234695
2702621
32536605
done5000605

prune163.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
2.3b
(* (* x z) (- y 1.0))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
20.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
56.0ms
(* (* x z) (- y 1.0))

series161.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
70.0ms
(* (* x z) (- y 1.0))

simplify4.9s

Counts
47 → 47
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
089589
1255557
2994453
34801451
done5001451

prune135.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.4b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.9b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite412.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
4.0ms
(cbrt (- y 1.0))
4.0ms
(cbrt (- y 1.0))
306.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
91.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series573.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (- y 1.0))
107.0ms
(cbrt (- y 1.0))
108.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
238.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify1.8s

Counts
130 → 130
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02342883
16422763
222012343
done50012163

prune477.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.4b
(* (* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))) (cbrt (- y 1.0)))
1.9b
(* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0))))))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
1534×cbrt-div
704×frac-times
522×associate-*r/
515×flip3-- flip--
256×associate-*l/
54×pow1 add-exp-log
37×pow-prod-down prod-exp cbrt-unprod
31×add-cbrt-cube
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 418
Calls
4 calls:
4.0ms
(cbrt (- y 1.0))
5.0ms
(cbrt (- y 1.0))
995.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))) (cbrt (- y 1.0)))
347.0ms
(* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0))))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (- y 1.0))
140.0ms
(cbrt (- y 1.0))
90.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))) (cbrt (- y 1.0)))
269.0ms
(* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0))))))

simplify1.2s

Counts
430 → 430
Iterations

Useful iterations: done (1.2s)

IterNodesCost
081121799
1242921127
done500020549

prune3.4s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes376.0ms

Accuracy

81.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01955
12845
done2845

end0.0ms

sample966.0ms

Algorithm
intervals
Results
492.0ms10077×body80valid