Details

Time bar (total: 10.9s)

sample27.0ms

Algorithm
intervals
Results
11.0ms300×body80valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4617
5827
6927
done927

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.0b
(/ (* x (- y z)) y)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
34.0ms
(* x (- y z))
23.0ms
(/ (* x (- y z)) y)

series123.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (- y z))
68.0ms
(/ (* x (- y z)) y)

simplify2.6s

Counts
55 → 55
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
090481
1219457
2715399
33669399
done5000399

prune136.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.5b
(/ x (/ y (- y z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
15.0ms
(/ y (- y z))
25.0ms
(/ x (/ y (- y z)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ y (- y z))
71.0ms
(/ x (/ y (- y z)))

simplify1.3s

Counts
145 → 145
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02182050
14591914
216191842
done50001833

prune379.0ms

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 (- y z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 48
Calls
4 calls:
4.0ms
(cbrt (- y z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (- y z))
278.0ms
(cbrt y)
267.0ms
(cbrt y)
308.0ms
(cbrt y)

simplify1.5s

Counts
60 → 60
Iterations

Useful iterations: done (1.5s)

IterNodesCost
085381
1172365
2347339
3712320
41781305
done5000301

prune247.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1 (/ z y))
1.5b
(* x (- 1 (/ z y)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
12×*-un-lft-identity
8×associate-*r* difference-of-squares
4×pow1 add-exp-log add-cube-cbrt times-frac add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
21.0ms
(- 1 (/ z y))
87.0ms
(* x (- 1 (/ z y)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(- 1 (/ z y))
49.0ms
(* x (- 1 (/ z y)))

simplify2.0s

Counts
52 → 52
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
074499
1177465
2401427
31128427
done5000427

prune88.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
done1225

end0.0ms

sample792.0ms

Algorithm
intervals
Results
390.0ms9617×body80valid