Details

Time bar (total: 7.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms315×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2227
3417
4597
5807
6907
73617
821807
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.9b
(/ (* x (- y z)) y)

rewrite18.0ms

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:
10.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (- y z))
51.0ms
(/ (* x (- y z)) y)

simplify406.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
090481
1224457
2972399
done5000399

prune90.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:
5.0ms
(/ y (- y z))
9.0ms
(/ x (/ y (- y z)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- y z))
52.0ms
(/ x (/ y (- y z)))

simplify666.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
02182050
14821914
221971842
done50001842

prune289.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod
31×add-sqr-sqrt
29×*-un-lft-identity
15×add-cube-cbrt
12×cbrt-div
11×pow1
10×swap-sqr
9×pow1/3
8×associate-*r* associate-*l*
6×add-exp-log flip3-- flip-- distribute-lft-out--
4×frac-times add-cbrt-cube add-log-exp difference-of-squares 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 → 89
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
20.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

series665.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
183.0ms
(cbrt y)
179.0ms
(cbrt y)
126.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

simplify1.9s

Counts
101 → 101
Iterations

Useful iterations: 3 (466.0ms)

IterNodesCost
01201021
1225930
2794866
32873801
done5000801

prune263.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
7.0ms
(/ (- y z) y)
18.0ms
(* x (/ (- y z) y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (- y z) y)
48.0ms
(* x (/ (- y z) y))

simplify472.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0111813
1265769
21084706
done5000706

prune145.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
done1225

end0.0ms

sample407.0ms

Algorithm
intervals
Results
210.0ms9671×body80valid