Details

Time bar (total: 9.3s)

sample30.0ms

Algorithm
intervals
Results
12.0ms302×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
089
1169
2427
31455
410015
done50005

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ (* y x) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
20.0ms
(/ (* y x) z)

series32.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (* y x) z)

simplify997.0ms

Counts
24 → 24
Iterations

Useful iterations: done (996.0ms)

IterNodesCost
050186
1124179
2641155
done5000149

prune73.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ z (* y x)))
4.4b
(/ z (* y x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 77
Calls
2 calls:
34.0ms
(/ 1 (/ z (* y x)))
8.0ms
(/ z (* y x))

series62.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 1 (/ z (* y x)))
25.0ms
(/ z (* y x))

simplify850.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
0121866
1302735
21544665
done5000665

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ (* y x) z)
13.6b
(cbrt (/ (* y x) z))
13.6b
(cbrt (/ (* y x) z))
13.6b
(cbrt (/ (* y x) z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 69
Calls
4 calls:
21.0ms
(/ (* y x) z)
8.0ms
(cbrt (/ (* y x) z))
7.0ms
(cbrt (/ (* y x) z))
4.0ms
(cbrt (/ (* y x) z))

series362.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* y x) z)
112.0ms
(cbrt (/ (* y x) z))
101.0ms
(cbrt (/ (* y x) z))
128.0ms
(cbrt (/ (* y x) z))

simplify741.0ms

Counts
81 → 81
Iterations

Useful iterations: done (739.0ms)

IterNodesCost
094804
1197773
2841701
done5000662

prune307.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.8b
(* y (/ x z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
25.0ms
(* y (/ x z))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* y (/ x z))

simplify2.7s

Counts
35 → 35
Iterations

Useful iterations: done (2.7s)

IterNodesCost
070277
1181264
2674234
34617234
done5002230

prune90.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes209.0ms

Accuracy

4.3% (5.8b remaining)

Error of 5.8b against oracle of 0.0b and baseline of 6.1b

bsearch34.0ms

Steps
ItersRangePoint
9
8.016899727942974e+125
2.7695107245953193e+133
1.0829512944251288e+128

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11418
done1418

end0.0ms

sample1.1s

Algorithm
intervals
Results
498.0ms9590×body80valid