Details

Time bar (total: 15.5s)

sample32.0ms

Algorithm
intervals
Results
11.0ms304×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3467
4677
5717
done717

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.9b
(* x (- 1.0 (* y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
8.0ms
(- 1.0 (* y z))
26.0ms
(* x (- 1.0 (* y z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- 1.0 (* y z))
77.0ms
(* x (- 1.0 (* y z)))

simplify1.9s

Counts
42 → 42
Iterations

Useful iterations: 3 (707.0ms)

IterNodesCost
060399
1155391
2654351
32979349
done5000349

prune187.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0b
(cbrt (- 1.0 (* y z)))
3.0b
(cbrt (- 1.0 (* y z)))
3.0b
(cbrt (- 1.0 (* y z)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
78.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
6.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
154.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
363.0ms
(cbrt (- 1.0 (* y z)))
364.0ms
(cbrt (- 1.0 (* y z)))
324.0ms
(cbrt (- 1.0 (* y z)))

simplify823.0ms

Counts
78 → 78
Iterations

Useful iterations: done (819.0ms)

IterNodesCost
01361519
13421455
211591334
done50001164

prune698.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
3.0b
(cbrt (- 1.0 (* y z)))
3.0b
(cbrt (- 1.0 (* y z)))
3.0b
(cbrt (- 1.0 (* y z)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×cbrt-prod
9×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-*r/
6×associate-*r* add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*l* *-commutative
Counts
4 → 68
Calls
4 calls:
88.0ms
(* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
6.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))

series1.5s

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
411.0ms
(cbrt (- 1.0 (* y z)))
428.0ms
(cbrt (- 1.0 (* y z)))
422.0ms
(cbrt (- 1.0 (* y z)))

simplify1.5s

Counts
80 → 80
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01351644
13691571
216311452
done50001280

prune702.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (cbrt x) (- 1.0 (* y z)))
2.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
38.0ms
(* (cbrt x) (- 1.0 (* y z)))
112.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series1.2s

Counts
4 → 12
Calls
4 calls:
362.0ms
(cbrt x)
361.0ms
(cbrt x)
364.0ms
(* (cbrt x) (- 1.0 (* y z)))
145.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify2.2s

Counts
94 → 94
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01101159
13261133
21961866
done5001701

prune482.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes801.0ms

Accuracy

80.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch3.0ms

simplify14.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01839
12930
23330
34030
done4030

end0.0ms

sample1.6s

Algorithm
intervals
Results
486.0ms9574×body80valid