Details

Time bar (total: 9.7s)

sample13.0ms

Algorithm
intervals
Results
6.0ms330×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2317
3617
4867
5927
6967
done967

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
14.0ms
(* (* x y) (- 1.0 y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (* x y) (- 1.0 y))

simplify2.5s

Counts
49 → 49
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0110883
1288712
2949570
33938528
done5000528

prune65.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
12.3b
(cbrt (* (* x y) (- 1.0 y)))
12.3b
(cbrt (* (* x y) (- 1.0 y)))
12.3b
(cbrt (* (* x y) (- 1.0 y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
12.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
143.0ms
(cbrt (* (* x y) (- 1.0 y)))
139.0ms
(cbrt (* (* x y) (- 1.0 y)))
144.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify1.4s

Counts
92 → 92
Iterations

Useful iterations: 3 (550.0ms)

IterNodesCost
01712079
14201907
212111747
343061429
done50001429

prune268.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
12.3b
(cbrt (* (* x y) (- 1.0 y)))
12.3b
(cbrt (* (* x y) (- 1.0 y)))
12.3b
(cbrt (* x y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
16×cbrt-div
9×pow1 add-exp-log
8×flip3-- flip--
6×pow1/3
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down add-cbrt-cube
4×cbrt-prod expm1-log1p-u frac-times associate-*l* log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative
Counts
4 → 67
Calls
4 calls:
30.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
2.0ms
(cbrt (* x y))

series542.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
147.0ms
(cbrt (* (* x y) (- 1.0 y)))
144.0ms
(cbrt (* (* x y) (- 1.0 y)))
69.0ms
(cbrt (* x y))

simplify1.5s

Counts
79 → 79
Iterations

Useful iterations: 3 (646.0ms)

IterNodesCost
01951632
15111574
214121437
349001258
done50001258

prune277.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) y)
3.4b
(* x (* (- 1.0 y) y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* (- 1.0 y) y)
16.0ms
(* x (* (- 1.0 y) y))

series96.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (- 1.0 y) y)
45.0ms
(* x (* (- 1.0 y) y))

simplify1.7s

Counts
52 → 52
Iterations

Useful iterations: 3 (664.0ms)

IterNodesCost
077461
1183451
2635387
33068375
done5000375

prune83.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample341.0ms

Algorithm
intervals
Results
188.0ms10662×body80valid