Details

Time bar (total: 16.0s)

sample24.0ms

Algorithm
intervals
Results
10.0ms348×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3447
4587
done587

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
27.0ms
(* x (- 1.0 (* x y)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* x (- 1.0 (* x y)))

simplify2.0s

Counts
35 → 35
Iterations

Useful iterations: done (2.0s)

IterNodesCost
071411
1151408
2382356
31330347
done5000311

prune76.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp 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 → 95
Calls
4 calls:
53.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
4.0ms
(cbrt (- 1.0 (* x y)))

series1.4s

Counts
4 → 12
Calls
4 calls:
327.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
384.0ms
(cbrt (- 1.0 (* x y)))
318.0ms
(cbrt (- 1.0 (* x y)))
393.0ms
(cbrt (- 1.0 (* x y)))

simplify2.5s

Counts
107 → 107
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01522108
13701928
211921787
344171474
done50001474

prune496.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
0.2b
(cbrt (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (cbrt (- 1.0 (* x y))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 swap-sqr associate-*r* associate-*l* flip-- unswap-sqr
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
51.0ms
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
4.0ms
(cbrt (cbrt (- 1.0 (* x y))))
5.0ms
(cbrt (cbrt (- 1.0 (* x y))))
14.0ms
(cbrt (cbrt (- 1.0 (* x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
303.0ms
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
377.0ms
(cbrt (cbrt (- 1.0 (* x y))))
392.0ms
(cbrt (cbrt (- 1.0 (* x y))))
360.0ms
(cbrt (cbrt (- 1.0 (* x y))))

simplify2.5s

Counts
130 → 130
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01752812
13942620
212412461
344592104
done50002101

prune706.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
0.5b
(pow (cbrt (cbrt (- 1.0 (* x y)))) 6)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×cbrt-div
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 83
Calls
4 calls:
6.0ms
(cbrt (cbrt (- 1.0 (* x y))))
6.0ms
(cbrt (cbrt (- 1.0 (* x y))))
8.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
15.0ms
(pow (cbrt (cbrt (- 1.0 (* x y)))) 6)

series1.7s

Counts
4 → 12
Calls
4 calls:
343.0ms
(cbrt (cbrt (- 1.0 (* x y))))
338.0ms
(cbrt (cbrt (- 1.0 (* x y))))
354.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
656.0ms
(pow (cbrt (cbrt (- 1.0 (* x y)))) 6)

simplify1.2s

Counts
95 → 95
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01931822
14771727
215601556
done50001328

prune581.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes158.0ms

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

sample896.0ms

Algorithm
intervals
Results
434.0ms10706×body80valid