Details

Time bar (total: 39.9s)

sample30.0ms

Algorithm
intervals
Results
12.0ms357×body80valid

simplify56.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3397
4477
done477

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
59.0ms
(* x (- 1.0 (* x y)))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(* x (- 1.0 (* x y)))

simplify10.5s

Counts
27 → 27
Iterations

Useful iterations: 3 (4.3s)

IterNodesCost
051273
1133270
2569244
34576238
done5001238

prune617.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.3b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite474.0ms

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×frac-times add-cbrt-cube 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 → 87
Calls
4 calls:
6.0ms
(cbrt (- 1.0 (* x y)))
6.0ms
(cbrt (- 1.0 (* x y)))
6.0ms
(cbrt (- 1.0 (* x y)))
74.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series3.0s

Counts
4 → 12
Calls
4 calls:
578.0ms
(cbrt (- 1.0 (* x y)))
893.0ms
(cbrt (- 1.0 (* x y)))
643.0ms
(cbrt (- 1.0 (* x y)))
806.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify3.1s

Counts
99 → 99
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01482038
13821877
216391755
done50011637

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
98.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
1.0ms
(cbrt x)

series3.9s

Counts
4 → 12
Calls
4 calls:
1.0s
(* (cbrt x) (cbrt x))
973.0ms
(cbrt x)
798.0ms
(cbrt x)
1.0s
(cbrt x)

simplify6.0s

Counts
85 → 85
Iterations

Useful iterations: done (6.0s)

IterNodesCost
061524
1139417
2735397
done5000383

prune991.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite101.0ms

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×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube 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 → 72
Calls
4 calls:
48.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
13.0ms
(cbrt (* x (- 1.0 (* x y))))
14.0ms
(cbrt (* x (- 1.0 (* x y))))
22.0ms
(cbrt (* x (- 1.0 (* x y))))

series3.3s

Counts
4 → 12
Calls
4 calls:
907.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
951.0ms
(cbrt (* x (- 1.0 (* x y))))
604.0ms
(cbrt (* x (- 1.0 (* x y))))
759.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify2.2s

Counts
84 → 84
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01682070
14551927
219601792
done50001685

prune583.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes305.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
done87

end2.0ms

sample3.2s

Algorithm
intervals
Results
1.9s10699×body80valid