Details

Time bar (total: 17.6s)

sample39.0ms

Algorithm
intervals
Results
19.0ms348×body80valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3387
4447
done447

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)))

rewrite19.0ms

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:
18.0ms
(* x (- 1.0 (* x y)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* x (- 1.0 (* x y)))

simplify2.0s

Counts
27 → 27
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
051273
1122270
2332236
31181236
done5000236

prune55.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite60.0ms

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:
47.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
5.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
380.0ms
(cbrt (- 1.0 (* x y)))
314.0ms
(cbrt (- 1.0 (* x y)))
316.0ms
(cbrt (- 1.0 (* x y)))

simplify2.8s

Counts
99 → 99
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01482038
13551877
211271755
341731442
done50001386

prune422.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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))))

rewrite74.0ms

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×frac-times add-cbrt-cube 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 → 110
Calls
4 calls:
56.0ms
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
7.0ms
(cbrt (cbrt (- 1.0 (* x y))))
4.0ms
(cbrt (cbrt (- 1.0 (* x y))))
4.0ms
(cbrt (cbrt (- 1.0 (* x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
331.0ms
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
352.0ms
(cbrt (cbrt (- 1.0 (* x y))))
338.0ms
(cbrt (cbrt (- 1.0 (* x y))))
400.0ms
(cbrt (cbrt (- 1.0 (* x y))))

simplify2.7s

Counts
122 → 122
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01712732
13792559
211732419
342052064
done50002007

prune494.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
174×cbrt-prod
61×add-sqr-sqrt
54×cbrt-div
29×add-cube-cbrt *-un-lft-identity
16×unswap-sqr
12×swap-sqr associate-*r* associate-*l*
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 135
Calls
4 calls:
9.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
9.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
12.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
84.0ms
(* (cbrt (cbrt (cbrt (- 1.0 (* x y))))) (cbrt (cbrt (cbrt (- 1.0 (* x y))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
292.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
338.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
373.0ms
(* (cbrt (cbrt (cbrt (- 1.0 (* x y))))) (cbrt (cbrt (cbrt (- 1.0 (* x y))))))

simplify2.8s

Counts
147 → 147
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01983626
14083423
212203269
342872856
done50002798

prune751.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample865.0ms

Algorithm
intervals
Results
457.0ms10706×body80valid