Details

Time bar (total: 11.7s)

sample29.0ms

Algorithm
intervals
Results
12.0ms326×body80valid

simplify93.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41027
51137
done1137

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
51.0ms
(* (* x y) (- 1.0 y))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* (* x y) (- 1.0 y))

simplify620.0ms

Counts
29 → 29
Iterations

Useful iterations: done (618.0ms)

IterNodesCost
060303
1175294
21142254
done5000242

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 101
Calls
4 calls:
49.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
6.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))

series534.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
127.0ms
(cbrt (- 1.0 y))
113.0ms
(cbrt (- 1.0 y))
139.0ms
(cbrt (- 1.0 y))

simplify827.0ms

Counts
113 → 113
Iterations

Useful iterations: done (823.0ms)

IterNodesCost
01481569
13421431
211651360
done50001320

prune445.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
24×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×flip3-- flip--
8×add-cube-cbrt
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*r/ associate-*l/
Counts
4 → 65
Calls
4 calls:
10.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (cbrt (- 1.0 y)))
23.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

series519.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (- 1.0 y))
109.0ms
(cbrt (- 1.0 y))
120.0ms
(cbrt (cbrt (- 1.0 y)))
151.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

simplify2.8s

Counts
77 → 77
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01941201
14081151
211621090
345691029
done50021011

prune413.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-div
20×cbrt-prod
14×flip3-- flip--
11×add-sqr-sqrt *-un-lft-identity
8×frac-times
7×add-cube-cbrt
4×pow1 add-exp-log pow1/3 associate-*r/ associate-*l/ add-cbrt-cube add-log-exp
2×distribute-lft-out-- difference-of-squares
Counts
4 → 67
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (cbrt (- 1.0 y)))
15.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
31.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

series478.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (- 1.0 y))
95.0ms
(cbrt (cbrt (- 1.0 y)))
135.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
156.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

simplify3.1s

Counts
79 → 79
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01941409
14081358
211621287
345691240
done50021228

prune469.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes111.0ms

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

sample843.0ms

Algorithm
intervals
Results
423.0ms10693×body80valid