Details

Time bar (total: 17.3s)

sample47.0ms

Algorithm
intervals
Results
20.0ms358×body80valid

simplify192.0ms

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

localize30.0ms

Local error

Found 1 expressions with local error:

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

rewrite164.0ms

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:
136.0ms
(* (* x y) (- 1.0 y))

series311.0ms

Counts
1 → 3
Calls
1 calls:
300.0ms
(* (* x y) (- 1.0 y))

simplify1.5s

Counts
29 → 29
Iterations

Useful iterations: done (1.4s)

IterNodesCost
060303
1175294
21142254
done5000242

prune375.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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))

rewrite245.0ms

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:
214.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
8.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (- 1.0 y))

series1.2s

Counts
4 → 12
Calls
4 calls:
366.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
451.0ms
(cbrt (- 1.0 y))
167.0ms
(cbrt (- 1.0 y))
165.0ms
(cbrt (- 1.0 y))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01481569
13421431
211651360
done50001320

prune721.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.2b
(* x (* y (- 1.0 y)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
56.0ms
(* y (- 1.0 y))
58.0ms
(* x (* y (- 1.0 y)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* y (- 1.0 y))
81.0ms
(* x (* y (- 1.0 y)))

simplify847.0ms

Counts
60 → 60
Iterations

Useful iterations: done (844.0ms)

IterNodesCost
084545
1220533
2951475
done5000469

prune195.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y)) (cbrt (- 1.0 y)))
0.1b
(* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y))
0.2b
(cbrt (- 1.0 y))
5.4b
(cbrt (* (- 1.0 y) (- 1.0 y)))

rewrite393.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
50×associate-*l/
40×flip3-- flip--
36×frac-times
18×pow1 add-exp-log
12×cbrt-prod add-sqr-sqrt *-un-lft-identity associate-*r/
11×add-cbrt-cube
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
5×associate-*l*
4×add-log-exp
2×pow1/3 *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 111
Calls
4 calls:
172.0ms
(* (* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y)) (cbrt (- 1.0 y)))
62.0ms
(* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y))
7.0ms
(cbrt (- 1.0 y))
24.0ms
(cbrt (* (- 1.0 y) (- 1.0 y)))

series1.8s

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y)) (cbrt (- 1.0 y)))
1.1s
(* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y))
284.0ms
(cbrt (- 1.0 y))
290.0ms
(cbrt (* (- 1.0 y) (- 1.0 y)))

simplify4.1s

Counts
123 → 123
Iterations

Useful iterations: done (4.0s)

IterNodesCost
02542686
16572581
228502447
done50012410

prune681.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes159.0ms

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

sample2.8s

Algorithm
intervals
Results
1.9s10661×body80valid