Details

Time bar (total: 11.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms348×body80valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3667
4817
5887
done887

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

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:
46.0ms
(* (* x y) (- 1.0 y))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(* (* x y) (- 1.0 y))

simplify2.2s

Counts
29 → 29
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
060303
1165294
2649242
32733242
done5000242

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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:
8.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
52.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series555.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (- 1.0 y))
139.0ms
(cbrt (- 1.0 y))
126.0ms
(cbrt (- 1.0 y))
129.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify1.7s

Counts
113 → 113
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01481569
13181431
27821360
318681241
done50011212

prune488.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
4.1b
(* (* y (- 1.0 y)) x)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*r*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
24.0ms
(* y (- 1.0 y))
37.0ms
(* (* y (- 1.0 y)) x)

series118.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* y (- 1.0 y))
56.0ms
(* (* y (- 1.0 y)) x)

simplify2.3s

Counts
52 → 52
Iterations

Useful iterations: 3 (942.0ms)

IterNodesCost
079462
1187448
2597384
32589372
done5001372

prune105.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) x)
0.1b
(* y (* (- 1.0 y) x))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
35.0ms
(* (- 1.0 y) x)
61.0ms
(* y (* (- 1.0 y) x))

series76.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- 1.0 y) x)
44.0ms
(* y (* (- 1.0 y) x))

simplify2.3s

Counts
48 → 48
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
073433
1174423
2620359
32780347
done5002347

prune140.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes84.0ms

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

sample771.0ms

Algorithm
intervals
Results
327.0ms10714×body80valid