Details

Time bar (total: 7.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2317
3577
4667
5727
done727

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))

rewrite13.0ms

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:
13.0ms
(* (* x y) (- 1.0 y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (* x y) (- 1.0 y))

simplify2.1s

Counts
29 → 29
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
060303
1166294
2702242
33613242
done5001242

prune49.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
20.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (- 1.0 y))
88.0ms
(cbrt (- 1.0 y))
87.0ms
(cbrt (- 1.0 y))
109.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify1.8s

Counts
113 → 113
Iterations

Useful iterations: 3 (592.0ms)

IterNodesCost
01481569
13181431
29091360
335801241
done50001241

prune298.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.3b
(cbrt (* (* x y) (- 1.0 y)))
9.3b
(cbrt (* (* x y) (- 1.0 y)))
9.3b
(cbrt (* (* x y) (- 1.0 y)))

rewrite38.0ms

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:
12.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
135.0ms
(cbrt (* (* x y) (- 1.0 y)))
139.0ms
(cbrt (* (* x y) (- 1.0 y)))
133.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify680.0ms

Counts
84 → 84
Iterations

Useful iterations: done (677.0ms)

IterNodesCost
01671989
14011858
212111693
done50001472

prune236.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

11.2b
(* x (pow y 2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(* x (pow y 2))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* x (pow y 2))

simplify1.2s

Counts
30 → 30
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
051232
1108209
2361176
31363176
done5001176

prune55.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes76.0ms

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

sample338.0ms

Algorithm
intervals
Results
185.0ms10754×body80valid