Details

Time bar (total: 11.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
62.0ms
(/ (+ x y) (- x y))

series120.0ms

Counts
1 → 3
Calls
1 calls:
119.0ms
(/ (+ x y) (- x y))

simplify3.0s

Counts
50 → 50
Iterations

Useful iterations: 3 (710.0ms)

IterNodesCost
078606
1180582
2605554
33573547
done5000547

prune135.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))
0.5b
(expm1 (/ (+ x y) (- x y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out-- difference-of-squares
4×log1p-expm1-u associate-/l*
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 69
Calls
3 calls:
1.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
52.0ms
(/ (+ x y) (- x y))
1.0ms
(expm1 (/ (+ x y) (- x y)))

series377.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
93.0ms
(/ (+ x y) (- x y))
141.0ms
(expm1 (/ (+ x y) (- x y)))

simplify2.6s

Counts
78 → 78
Iterations

Useful iterations: 3 (714.0ms)

IterNodesCost
0101865
1218813
2647757
33230748
done5000748

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
52.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
9.0ms
(cbrt (+ x y))
8.0ms
(cbrt (+ x y))
13.0ms
(cbrt (+ x y))

series779.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
192.0ms
(cbrt (+ x y))
212.0ms
(cbrt (+ x y))
160.0ms
(cbrt (+ x y))

simplify758.0ms

Counts
115 → 115
Iterations

Useful iterations: done (755.0ms)

IterNodesCost
01201316
12881186
211681128
done50001104

prune270.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite61.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
45.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))

series777.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
195.0ms
(cbrt (- x y))
218.0ms
(cbrt (- x y))
195.0ms
(cbrt (- x y))

simplify1.0s

Counts
121 → 121
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01351434
12951320
210331262
done50001209

prune302.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample567.0ms

Algorithm
intervals
Results
279.0ms8000×body80valid