Details

Time bar (total: 15.2s)

sample29.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
8.5b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
14.0ms
(- 1.0 (/ y z))
48.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- 1.0 (/ y z))
92.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.2s

Counts
117 → 117
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02202574
15222340
221511858
done50001542

prune341.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.6b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
259×times-frac
235×add-sqr-sqrt
231×*-un-lft-identity
125×add-cube-cbrt
44×difference-of-squares
39×prod-diff
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×div-inv associate-/l*
8×div-exp
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg log1p-expm1-u
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 258
Calls
3 calls:
26.0ms
(- 1.0 (/ y z))
58.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
61.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series269.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- 1.0 (/ y z))
175.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
74.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.6s

Counts
267 → 267
Iterations

Useful iterations: 2 (962.0ms)

IterNodesCost
03725784
19855079
246544440
done50004440

prune773.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.6b
(/ (- 1.0 (/ y z)) (cbrt (+ x y)))
6.3b
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- 1.0 (/ y z)) (cbrt (+ x y))))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
196×times-frac
193×add-sqr-sqrt
173×*-un-lft-identity
104×cbrt-prod
75×add-cube-cbrt
55×associate-/r*
44×difference-of-squares
32×cbrt-div
26×distribute-lft-out
22×distribute-lft-out--
20×add-exp-log
16×flip3-+ flip-+
11×pow1 add-cbrt-cube
10×associate-/l/
9×swap-sqr
8×frac-times
7×cbrt-undiv pow1/3 div-exp associate-*r* associate-*l* associate-/r/ associate-/l*
4×expm1-log1p-u associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
3×prod-exp cbrt-unprod
2×frac-2neg pow-prod-down clear-num pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus div-sub *-commutative flip--
Counts
4 → 271
Calls
4 calls:
5.0ms
(cbrt (+ x y))
60.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
51.0ms
(/ (- 1.0 (/ y z)) (cbrt (+ x y)))
84.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- 1.0 (/ y z)) (cbrt (+ x y))))

series892.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt (+ x y))
264.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
273.0ms
(/ (- 1.0 (/ y z)) (cbrt (+ x y)))
126.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- 1.0 (/ y z)) (cbrt (+ x y))))

simplify926.0ms

Counts
283 → 283
Iterations

Useful iterations: done (903.0ms)

IterNodesCost
03725928
110495590
done50005313

prune1.0s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.9b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ y z) 3)
3.4b
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
3.7b
(/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3)))
21.8b
(* (/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

rewrite699.0ms

Algorithm
rewrite-expression-head
Rules
516×add-sqr-sqrt
355×times-frac
321×*-un-lft-identity
216×difference-of-squares
175×unpow-prod-down cube-prod
138×associate-*l*
97×add-cube-cbrt
91×sqr-pow
67×distribute-lft-out
45×distribute-lft-out--
33×associate-/r*
14×add-exp-log add-cbrt-cube
9×difference-cubes
7×pow1
6×associate-*r/ add-log-exp
4×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u div-inv associate-/l*
3×cbrt-undiv frac-times pow-unpow div-exp associate-*r* frac-add
2×flip3-- associate-*l/ pow-exp prod-exp flip-- cbrt-unprod associate-/l/ rem-cube-cbrt unswap-sqr
1×+-commutative cube-div distribute-rgt-in cube-mult pow-to-exp distribute-rgt-out pow-pow fma-def frac-2neg distribute-lft-in unpow3 pow-prod-down clear-num sum-log *-commutative
Counts
4 → 418
Calls
4 calls:
7.0ms
(pow (/ y z) 3)
15.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
107.0ms
(/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3)))
514.0ms
(* (/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(pow (/ y z) 3)
77.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
178.0ms
(/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3)))
242.0ms
(* (/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

simplify1.1s

Counts
430 → 430
Iterations

Useful iterations: done (1.1s)

IterNodesCost
041911674
1159710194
done50019844

prune1.6s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 5.9b

regimes263.0ms

Accuracy

58.5% (0.9b remaining)

Error of 6.2b against oracle of 5.3b and baseline of 7.5b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02465
13157
done3157

end0.0ms

sample1.2s

Algorithm
intervals
Results
838.0ms7998×body80valid
0.0ms1×body640valid
0.0ms1×body160valid