Details

Time bar (total: 11.1s)

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify8.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
22.0ms
(- 1.0 (/ y z))
55.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(- 1.0 (/ y z))
66.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.5s

Counts
71 → 71
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
01041002
1226974
2705928
33064928
done5001928

prune174.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.1b

localize9.0ms

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))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
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 → 210
Calls
3 calls:
16.0ms
(- 1.0 (/ y z))
58.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series248.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- 1.0 (/ y z))
163.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
65.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.0s

Counts
219 → 219
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02544188
16823692
246233580
done50003511

prune305.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.1b

localize13.0ms

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))))

rewrite201.0ms

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×associate-*r/ associate-*l/ 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 → 263
Calls
4 calls:
9.0ms
(cbrt (+ x y))
65.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
45.0ms
(/ (- 1.0 (/ y z)) (cbrt (+ x y)))
58.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- 1.0 (/ y z)) (cbrt (+ x y))))

series660.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (+ x y))
233.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
188.0ms
(/ (- 1.0 (/ y z)) (cbrt (+ x y)))
97.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- 1.0 (/ y z)) (cbrt (+ x y))))

simplify694.0ms

Counts
275 → 275
Iterations

Useful iterations: done (676.0ms)

IterNodesCost
03645834
110315512
done50005241

prune868.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.9b

localize18.0ms

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)))))

rewrite647.0ms

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×flip3-+ associate-/r/ flip-+ 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 frac-2neg distribute-lft-in unpow3 pow-prod-down clear-num sum-log *-commutative
Counts
4 → 409
Calls
4 calls:
11.0ms
(pow (/ y z) 3)
24.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
136.0ms
(/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3)))
427.0ms
(* (/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

series468.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (/ y z) 3)
57.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
138.0ms
(/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3)))
235.0ms
(* (/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

simplify731.0ms

Counts
421 → 421
Iterations

Useful iterations: done (710.0ms)

IterNodesCost
041111542
1157010255
done50019964

prune1.2s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 5.9b

regimes256.0ms

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

sample784.0ms

Algorithm
intervals
Results
364.0ms7998×body80valid
0.0ms1×body640valid
0.0ms1×body160valid