Details

Time bar (total: 12.4s)

sample22.0ms

Algorithm
intervals
Results
9.0ms297×body80valid
1.0ms6×body640valid
1.0ms8×body320valid
1.0ms4×body1280valid
0.0ms1×body160valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12113
24713
312413
428413
564113
6118913
7208913
8347013
done500013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
10.0ms
(- (/ 2.0 3.0) z)
10.0ms
(* (- y x) 6.0)
5.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
39.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series167.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
33.0ms
(* (- y x) 6.0)
64.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
49.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify760.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
01561335
14341273
217881163
done50011163

prune222.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
8×associate-+r+ flip3-- associate-*l* flip-- add-log-exp
7×add-cube-cbrt associate-*r*
5×difference-of-squares
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*l/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 97
Calls
4 calls:
10.0ms
(- (/ 2.0 3.0) z)
7.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
32.0ms
(* 6.0 (- (/ 2.0 3.0) z))
36.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
69.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
40.0ms
(* 6.0 (- (/ 2.0 3.0) z))
50.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify505.0ms

Counts
109 → 109
Iterations

Useful iterations: done (502.0ms)

IterNodesCost
01631524
14341470
214271352
done50001336

prune226.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.6b
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.6b
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*r/
168×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
33.0ms
(* (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
26.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
27.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
29.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

series2.3s

Counts
4 → 12
Calls
4 calls:
1.0s
(* (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
430.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
433.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
428.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

simplify624.0ms

Counts
174 → 174
Iterations

Useful iterations: 2 (214.0ms)

IterNodesCost
03507744
16747357
219587163
done50007163

prune718.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* (- y x) (* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))) (+ (/ 2.0 3.0) z)))
0.1b
(* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))
1.9b
(* (- y x) (* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))))
10.5b
(/ (* (- y x) (* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))) (+ (/ 2.0 3.0) z))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×associate-*r/
17×*-un-lft-identity
13×add-sqr-sqrt flip3-- flip--
11×pow1
10×distribute-rgt-in distribute-lft-in
9×add-cube-cbrt
8×frac-times associate-*l* associate-/l/
7×prod-exp cbrt-unprod
6×sub-neg add-log-exp
5×associate-*r*
4×times-frac pow-prod-down associate-*l/ associate-/r*
3×cbrt-undiv div-exp distribute-lft-out
2×flip3-+ associate-/r/ *-commutative flip-+ difference-of-squares
1×+-commutative frac-2neg clear-num sum-log div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 108
Calls
4 calls:
24.0ms
(+ x (/ (* (- y x) (* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))) (+ (/ 2.0 3.0) z)))
22.0ms
(* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))
39.0ms
(* (- y x) (* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))))
46.0ms
(/ (* (- y x) (* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))) (+ (/ 2.0 3.0) z))

series446.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(+ x (/ (* (- y x) (* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))) (+ (/ 2.0 3.0) z)))
72.0ms
(* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))
89.0ms
(* (- y x) (* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))))
114.0ms
(/ (* (- y x) (* 6.0 (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))) (+ (/ 2.0 3.0) z))

simplify828.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (268.0ms)

IterNodesCost
02053148
16332963
226582539
done50002539

prune293.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample561.0ms

Algorithm
intervals
Results
280.0ms9377×body80valid
32.0ms274×body640valid
19.0ms141×body1280valid
18.0ms220×body320valid
7.0ms123×body160valid