Details

Time bar (total: 6.2s)

sample28.0ms

Algorithm
intervals
Results
8.0ms252×body80valid
2.0ms14×body640valid
1.0ms14×body320valid
1.0ms8×body1280valid
1.0ms10×body160valid

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514986
634106
750016
done50016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- t x))
2.7b
(+ x (/ (* (- y z) (- t x)) (- a z)))
19.3b
(/ (* (- y z) (- t x)) (- a z))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
36.0ms
(* (- y z) (- t x))
20.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
28.0ms
(/ (* (- y z) (- t x)) (- a z))

series338.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* (- y z) (- t x))
164.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
135.0ms
(/ (* (- y z) (- t x)) (- a z))

simplify53.0ms

Counts
90 → 90
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0466583
12158534
25001534
done5001534

prune221.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
1.4b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
9.0b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
4.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
129.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series753.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- a z))
143.0ms
(cbrt (- a z))
296.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
169.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify84.0ms

Counts
146 → 146
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07441831
132871663
250011576
done50011576

prune439.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
0.8b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
8.6b
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
36×cbrt-div
26×add-sqr-sqrt
22×add-cbrt-cube
17×associate-*l*
16×*-un-lft-identity times-frac associate-*r* associate-/r/
15×prod-exp cbrt-unprod
14×flip3-- flip--
13×cbrt-prod
12×cbrt-undiv div-exp
10×add-cube-cbrt
9×frac-times
6×pow1 add-log-exp unswap-sqr
5×associate-*r/ associate-*l/
3×distribute-lft-out-- difference-of-squares
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 110
Calls
4 calls:
4.0ms
(cbrt (- t x))
4.0ms
(cbrt (- t x))
136.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
8.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

series813.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- t x))
152.0ms
(cbrt (- t x))
335.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
175.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

simplify89.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08382470
133182130
250012090
done50012090

prune544.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
9.8b
(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
4.0ms
(cbrt (- t x))
4.0ms
(cbrt (- t x))
4.0ms
(cbrt (- t x))
11.0ms
(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- t x))
151.0ms
(cbrt (- t x))
149.0ms
(cbrt (- t x))
174.0ms
(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

simplify37.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0266944
1851858
25002847
done5002847

prune370.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.7b

regimes314.0ms

Accuracy

23.8% (6.7b remaining)

Error of 10.1b against oracle of 3.3b and baseline of 12.2b

bsearch108.0ms

Steps
ItersRangePoint
8
6.811517702932233e+229
3.7457077801543817e+233
5.857684699256402e+232
9
-2.4426674496164293e+154
-2.268832528050562e+146
-1.6791098332772648e+152

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04440
14440
done4440

end0.0ms

sample793.0ms

Algorithm
intervals
Results
244.0ms7817×body80valid
55.0ms470×body640valid
41.0ms286×body1280valid
35.0ms432×body320valid
16.0ms275×body160valid
2.0ms15×body2560valid