Details

Time bar (total: 18.9s)

sample48.0ms

Algorithm
intervals
Results
23.0ms350×body80valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4849
51129
61309
71479
81889
92459
102749
113079
123439
133689
143849
154719
165629
178119
1811389
1915739
2016559
2116569
done16569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
8.2b
(/ (* y (- z x)) t)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
19.0ms
(+ x (/ (* y (- z x)) t))
41.0ms
(* y (- z x))
31.0ms
(/ (* y (- z x)) t)

series165.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ x (/ (* y (- z x)) t))
48.0ms
(* y (- z x))
63.0ms
(/ (* y (- z x)) t)

simplify3.0s

Counts
70 → 70
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
0113722
1290679
2894589
34328589
done5000589

prune220.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
2.0ms
(cbrt t)
101.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
327.0ms
(cbrt t)
346.0ms
(cbrt t)
349.0ms
(cbrt t)
159.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify1.5s

Counts
116 → 116
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune450.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- (/ z t) (/ x t))))
1.0b
(- (/ z t) (/ x t))
4.7b
(* y (- (/ z t) (/ x t)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
20×times-frac
12×associate-*r*
9×add-cube-cbrt
8×distribute-lft-out-- difference-of-squares
7×add-log-exp
5×pow1 add-exp-log sub-neg add-cbrt-cube
4×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ div-inv
3×associate-*l*
2×flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 73
Calls
3 calls:
24.0ms
(+ x (* y (- (/ z t) (/ x t))))
47.0ms
(- (/ z t) (/ x t))
114.0ms
(* y (- (/ z t) (/ x t)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ x (* y (- (/ z t) (/ x t))))
35.0ms
(- (/ z t) (/ x t))
71.0ms
(* y (- (/ z t) (/ x t)))

simplify1.4s

Counts
82 → 82
Iterations

Useful iterations: 2 (140.0ms)

IterNodesCost
01271015
1305966
2711896
32299896
done5001896

prune261.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
5.7b
(* (/ y t) (- z x))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
11.0ms
(+ x (* (/ y t) (- z x)))
50.0ms
(* (/ y t) (- z x))

series121.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ x (* (/ y t) (- z x)))
79.0ms
(* (/ y t) (- z x))

simplify3.0s

Counts
63 → 63
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
0120723
1313691
21019619
33953619
done5000619

prune176.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
11723
done1723

end0.0ms

sample1.2s

Algorithm
intervals
Results
586.0ms10660×body80valid