Details

Time bar (total: 15.7s)

sample58.0ms

Algorithm
intervals
Results
16.0ms294×body80valid
13.0ms341×body80nan

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01516
13016
28316
322416
461816
5160016
6320716
done500016

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a 0.5) b)
0.0b
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite366.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
10×sum-log
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*l/ flip-- associate--r+
4×frac-add
3×associate-+l+
2×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l- flip3-+ log-pow flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
10.0ms
(* (- a 0.5) b)
266.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
83.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series230.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (- a 0.5) b)
126.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
34.0ms
(- (+ (+ x y) z) (* z (log t)))
40.0ms
(* z (log t))

simplify624.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
02041549
15271433
220911351
done50001351

prune303.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (log (cbrt t)))
0.3b
(* (* 2 (log (cbrt t))) z)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×pow1 cbrt-prod log-prod
11×add-exp-log add-cbrt-cube
8×associate-*r*
6×distribute-rgt-in distribute-lft-in
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 72
Calls
4 calls:
5.0ms
(* z (log (cbrt t)))
8.0ms
(* (* 2 (log (cbrt t))) z)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series565.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* z (log (cbrt t)))
129.0ms
(* (* 2 (log (cbrt t))) z)
170.0ms
(cbrt t)
174.0ms
(cbrt t)

simplify1.7s

Counts
84 → 84
Iterations

Useful iterations: 3 (731.0ms)

IterNodesCost
0110670
1225632
2691528
32788518
done5000518

prune332.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2 (log (cbrt t))) z)
0.3b
(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 63
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt t))) z)
9.0ms
(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series624.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (* 2 (log (cbrt t))) z)
135.0ms
(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
182.0ms
(cbrt t)
184.0ms
(cbrt t)

simplify4.1s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
0123811
1296731
2944543
34870471
done5000471

prune327.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))) (* (- a 0.5) b))
0.1b
(- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t))))))
0.4b
(* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))
0.6b
(cbrt (- t))

rewrite373.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
12×pow1
10×cbrt-prod sum-log
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×diff-log associate-*r*
5×flip3-- pow-prod-down flip--
4×log-prod associate-*l/ frac-add
3×distribute-lft-neg-in associate-+l+ distribute-rgt-neg-in pow1/3 prod-exp log-pow cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in associate--l+ associate--r+
1×+-commutative associate-+l- neg-mul-1 flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 80
Calls
4 calls:
271.0ms
(+ (- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))) (* (- a 0.5) b))
84.0ms
(- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t))))))
15.0ms
(* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))
1.0ms
(cbrt (- t))

series956.0ms

Counts
4 → 12
Calls
4 calls:
433.0ms
(+ (- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))) (* (- a 0.5) b))
165.0ms
(- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t))))))
166.0ms
(* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))
192.0ms
(cbrt (- t))

simplify785.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (269.0ms)

IterNodesCost
02002137
15521953
223411837
done50001837

prune355.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes344.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02025
12725
done2725

end0.0ms

sample1.5s

Algorithm
intervals
Results
442.0ms9173×body80valid
358.0ms9022×body80nan
0.0ms2×body320valid
0.0ms1×body640valid