Details

Time bar (total: 11.5s)

sample54.0ms

Algorithm
intervals
Results
14.0ms297×body80valid
13.0ms326×body80nan

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01516
13016
28316
322516
462716
5170016
6348716
done500016

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- a 0.5) b)
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.2b
(* z (log t))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×log-prod add-log-exp
11×add-cube-cbrt
8×pow1 associate-*l*
7×add-exp-log associate-*r* add-cbrt-cube
6×distribute-rgt-in distribute-lft-in associate--r+
3×diff-log sum-log
2×flip3-- pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg associate--l+ log-pow distribute-lft-out-- difference-of-squares
Counts
3 → 68
Calls
3 calls:
10.0ms
(* (- a 0.5) b)
85.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series99.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (- a 0.5) b)
36.0ms
(- (+ (+ x y) z) (* z (log t)))
35.0ms
(* z (log t))

simplify536.0ms

Counts
77 → 77
Iterations

Useful iterations: done (534.0ms)

IterNodesCost
0154745
1346704
21391636
done5000629

prune206.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (log (cbrt t)))
0.2b
(* (* 2 (log (cbrt t))) z)
0.5b
(cbrt t)
0.5b
(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)
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series593.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* z (log (cbrt t)))
145.0ms
(* (* 2 (log (cbrt t))) z)
191.0ms
(cbrt t)
170.0ms
(cbrt t)

simplify2.7s

Counts
84 → 84
Iterations

Useful iterations: 3 (493.0ms)

IterNodesCost
0110670
1231634
2946527
33862518
done5000518

prune350.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (pow t 1/3))) z)
0.2b
(* z (log (cbrt t)))
0.5b
(cbrt t)
5.1b
(pow t 1/3)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×pow1
12×add-exp-log log-prod
11×add-cbrt-cube
9×cbrt-prod
8×associate-*r*
6×distribute-rgt-in distribute-lft-in
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unpow-prod-down pow-unpow
2×pow1/3 log-pow *-commutative
1×pow-to-exp pow-pow unpow1/3 pow-exp unswap-sqr sqr-pow
Counts
4 → 79
Calls
4 calls:
10.0ms
(* (* 2 (log (pow t 1/3))) z)
5.0ms
(* z (log (cbrt t)))
0.0ms
(cbrt t)
1.0ms
(pow t 1/3)

series520.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* 2 (log (pow t 1/3))) z)
87.0ms
(* z (log (cbrt t)))
165.0ms
(cbrt t)
165.0ms
(pow t 1/3)

simplify602.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
0142745
1299649
21201548
done5001548

prune367.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (cbrt t))) z)
0.2b
(* z (* -1/3 (- (log t))))
0.4b
(* -1/3 (- (log t)))
0.5b
(cbrt t)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×pow1 log-prod distribute-neg-in
17×add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-*r* add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
7×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×distribute-lft-neg-in distribute-rgt-neg-in add-log-exp
3×cbrt-prod *-commutative distribute-rgt-neg-out
2×log-pow
1×neg-mul-1 pow1/3 unswap-sqr
Counts
4 → 94
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt t))) z)
11.0ms
(* z (* -1/3 (- (log t))))
7.0ms
(* -1/3 (- (log t)))
1.0ms
(cbrt t)

series476.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (* 2 (log (cbrt t))) z)
47.0ms
(* z (* -1/3 (- (log t))))
138.0ms
(* -1/3 (- (log t)))
170.0ms
(cbrt t)

simplify846.0ms

Counts
106 → 106
Iterations

Useful iterations: done (844.0ms)

IterNodesCost
0176982
1427899
21774678
done5000666

prune332.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes343.0ms

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
02326
13026
done3026

end0.0ms

sample1.5s

Algorithm
intervals
Results
443.0ms9242×body80valid
374.0ms9603×body80nan
0.0ms1×body1280valid