Details

Time bar (total: 18.2s)

sample50.0ms

Algorithm
intervals
Results
11.0ms257×body80valid
11.0ms291×body80nan

simplify6.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1158
2298
3518
4968
52138
64748
713028
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- (* x (log y)) z) y)
0.0b
(- (* x (log y)) z)
0.2b
(* x (log y))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×associate--l+
22×*-un-lft-identity
20×add-cube-cbrt
18×log-prod
15×prod-diff
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
6×pow1
5×add-exp-log add-cbrt-cube
4×fma-neg diff-log associate-*r*
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
2×flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
60.0ms
(- (- (* x (log y)) z) y)
11.0ms
(- (* x (log y)) z)
21.0ms
(* x (log y))

series164.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (- (* x (log y)) z) y)
78.0ms
(- (* x (log y)) z)
49.0ms
(* x (log y))

simplify1.3s

Counts
101 → 101
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01721162
1428998
21489877
done5001824

prune288.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (log y)) (- (- z) y))
0.2b
(* x (log y))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-+r+
30×prod-diff
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
12×log-prod
10×add-log-exp
9×distribute-lft-neg-in distribute-rgt-neg-in
6×distribute-rgt-in associate-+l+ distribute-lft-in
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube
3×neg-mul-1 associate-*l* sum-log
2×expm1-log1p-u diff-log log1p-expm1-u
1×+-commutative associate-+r- sub-neg fma-def flip3-+ pow-prod-down neg-log prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 82
Calls
2 calls:
54.0ms
(+ (* x (log y)) (- (- z) y))
9.0ms
(* x (log y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* x (log y)) (- (- z) y))
46.0ms
(* x (log y))

simplify1.1s

Counts
88 → 88
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01771081
1431892
21341792
done5000740

prune238.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
59.5b
(fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
1.0ms
(fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))

series1.6s

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt y)
322.0ms
(cbrt y)
304.0ms
(cbrt y)
711.0ms
(fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: done (1.1s)

IterNodesCost
040441
172381
2232231
3946221
done5000200

prune323.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
12.0ms
(* x (log (cbrt y)))
48.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series863.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* x (log (cbrt y)))
160.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
309.0ms
(cbrt y)
235.0ms
(cbrt y)

simplify1.8s

Counts
123 → 123
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01631298
14641159
22024920
done5001862

prune646.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes121.0ms

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
01217
11517
done1517

end0.0ms

sample2.0s

Algorithm
intervals
Results
500.0ms8024×body80valid
339.0ms8004×body80nan
1.0ms2×body1280valid