Details

Time bar (total: 18.8s)

sample32.0ms

Algorithm
intervals
Results
9.0ms251×body80nan
9.0ms257×body80valid

simplify10.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (49.0ms)

IterNodesCost
01012
12112
26212
318312
457011
5134411
6202511
7311811
8348811
9382611
10476611
done500111

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
26×add-sqr-sqrt
22×add-cube-cbrt
20×add-log-exp
18×prod-diff
12×log-prod
7×pow1 fma-neg distribute-lft-out
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
5×associate-+l+
4×expm1-log1p-u associate-*r* associate-*l* sum-log log1p-expm1-u
3×sub-neg fma-def
2×associate-+l- flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 117
Calls
4 calls:
65.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
10.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms
(* (+ y 0.5) (log y))

series391.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
37.0ms
(- x (* (+ y 0.5) (log y)))
48.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
249.0ms
(* (+ y 0.5) (log y))

simplify753.0ms

Counts
129 → 129
Iterations

Useful iterations: done (749.0ms)

IterNodesCost
02121986
15491749
219551540
done50011539

prune290.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (log (cbrt y)))
0.3b
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
13×distribute-rgt-in distribute-lft-in
12×associate-+r+
7×pow1
6×add-exp-log flip3-+ associate-*l/ add-cbrt-cube flip-+ add-log-exp
5×associate-*r*
4×expm1-log1p-u associate-*r/ associate-*l* frac-add log1p-expm1-u
3×pow1/3
2×associate-+l+ log-pow
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 95
Calls
4 calls:
11.0ms
(* (+ y 0.5) (log (cbrt y)))
13.0ms
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.6s

Counts
4 → 12
Calls
4 calls:
457.0ms
(* (+ y 0.5) (log (cbrt y)))
802.0ms
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
184.0ms
(cbrt y)
186.0ms
(cbrt y)

simplify889.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
01731530
15081366
221811109
done50001109

prune373.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
0.5b
(cbrt (* (+ y 0.5) (log y)))
0.5b
(cbrt (* (+ y 0.5) (log y)))
0.5b
(cbrt (* (+ y 0.5) (log y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
4.0ms
(cbrt (* (+ y 0.5) (log y)))
3.0ms
(cbrt (* (+ y 0.5) (log y)))
4.0ms
(cbrt (* (+ y 0.5) (log y)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
89.0ms
(cbrt (* (+ y 0.5) (log y)))
87.0ms
(cbrt (* (+ y 0.5) (log y)))
87.0ms
(cbrt (* (+ y 0.5) (log y)))

simplify867.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (250.0ms)

IterNodesCost
02382764
16862563
231242385
done50002385

prune377.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
21×add-sqr-sqrt
18×prod-diff
17×add-cube-cbrt
12×associate-+l+
10×add-log-exp
5×fma-def
3×pow1 add-exp-log expm1-log1p-u fma-neg add-cbrt-cube fma-udef log1p-expm1-u distribute-lft-out--
2×sub-neg diff-log associate--l+ sum-log distribute-lft-out difference-of-squares
1×+-commutative associate-+l- flip3-- flip3-+ flip-- flip-+
Counts
3 → 73
Calls
3 calls:
16.0ms
(+ (- (fma y (- (log y)) y) z) x)
3.0ms
(- (fma y (- (log y)) y) z)
0.0ms
(fma y (- (log y)) y)

series380.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (- (fma y (- (log y)) y) z) x)
101.0ms
(- (fma y (- (log y)) y) z)
223.0ms
(fma y (- (log y)) y)

simplify719.0ms

Counts
82 → 82
Iterations

Useful iterations: done (717.0ms)

IterNodesCost
01261103
1300924
2982760
done5000692

prune204.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11312
done1312

end0.0ms

sample829.0ms

Algorithm
intervals
Results
274.0ms8036×body80valid
223.0ms8155×body80nan