Details

Time bar (total: 17.3s)

sample43.0ms

Algorithm
intervals
Results
12.0ms258×body80valid
10.0ms257×body80nan

simplify970.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (157.0ms)

IterNodesCost
01012
12112
26312
320612
4106811
done500011

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(- (+ y x) (fma (+ y 0.5) (log y) z))
0.1b
(fma (+ y 0.5) (log y) z)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
12×add-sqr-sqrt prod-diff
10×add-cube-cbrt
7×add-log-exp
5×distribute-lft-out
4×fma-neg
2×pow1 add-exp-log expm1-log1p-u diff-log add-cbrt-cube fma-udef log1p-expm1-u distribute-lft-out--
1×sub-neg flip3-- associate--l+ sum-log flip-- associate--r+ difference-of-squares
Counts
2 → 46
Calls
2 calls:
64.0ms
(- (+ y x) (fma (+ y 0.5) (log y) z))
1.0ms
(fma (+ y 0.5) (log y) z)

series131.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(- (+ y x) (fma (+ y 0.5) (log y) z))
48.0ms
(fma (+ y 0.5) (log y) z)

simplify928.0ms

Counts
52 → 52
Iterations

Useful iterations: done (923.0ms)

IterNodesCost
01031312
1243939
21030849
done5001819

prune197.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 1 (+ y x) (- (fma (+ y 0.5) (log y) z)))
0.1b
(fma (+ y 0.5) (log y) z)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma 1 (+ y x) (- (fma (+ y 0.5) (log y) z)))
0.0ms
(fma (+ y 0.5) (log y) z)

series150.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(fma 1 (+ y x) (- (fma (+ y 0.5) (log y) z)))
56.0ms
(fma (+ y 0.5) (log y) z)

simplify3.2s

Counts
26 → 26
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
061368
1137331
2599281
34635278
done5000278

prune168.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
0.6b
(cbrt (fma (+ y 0.5) (log y) z))
0.6b
(cbrt (fma (+ y 0.5) (log y) z))
0.6b
(cbrt (fma (+ y 0.5) (log y) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
17.0ms
(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
1.0ms
(cbrt (fma (+ y 0.5) (log y) z))
1.0ms
(cbrt (fma (+ y 0.5) (log y) z))
1.0ms
(cbrt (fma (+ y 0.5) (log y) z))

series2.4s

Counts
4 → 12
Calls
4 calls:
1.2s
(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
369.0ms
(cbrt (fma (+ y 0.5) (log y) z))
425.0ms
(cbrt (fma (+ y 0.5) (log y) z))
407.0ms
(cbrt (fma (+ y 0.5) (log y) z))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02042843
16402677
234292497
done50012341

prune607.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
0.6b
(cbrt (fma (+ y 0.5) (log y) z))
0.6b
(cbrt (fma (+ y 0.5) (log y) z))
0.6b
(cbrt (fma (+ y 0.5) (log y) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
22.0ms
(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
2.0ms
(cbrt (fma (+ y 0.5) (log y) z))
2.0ms
(cbrt (fma (+ y 0.5) (log y) z))
2.0ms
(cbrt (fma (+ y 0.5) (log y) z))

series2.4s

Counts
4 → 12
Calls
4 calls:
1.4s
(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
386.0ms
(cbrt (fma (+ y 0.5) (log y) z))
307.0ms
(cbrt (fma (+ y 0.5) (log y) z))
305.0ms
(cbrt (fma (+ y 0.5) (log y) z))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02042843
16402677
234292497
done50012341

prune504.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes101.0ms

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
01113
11513
done1513

end0.0ms

sample1.9s

Algorithm
intervals
Results
669.0ms8044×body80valid
506.0ms8226×body80nan
0.0ms1×body640valid
0.0ms2×body160valid