Details

Time bar (total: 20.8s)

sample79.0ms

Algorithm
intervals
Results
30.0ms258×body80valid
23.0ms236×body80nan

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5000
64166
52057
4627
3203
263
121
010

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×prod-diff add-cube-cbrt
4×add-log-exp
3×fma-neg
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef insert-posit16 log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
10.0ms
(- x (fma (log y) (+ 0.5 y) (- z y)))
1.0ms
(fma (log y) (+ 0.5 y) (- z y))

series140.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(- x (fma (log y) (+ 0.5 y) (- z y)))
58.0ms
(fma (log y) (+ 0.5 y) (- z y))

simplify2.7s

Counts
47 → 47
Iterations
IterNodes
done5011
32510
2637
1239
0103

prune331.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite263.0ms

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×distribute-rgt-in distribute-lft-in add-cbrt-cube diff-log add-exp-log associate--r+
5×associate-+l+
4×expm1-log1p-u sum-log associate-*r* associate-*l* insert-posit16 log1p-expm1-u
3×sub-neg fma-def
2×flip3-+ flip3-- associate-*l/ associate-+l- flip-+ flip-- distribute-lft-out--
1×associate--l- +-commutative pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 121
Calls
4 calls:
12.0ms
(- x (* (+ y 0.5) (log y)))
188.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
27.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
32.0ms
(* (+ y 0.5) (log y))

series531.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- x (* (+ y 0.5) (log y)))
68.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
72.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
339.0ms
(* (+ y 0.5) (log y))

simplify1.7s

Counts
133 → 133
Iterations
IterNodes
done5003
21721
1572
0217

prune584.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
0.1b
(* (log y) (+ y 0.5))
0.1b
(* (log y) (+ y 0.5))
30.6b
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
13×add-sqr-sqrt
10×pow1
9×add-cube-cbrt add-log-exp
8×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×distribute-lft-out
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u
3×sum-log fma-def flip3-+ flip-+
2×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp log-pow *-commutative cbrt-unprod fma-udef unswap-sqr
1×+-commutative associate-+l+ associate-+r+
Counts
4 → 87
Calls
4 calls:
12.0ms
(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
27.0ms
(* (log y) (+ y 0.5))
15.0ms
(* (log y) (+ y 0.5))
0.0ms
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

series1.3s

Counts
4 → 12
Calls
4 calls:
115.0ms
(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
415.0ms
(* (log y) (+ y 0.5))
424.0ms
(* (log y) (+ y 0.5))
361.0ms
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

simplify1.4s

Counts
99 → 99
Iterations
IterNodes
done5000
21490
1351
0123

prune635.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (fma 1 x (- (+ (* y (log y)) (* 0.5 (log y))))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
0.1b
(* (log y) (+ y 0.5))
0.2b
(* y (log y))
30.6b
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
15×add-sqr-sqrt
11×add-cube-cbrt
10×pow1
9×add-log-exp
8×add-cbrt-cube associate-*r* add-exp-log
7×associate-*l*
6×log-prod
4×distribute-rgt-in expm1-log1p-u distribute-lft-in insert-posit16 log1p-expm1-u distribute-lft-out
3×sum-log fma-def
2×flip3-+ pow-prod-down prod-exp associate-*r/ log-pow *-commutative cbrt-unprod flip-+ fma-udef unswap-sqr
1×+-commutative associate-+l+ associate-+r+
Counts
4 → 88
Calls
4 calls:
21.0ms
(+ (fma 1 x (- (+ (* y (log y)) (* 0.5 (log y))))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
29.0ms
(* (log y) (+ y 0.5))
21.0ms
(* y (log y))
1.0ms
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

series1.0s

Counts
4 → 12
Calls
4 calls:
86.0ms
(+ (fma 1 x (- (+ (* y (log y)) (* 0.5 (log y))))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
341.0ms
(* (log y) (+ y 0.5))
287.0ms
(* y (log y))
300.0ms
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

simplify2.0s

Counts
100 → 100
Iterations
IterNodes
done5004
21800
1436
0161

prune583.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done41
241
130
018

end0.0ms

sample2.4s

Algorithm
intervals
Results
849.0ms8042×body80valid
757.0ms8234×body80nan
1.0ms1×body1280valid
0.0ms1×body640valid