Details

Time bar (total: 24.0s)

sample69.0ms

Algorithm
intervals
Results
22.0ms258×body80valid
20.0ms283×body80nan

simplify4.3s

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

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))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
21×add-sqr-sqrt
17×add-cube-cbrt add-log-exp
15×prod-diff
7×distribute-lft-out
6×pow1 log-prod
5×associate-+l+ add-cbrt-cube diff-log add-exp-log
4×sum-log fma-neg associate-*r* associate-*l*
3×distribute-rgt-in expm1-log1p-u fma-def distribute-lft-in insert-posit16 log1p-expm1-u
2×sub-neg flip3-+ associate-*l/ associate-+l- flip-+ distribute-lft-out--
1×associate--l- +-commutative flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod flip-- difference-of-squares unswap-sqr
Counts
3 → 94
Calls
3 calls:
230.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
50.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
43.0ms
(* (+ y 0.5) (log y))

series458.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
61.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
330.0ms
(* (+ y 0.5) (log y))

simplify1.7s

Counts
103 → 103
Iterations
IterNodes
done5000
21373
1476
0182

prune506.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

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))
33.1b
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

rewrite94.0ms

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:
20.0ms
(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
32.0ms
(* (log y) (+ y 0.5))
39.0ms
(* (log y) (+ y 0.5))
0.0ms
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

series1.2s

Counts
4 → 12
Calls
4 calls:
107.0ms
(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
374.0ms
(* (log y) (+ y 0.5))
365.0ms
(* (log y) (+ y 0.5))
328.0ms
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

simplify1.5s

Counts
99 → 99
Iterations
IterNodes
done5000
21490
1351
0123

prune636.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(* (cbrt y) (cbrt y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 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 → 85
Calls
4 calls:
2.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
30.0ms
(* (cbrt y) (cbrt y))

series1.1s

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt y)
255.0ms
(cbrt y)
263.0ms
(cbrt y)
312.0ms
(* (cbrt y) (cbrt y))

simplify2.9s

Counts
97 → 97
Iterations
IterNodes
done5001
43715
3990
2377
1142
067

prune510.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (log (cbrt y)))
0.2b
(+ (* (+ y 0.5) (log (pow y 2/3))) (* (+ y 0.5) (log (cbrt y))))
0.5b
(cbrt y)
6.0b
(pow y 2/3)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
38×log-prod
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
19×distribute-rgt-in distribute-lft-in
15×cbrt-prod
14×associate-+l+
12×associate-+r+
10×associate-*l/
9×unpow-prod-down
8×pow1
7×add-exp-log
6×flip3-+ add-cbrt-cube flip-+ add-log-exp
5×associate-*r*
4×expm1-log1p-u associate-*l* frac-add insert-posit16 log1p-expm1-u
3×pow-unpow sqr-pow
2×pow1/3 log-pow distribute-lft-out
1×pow-to-exp +-commutative sum-log pow-pow fma-def pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 118
Calls
4 calls:
37.0ms
(* (+ y 0.5) (log (cbrt y)))
28.0ms
(+ (* (+ y 0.5) (log (pow y 2/3))) (* (+ y 0.5) (log (cbrt y))))
1.0ms
(cbrt y)
3.0ms
(pow y 2/3)

series3.6s

Counts
4 → 12
Calls
4 calls:
653.0ms
(* (+ y 0.5) (log (cbrt y)))
2.4s
(+ (* (+ y 0.5) (log (pow y 2/3))) (* (+ y 0.5) (log (cbrt y))))
251.0ms
(cbrt y)
263.0ms
(pow y 2/3)

simplify2.0s

Counts
130 → 130
Iterations
IterNodes
done5001
22518
1767
0247

prune934.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes323.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.5s

Algorithm
intervals
Results
680.0ms8039×body80valid
495.0ms8068×body80nan