Details

Time bar (total: 44.0s)

sample59.0ms

Algorithm
intervals
Results
13.0ms258×body80valid
12.0ms283×body80nan

simplify6.9s

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

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))

rewrite384.0ms

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:
267.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
64.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
42.0ms
(* (+ y 0.5) (log y))

series688.0ms

Counts
3 → 9
Calls
3 calls:
150.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
115.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
423.0ms
(* (+ y 0.5) (log y))

simplify3.2s

Counts
103 → 103
Iterations
IterNodes
done5002
21367
1476
0182

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize72.0ms

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)))

rewrite119.0ms

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:
46.0ms
(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
31.0ms
(* (log y) (+ y 0.5))
33.0ms
(* (log y) (+ y 0.5))
1.0ms
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

series1.9s

Counts
4 → 12
Calls
4 calls:
563.0ms
(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (+ (fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5))) y))
479.0ms
(* (log y) (+ y 0.5))
431.0ms
(* (log y) (+ y 0.5))
392.0ms
(fma (- (log y)) (+ y 0.5) (* (log y) (+ y 0.5)))

simplify2.9s

Counts
99 → 99
Iterations
IterNodes
done5002
21486
1352
0123

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize127.0ms

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))

rewrite30.0ms

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)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
21.0ms
(* (cbrt y) (cbrt y))

series1.3s

Counts
4 → 12
Calls
4 calls:
346.0ms
(cbrt y)
306.0ms
(cbrt y)
255.0ms
(cbrt y)
384.0ms
(* (cbrt y) (cbrt y))

simplify8.6s

Counts
97 → 97
Iterations
IterNodes
done5000
43777
31036
2374
1142
067

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize127.0ms

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)

rewrite105.0ms

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:
41.0ms
(* (+ y 0.5) (log (cbrt y)))
43.0ms
(+ (* (+ y 0.5) (log (pow y 2/3))) (* (+ y 0.5) (log (cbrt y))))
3.0ms
(cbrt y)
8.0ms
(pow y 2/3)

series4.5s

Counts
4 → 12
Calls
4 calls:
882.0ms
(* (+ y 0.5) (log (cbrt y)))
2.9s
(+ (* (+ y 0.5) (log (pow y 2/3))) (* (+ y 0.5) (log (cbrt y))))
332.0ms
(cbrt y)
327.0ms
(pow y 2/3)

simplify4.0s

Counts
130 → 130
Iterations
IterNodes
done5001
22540
1767
0247

prune1.7s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample2.2s

Algorithm
intervals
Results
782.0ms8068×body80nan
691.0ms8039×body80valid