Details

Time bar (total: 25.9s)

sample166.0ms

Algorithm
intervals
Results
61.0ms821×body80nan
19.0ms19×body1280valid
16.0ms181×body80valid
13.0ms28×body640valid
5.0ms21×body320valid
1.0ms9×body160valid

simplify423.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01213
12212
23812
35212
46012
57712
610512
715412
819812
922112
1023912
1124012
done24012

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma x (log y) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.3b
(fma x (log y) (* z (log (- 1.0 y))))
5.6b
(log (- 1.0 y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
16×add-cube-cbrt
15×log-prod
9×prod-diff
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-neg associate-*l*
2×log-div flip3-- log-pow flip-- fma-udef
1×sub-neg diff-log rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 88
Calls
4 calls:
14.0ms
(- (fma x (log y) (* z (log (- 1.0 y)))) t)
20.0ms
(* z (log (- 1.0 y)))
0.0ms
(fma x (log y) (* z (log (- 1.0 y))))
7.0ms
(log (- 1.0 y))

series459.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(- (fma x (log y) (* z (log (- 1.0 y)))) t)
93.0ms
(* z (log (- 1.0 y)))
126.0ms
(fma x (log y) (* z (log (- 1.0 y))))
91.0ms
(log (- 1.0 y))

simplify2.9s

Counts
100 → 100
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02041528
14581378
210691218
328481112
done50001079

prune439.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* (/ (* z (pow y 2)) (pow 1.0 2)) -1/2))) t)
0.2b
(fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* (/ (* z (pow y 2)) (pow 1.0 2)) -1/2)))
6.7b
(* z (pow y 2))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×prod-diff
8×add-exp-log associate-*r*
5×add-cbrt-cube add-log-exp
4×unpow-prod-down unswap-sqr
3×pow1 expm1-log1p-u fma-neg associate-*l* prod-exp log1p-expm1-u
2×fma-udef unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log pow-exp associate--l+ *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
3 → 68
Calls
3 calls:
14.0ms
(- (fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* (/ (* z (pow y 2)) (pow 1.0 2)) -1/2))) t)
1.0ms
(fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* (/ (* z (pow y 2)) (pow 1.0 2)) -1/2)))
25.0ms
(* z (pow y 2))

series514.0ms

Counts
3 → 9
Calls
3 calls:
296.0ms
(- (fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* (/ (* z (pow y 2)) (pow 1.0 2)) -1/2))) t)
182.0ms
(fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* (/ (* z (pow y 2)) (pow 1.0 2)) -1/2)))
35.0ms
(* z (pow y 2))

simplify2.8s

Counts
77 → 77
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01351867
12891707
26651513
323851332
done50001293

prune403.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* (/ (* z (pow y 2)) (pow 1.0 2)) -1/2))))
6.7b
(* z (pow y 2))
6.7b
(* z (pow y 2))
6.7b
(* z (pow y 2))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×associate-*r*
19×add-exp-log
14×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down unswap-sqr
10×add-cbrt-cube
9×associate-*l* prod-exp
6×unpow2 sqr-pow
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow-to-exp pow-exp *-commutative cbrt-unprod
1×pow1/3
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt (fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* (/ (* z (pow y 2)) (pow 1.0 2)) -1/2))))
13.0ms
(* z (pow y 2))
12.0ms
(* z (pow y 2))
24.0ms
(* z (pow y 2))

series1.4s

Counts
4 → 12
Calls
4 calls:
1.3s
(cbrt (fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* (/ (* z (pow y 2)) (pow 1.0 2)) -1/2))))
53.0ms
(* z (pow y 2))
53.0ms
(* z (pow y 2))
59.0ms
(* z (pow y 2))

simplify1.9s

Counts
112 → 112
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01211263
12551188
25921037
317241027
done50001004

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize86.0ms

Local error

Found 4 expressions with local error:

6.7b
(* z (pow y 2))
6.7b
(* z (pow y 2))
6.7b
(* z (pow y 2))
6.7b
(* z (pow y 2))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
32×associate-*r*
24×add-exp-log
16×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
12×associate-*l* prod-exp add-cbrt-cube
8×unpow2 sqr-pow
4×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
4 → 116
Calls
4 calls:
30.0ms
(* z (pow y 2))
18.0ms
(* z (pow y 2))
12.0ms
(* z (pow y 2))
13.0ms
(* z (pow y 2))

series206.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* z (pow y 2))
49.0ms
(* z (pow y 2))
46.0ms
(* z (pow y 2))
57.0ms
(* z (pow y 2))

simplify4.6s

Counts
128 → 128
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
053976
1109884
2237752
3672752
43356740
done5001740

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes376.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
025128
130128
done30128

end0.0ms

sample6.8s

Algorithm
intervals
Results
3.2s23761×body80nan
675.0ms5517×body80valid
569.0ms893×body640valid
510.0ms426×body1280valid
326.0ms738×body320valid
96.0ms469×body160valid