Details

sample172.0ms

Algorithm

intervals

Results

60.0ms	691×	body	80	nan
18.0ms	197×	body	80	valid
11.0ms	23×	body	640	valid
8.0ms	9×	body	1280	valid
5.0ms	15×	body	320	valid
2.0ms	12×	body	160	valid

simplify455.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	12	13
1	22	12
2	38	12
3	52	12
4	60	12
5	77	12
6	105	12
7	154	12
8	198	12
9	221	12
10	239	12
11	240	12
done	240	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
5.2b	(log (- 1.0 y))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`log-prod`
20×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `prod-diff` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 106

Calls

4 calls:

99.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
29.0ms	(* z (log (- 1.0 y)))
18.0ms	(* x (log y))
12.0ms	(log (- 1.0 y))

series338.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
91.0ms	(* z (log (- 1.0 y)))
54.0ms	(* x (log y))
67.0ms	(log (- 1.0 y))

simplify2.5s

Counts

118 → 118

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	241	1599
1	520	1423
2	1245	1242
3	3557	1137
done	5000	1137

prune604.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.3b	(* x (log y))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
80×	`times-frac`
78×	`add-cube-cbrt` `associate-r`
56×	`unpow-prod-down`
48×	`prod-diff`
40×	`distribute-rgt-in` `distribute-lft-in`
34×	`associate-+r+`
31×	`add-exp-log`
24×	`pow1` `log-prod` `unpow2` `sqr-pow`
19×	`unswap-sqr`
14×	`log-pow`
13×	`add-cbrt-cube`
12×	`prod-exp` `associate--l+`
9×	`div-exp` `associate-l`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `cbrt-unprod` `log1p-expm1-u`
3×	`associate-r/` `pow-prod-down` `-commutative`
2×	`distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 252

Calls

4 calls:

22.0ms	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
53.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
40.0ms	(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
15.0ms	(* x (log y))

series503.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
100.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
159.0ms	(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
65.0ms	(* x (log y))

simplify1.8s

Counts

264 → 264

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	449	6536
1	968	4843
2	2222	3976
done	5000	3514

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

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:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

347.0ms	(* (cbrt y) (cbrt y))
298.0ms	(cbrt y)
322.0ms	(cbrt y)
281.0ms	(cbrt y)

simplify4.9s

Counts

93 → 93

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune557.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
16.0b	(cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
16.0b	(cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
16.0b	(cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

38.0ms	(* (cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
11.0ms	(cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
8.0ms	(cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
8.0ms	(cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series2.3s

Counts

4 → 12

Calls

4 calls:

562.0ms	(* (cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
425.0ms	(cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
899.0ms	(cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
440.0ms	(cbrt (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify961.0ms

Counts

92 → 92

Iterations

Useful iterations: done (954.0ms)

Iter	Nodes	Cost
0	223	4372
1	575	4011
2	1764	3713
done	5001	3190

prune644.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes206.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	33
1	27	33
done	27	33

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.7s	24276×	body	80	nan
520.0ms	5587×	body	80	valid
401.0ms	857×	body	640	valid
329.0ms	396×	body	1280	valid
194.0ms	743×	body	320	valid
98.0ms	450×	body	160	valid