Details

sample194.0ms

Algorithm

intervals

Results

68.0ms	691×	body	80	nan
20.0ms	197×	body	80	valid
13.0ms	23×	body	640	valid
11.0ms	9×	body	1280	valid
5.0ms	15×	body	320	valid
3.0ms	12×	body	160	valid

simplify334.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	30	13
3	38	13
4	44	13
5	59	13
6	83	13
7	105	13
8	124	13
9	132	13
10	139	13
11	140	13
done	140	13

prune5.0ms

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))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`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 → 86

Calls

4 calls:

43.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
20.0ms	(* z (log (- 1.0 y)))
10.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series386.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
87.0ms	(* z (log (- 1.0 y)))
46.0ms	(* x (log y))
87.0ms	(log (- 1.0 y))

simplify2.0s

Counts

98 → 98

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	209	1141
1	437	1103
2	1047	983
3	2659	953
done	5000	952

prune442.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
53×	`*-un-lft-identity`
50×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`log-prod` `unpow2` `sqr-pow`
19×	`unswap-sqr`
16×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cbrt-cube`
12×	`pow1` `prod-exp` `associate--l+`
10×	`associate-+r+`
9×	`div-exp` `associate-l`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`sub-neg` `cbrt-unprod`
3×	`associate-r/` `pow-prod-down` `-commutative`
2×	`log-pow` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 195

Calls

4 calls:

18.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
56.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
87.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
10.0ms	(* x (log y))

series493.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
68.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
165.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
63.0ms	(* x (log y))

simplify1.5s

Counts

207 → 207

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	376	3213
1	830	2930
2	1994	2558
done	5000	2522

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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)

rewrite16.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt y) (cbrt y))
279.0ms	(cbrt y)
305.0ms	(cbrt y)
323.0ms	(cbrt y)

simplify5.1s

Counts

85 → 85

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune669.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 72

Calls

4 calls:

40.0ms	(* (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
22.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
17.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
38.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series2.0s

Counts

4 → 12

Calls

4 calls:

624.0ms	(* (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
449.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
500.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
454.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	220	4335
1	567	4002
2	1777	3711
done	5001	3192

prune737.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes391.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	35
1	33	35
done	33	35

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.1s	24276×	body	80	nan
875.0ms	5587×	body	80	valid
411.0ms	857×	body	640	valid
385.0ms	396×	body	1280	valid
253.0ms	743×	body	320	valid
72.0ms	450×	body	160	valid