Details

sample209.0ms

Algorithm

intervals

Results

83.0ms	799×	body	80	nan
20.0ms	193×	body	80	valid
13.0ms	25×	body	640	valid
7.0ms	22×	body	320	valid
5.0ms	5×	body	1280	valid
3.0ms	14×	body	160	valid

simplify7.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	26	17
2	49	17
3	116	17
4	241	17
5	506	17
6	1039	17
7	1619	17
8	2053	17
9	2158	17
done	2158	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
4.5b	(log (- 1.0 y))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`log-prod`
8×	`add-cube-cbrt` `add-log-exp`
7×	`pow1`
6×	`add-exp-log`
5×	`associate-l` `add-cbrt-cube`
4×	`associate-r`
3×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`log-div` `diff-log` `associate-*l/` `log-pow`
1×	`sub-neg` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

135.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
24.0ms	(* (- x 1.0) (log y))
21.0ms	(log (- 1.0 y))

series386.0ms

Counts

3 → 9

Calls

3 calls:

223.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
97.0ms	(* (- x 1.0) (log y))
66.0ms	(log (- 1.0 y))

simplify3.0s

Counts

70 → 70

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	179	996
1	387	959
2	1138	857
3	4171	836
done	5000	835

prune353.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (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 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.1b	(* (- x 1.0) (log y))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 223

Calls

4 calls:

45.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
61.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
129.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
56.0ms	(* (- x 1.0) (log y))

series504.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
84.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
98.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
97.0ms	(* (- x 1.0) (log y))

simplify1.3s

Counts

235 → 235

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	496	5887
1	1289	5333
done	5000	4978

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt y))) (- x 1.0))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`cbrt-prod` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
5×	`flip3--` `associate-r` `flip--`
4×	`associate-+l+` `associate-+r+` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

49.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
51.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
448.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
235.0ms	(cbrt y)
270.0ms	(cbrt y)

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	154	1272
1	454	1086
2	1858	896
done	5002	864

prune657.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt y))) (- x 1.0))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow y 1/3)) (- x 1.0)))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `-un-lft-identity` `associate-r/`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
5×	`flip3--` `associate-r` `flip--`
4×	`associate-+l+` `associate-+r+` `frac-add`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow-to-exp` `distribute-rgt-out` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

38.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
43.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow y 1/3)) (- x 1.0)))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
647.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow y 1/3)) (- x 1.0)))
268.0ms	(cbrt y)
251.0ms	(pow y 1/3)

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	190	1384
1	536	1187
2	2094	969
done	5000	947

prune707.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes260.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	41
1	38	41
done	38	41

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.9s	24209×	body	80	nan
745.0ms	5843×	body	80	valid
406.0ms	815×	body	640	valid
251.0ms	272×	body	1280	valid
248.0ms	683×	body	320	valid
70.0ms	421×	body	160	valid