Details

sample232.0ms

Algorithm

intervals

Results

80.0ms	821×	body	80	nan
22.0ms	19×	body	1280	valid
19.0ms	181×	body	80	valid
17.0ms	28×	body	640	valid
7.0ms	21×	body	320	valid
2.0ms	9×	body	160	valid

simplify291.0ms

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: 10.4b

localize28.0ms

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))
5.6b	(log (- 1.0 y))

rewrite119.0ms

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:

70.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
21.0ms	(* z (log (- 1.0 y)))
16.0ms	(* x (log y))
10.0ms	(log (- 1.0 y))

series370.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
101.0ms	(* z (log (- 1.0 y)))
57.0ms	(* x (log y))
66.0ms	(log (- 1.0 y))

simplify2.1s

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

prune364.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))))))) t)
0.0b	(* 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)))
0.3b	(* x (log y))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

55.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
131.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
55.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
15.0ms	(* x (log y))

series559.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
162.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
69.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
65.0ms	(* x (log y))

simplify1.2s

Counts

196 → 196

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	379	3130
1	821	2908
2	1993	2493
done	5001	2443

prune915.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(* (* 2 (log (cbrt y))) x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 60

Calls

4 calls:

10.0ms	(* (log (cbrt y)) x)
32.0ms	(* (* 2 (log (cbrt y))) x)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (log (cbrt y)) x)
195.0ms	(* (* 2 (log (cbrt y))) x)
316.0ms	(cbrt y)
324.0ms	(cbrt y)

simplify3.7s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	88	525
1	196	493
2	712	406
3	2973	397
done	5001	397

prune570.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.3b	(* (log (pow (/ 1 y) -1/3)) x)
0.6b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-cbrt-cube`
9×	`times-frac`
6×	`associate-r`
5×	`associate-l`
4×	`pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow`
2×	`div-exp` `*-commutative`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `log-pow` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

54.0ms	(* (* 2 (log (cbrt y))) x)
17.0ms	(* (log (pow (/ 1 y) -1/3)) x)
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)

series935.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (* 2 (log (cbrt y))) x)
180.0ms	(* (log (pow (/ 1 y) -1/3)) x)
259.0ms	(cbrt y)
277.0ms	(pow (/ 1 y) -1/3)

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	167	855
1	363	743
2	1098	576
done	5000	538

prune647.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes331.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	37
1	40	37
done	40	37

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.9s	23761×	body	80	nan
552.0ms	5517×	body	80	valid
500.0ms	893×	body	640	valid
355.0ms	426×	body	1280	valid
260.0ms	738×	body	320	valid
80.0ms	469×	body	160	valid