Details

sample159.0ms

Algorithm

intervals

Results

52.0ms	684×	body	80	nan
15.0ms	19×	body	1280	valid
13.0ms	176×	body	80	valid
10.0ms	22×	body	640	valid
6.0ms	26×	body	320	valid
2.0ms	13×	body	160	valid

simplify560.0ms

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	90	13
7	187	13
8	611	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize14.0ms

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))
5.0b	(log (- 1.0 y))

rewrite121.0ms

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:

69.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
27.0ms	(* z (log (- 1.0 y)))
14.0ms	(* x (log y))
6.0ms	(log (- 1.0 y))

series407.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
114.0ms	(* z (log (- 1.0 y)))
53.0ms	(* x (log y))
76.0ms	(log (- 1.0 y))

simplify788.0ms

Counts

98 → 98

Iterations

Useful iterations: done (777.0ms)

Iter	Nodes	Cost
0	209	1141
1	470	1103
2	1493	985
done	5000	966

prune426.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0b	(- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b	(* x (log y))
8.1b	(* z (pow y 2))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
27×	`add-sqr-sqrt`
26×	`prod-exp`
24×	`associate-r`
17×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
16×	`associate--l+`
12×	`log-prod` `div-exp`
9×	`pow1` `associate-l`
8×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `times-frac` `pow-exp`
7×	`unpow-prod-down`
6×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
5×	`associate-*r/`
3×	`sub-neg` `*-commutative` `unpow2` `sqr-pow`
2×	`cbrt-undiv` `flip3--` `pow-prod-down` `frac-sub` `flip--`
1×	`diff-log` `log-pow` `div-inv`

Counts

4 → 118

Calls

4 calls:

34.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
20.0ms	(- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
10.0ms	(* x (log y))
14.0ms	(* z (pow y 2))

series297.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
130.0ms	(- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
51.0ms	(* x (log y))
36.0ms	(* z (pow y 2))

simplify1.6s

Counts

130 → 130

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	249	1827
1	639	1676
2	2706	1534
done	5000	1529

prune791.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
8.1b	(* z (pow y 2))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+` `log-prod`
9×	`add-exp-log`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 72

Calls

4 calls:

36.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(* z (pow y 2))

series895.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
342.0ms	(cbrt y)
290.0ms	(cbrt y)
55.0ms	(* z (pow y 2))

simplify936.0ms

Counts

84 → 84

Iterations

Useful iterations: done (933.0ms)

Iter	Nodes	Cost
0	135	822
1	337	751
2	1417	609
done	5002	598

prune703.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow y 2/3))
0.6b	(cbrt (cbrt y))
5.9b	(pow y 2/3)
8.1b	(* z (pow y 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`cbrt-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `unpow-prod-down`
8×	`associate-r`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-unpow` `associate-l` `prod-exp`
2×	`pow-to-exp` `pow1/3` `pow-exp` `unpow2`
1×	`pow-pow` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

4.0ms	(cbrt (pow y 2/3))
3.0ms	(cbrt (cbrt y))
6.0ms	(pow y 2/3)
18.0ms	(* z (pow y 2))

series1.1s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt (pow y 2/3))
414.0ms	(cbrt (cbrt y))
292.0ms	(pow y 2/3)
72.0ms	(* z (pow y 2))

simplify3.6s

Counts

85 → 85

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	129	595
1	284	539
2	881	481
3	4123	466
done	5001	452

prune819.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes339.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	49
1	45	49
done	45	49

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.2s	24081×	body	80	nan
1.1s	880×	body	640	valid
532.0ms	5553×	body	80	valid
331.0ms	421×	body	1280	valid
248.0ms	733×	body	320	valid
97.0ms	445×	body	160	valid