Details

sample222.0ms

Algorithm

intervals

Results

86.0ms	758×	body	80	nan
20.0ms	167×	body	80	valid
19.0ms	28×	body	640	valid
18.0ms	16×	body	1280	valid
11.0ms	27×	body	320	valid
5.0ms	19×	body	160	valid

simplify254.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
6.3b	(log (- 1.0 y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`associate-+r+`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
6×	`associate-+l+` `associate-l` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+`

Counts

4 → 97

Calls

4 calls:

26.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
20.0ms	(* z (log (- 1.0 y)))
9.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series328.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
86.0ms	(* z (log (- 1.0 y)))
52.0ms	(* x (log y))
73.0ms	(log (- 1.0 y))

simplify1.9s

Counts

109 → 109

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	207	1236
1	450	1176
2	1048	1066
3	2333	1029
done	5000	1022

prune491.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y))))
0.0b	(+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y)))))))
0.2b	(/ 1/2 (/ (* 1.0 1.0) y))
0.2b	(* x (log y))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
33×	`times-frac`
32×	`*-un-lft-identity`
30×	`add-cube-cbrt`
18×	`log-prod`
17×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+r+`
9×	`pow1`
8×	`associate-r`
7×	`associate-/r*`
6×	`associate-+l+` `associate-l` `associate--l+` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `div-inv`
3×	`prod-exp` `cbrt-unprod` `associate-/l*`
2×	`sub-neg` `flip3-+` `associate-r/` `pow-prod-down` `-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `associate-/r/` `log-pow` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

66.0ms	(* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y))))
14.0ms	(+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y)))))))
19.0ms	(/ 1/2 (/ (* 1.0 1.0) y))
15.0ms	(* x (log y))

series314.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y))))
127.0ms	(+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y)))))))
30.0ms	(/ 1/2 (/ (* 1.0 1.0) y))
44.0ms	(* x (log y))

simplify1.4s

Counts

135 → 135

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	251	1875
1	583	1772
2	1708	1630
done	5000	1599

prune765.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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:

22.0ms	(* (* 2 (log (cbrt y))) x)
17.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (* 2 (log (cbrt y))) x)
185.0ms	(* (log (cbrt y)) x)
339.0ms	(cbrt y)
308.0ms	(cbrt y)

simplify3.9s

Counts

72 → 72

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	88	525
1	195	495
2	720	409
3	3047	397
done	5000	397

prune449.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
0.3b	(* (* 2 (log (cbrt y))) x)
0.4b	(* 1/3 (* (log y) x))
0.6b	(cbrt y)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`cbrt-prod`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `flip-+`

Counts

4 → 58

Calls

4 calls:

43.0ms	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
40.0ms	(* (* 2 (log (cbrt y))) x)
17.0ms	(* 1/3 (* (log y) x))
1.0ms	(cbrt y)

series842.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
162.0ms	(* (* 2 (log (cbrt y))) x)
89.0ms	(* 1/3 (* (log y) x))
284.0ms	(cbrt y)

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	142	802
1	359	678
2	1398	519
done	5000	479

prune445.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	35	33
done	35	33

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.7s	24052×	body	80	nan
919.0ms	5518×	body	80	valid
520.0ms	862×	body	640	valid
420.0ms	416×	body	1280	valid
260.0ms	749×	body	320	valid
159.0ms	495×	body	160	valid