Details

sample128.0ms

Algorithm

intervals

Results

52.0ms	776×	body	80	nan
12.0ms	179×	body	80	valid
10.0ms	15×	body	1280	valid
9.0ms	27×	body	640	valid
6.0ms	25×	body	320	valid
2.0ms	12×	body	160	valid

simplify242.0ms

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: 9.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
4.7b	(log (- 1.0 y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`log-prod`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`add-cbrt-cube`
6×	`associate-l`
3×	`log-pow` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `rem-log-exp` `flip--`

Counts

3 → 70

Calls

3 calls:

26.0ms	(* z (log (- 1.0 y)))
18.0ms	(* x (log y))
11.0ms	(log (- 1.0 y))

series226.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* z (log (- 1.0 y)))
79.0ms	(* x (log y))
61.0ms	(log (- 1.0 y))

simplify3.6s

Counts

79 → 79

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	168	766
1	333	740
2	715	664
3	1408	637
4	3831	633
done	5000	630

prune369.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y))))
0.0b	(* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y))))))
0.2b	(/ 1/2 (/ (* 1.0 1.0) y))
0.3b	(* x (log y))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

125.0ms	(* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y))))
31.0ms	(* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y))))))
11.0ms	(/ 1/2 (/ (* 1.0 1.0) y))
10.0ms	(* x (log y))

series281.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y))))
120.0ms	(* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (/ (* 1.0 1.0) y))))))
25.0ms	(/ 1/2 (/ (* 1.0 1.0) y))
48.0ms	(* x (log y))

simplify1.6s

Counts

138 → 138

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	261	1901
1	573	1799
2	1663	1651
done	5000	1624

prune639.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

13.0ms	(* (log (cbrt y)) x)
34.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (log (cbrt y)) x)
191.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
345.0ms	(cbrt y)
300.0ms	(cbrt y)

simplify4.3s

Counts

66 → 66

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	87	597
1	209	481
2	742	423
3	3667	350
done	5000	345

prune414.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (pow (/ 1 y) -1/3)) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (pow (/ 1 y) -1/3)) x))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-l` `pow-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-r`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `distribute-rgt-out` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

9.0ms	(* (log (pow (/ 1 y) -1/3)) x)
34.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (pow (/ 1 y) -1/3)) x))
1.0ms	(cbrt y)
8.0ms	(pow (/ 1 y) -1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (log (pow (/ 1 y) -1/3)) x)
321.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (pow (/ 1 y) -1/3)) x))
227.0ms	(cbrt y)
562.0ms	(pow (/ 1 y) -1/3)

simplify1.1s

Counts

86 → 86

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	167	998
1	380	824
2	1154	650
done	5000	561

prune365.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes219.0ms

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	30	40
1	40	40
done	40	40

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	24665×	body	80	nan
619.0ms	5640×	body	80	valid
475.0ms	880×	body	640	valid
296.0ms	409×	body	1280	valid
165.0ms	673×	body	320	valid
66.0ms	432×	body	160	valid