Details

sample75.0ms

Algorithm

intervals

Results

20.0ms	257×	body	80	valid
17.0ms	263×	body	80	nan

simplify18.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	185	12
4	431	12
5	875	12
6	1528	12
7	1853	12
8	2082	12
9	2098	12
10	2292	12
11	2327	12
12	2386	12
13	2422	12
14	2490	12
15	2494	12
done	2494	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(* (+ y 0.5) (log y))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`add-cube-cbrt`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate--r+`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-r` `associate-l`
2×	`sub-neg` `associate-+l+` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip-+` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

7.0ms	(- x (* (+ y 0.5) (log y)))
24.0ms	(* (+ y 0.5) (log y))
41.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

series482.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- x (* (+ y 0.5) (log y)))
387.0ms	(* (+ y 0.5) (log y))
51.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

simplify3.4s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	137	917
1	364	830
2	1135	753
3	4724	728
done	5000	728

prune237.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `flip3-+` `associate-*l/` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow1/3`
2×	`associate-+l+` `log-pow`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

50.0ms	(* (+ y 0.5) (log (cbrt y)))
41.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series2.3s

Counts

4 → 12

Calls

4 calls:

670.0ms	(* (+ y 0.5) (log (cbrt y)))
1.1s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
281.0ms	(cbrt y)
299.0ms	(cbrt y)

simplify1.1s

Counts

98 → 98

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	167	1466
1	475	1331
2	1945	1102
done	5001	1096

prune510.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) 1/3)
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (* (+ y 0.5) 1/3) (log y)))
0.4b	(* (* (+ y 0.5) 1/3) (log y))
0.6b	(cbrt y)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

22.0ms	(* (+ y 0.5) 1/3)
50.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (* (+ y 0.5) 1/3) (log y)))
47.0ms	(* (* (+ y 0.5) 1/3) (log y))
1.0ms	(cbrt y)

series2.5s

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ y 0.5) 1/3)
1.8s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (* (+ y 0.5) 1/3) (log y)))
389.0ms	(* (* (+ y 0.5) 1/3) (log y))
250.0ms	(cbrt y)

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	200	1486
1	557	1362
2	2290	1097
done	5000	1086

prune433.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (pow y 1/3))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`cbrt-prod`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`flip3-+` `associate-*l/` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`unpow-prod-down` `pow-unpow`
2×	`associate-+l+` `pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 93

Calls

4 calls:

26.0ms	(* (+ y 0.5) (log (cbrt y)))
56.0ms	(+ (* (* 2 (log (pow y 1/3))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
5.0ms	(pow y 1/3)

series3.1s

Counts

4 → 12

Calls

4 calls:

987.0ms	(* (+ y 0.5) (log (cbrt y)))
1.6s	(+ (* (* 2 (log (pow y 1/3))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
276.0ms	(cbrt y)
250.0ms	(pow y 1/3)

simplify1.4s

Counts

105 → 105

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	203	1581
1	546	1370
2	2194	1134
done	5002	1124

prune581.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

717.0ms	8042×	body	80	valid
581.0ms	8063×	body	80	nan
0.0ms	2×	body	320	valid