Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
6.0ms	251×	body	80	nan

simplify7.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	60	12
3	163	12
4	484	12
5	868	12
6	1407	12
7	1976	12
8	2094	12
9	2253	12
10	2452	12
11	3712	12
done	5000	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

54.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
9.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
10.0ms	(* (+ y 0.5) (log y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
42.0ms	(- x (* (+ y 0.5) (log y)))
41.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
243.0ms	(* (+ y 0.5) (log y))

simplify483.0ms

Counts

93 → 93

Iterations

Useful iterations: done (481.0ms)

Iter	Nodes	Cost
0	172	1294
1	439	1175
2	1335	1094
done	5000	1068

prune217.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite27.0ms

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:

11.0ms	(* (+ y 0.5) (log (cbrt y)))
12.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.8s

Counts

4 → 12

Calls

4 calls:

421.0ms	(* (+ y 0.5) (log (cbrt y)))
988.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
178.0ms	(cbrt y)
185.0ms	(cbrt y)

simplify713.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	167	1466
1	474	1331
2	1774	1072
done	5000	1072

prune332.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (+ y 0.5) (* 2/3 (log y))) (* (log (cbrt y)) (+ y 0.5)))
0.3b	(* 2/3 (log y))
0.5b	(cbrt y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* (log (cbrt y)) (+ y 0.5))
11.0ms	(+ (* (+ y 0.5) (* 2/3 (log y))) (* (log (cbrt y)) (+ y 0.5)))
7.0ms	(* 2/3 (log y))
1.0ms	(cbrt y)

series2.0s

Counts

4 → 12

Calls

4 calls:

447.0ms	(* (log (cbrt y)) (+ y 0.5))
1.2s	(+ (* (+ y 0.5) (* 2/3 (log y))) (* (log (cbrt y)) (+ y 0.5)))
144.0ms	(* 2/3 (log y))
182.0ms	(cbrt y)

simplify869.0ms

Counts

102 → 102

Iterations

Useful iterations: done (866.0ms)

Iter	Nodes	Cost
0	216	1429
1	570	1229
2	2172	1056
done	5000	1054

prune340.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
0.5b	(cbrt (* (+ y 0.5) (log y)))
0.5b	(cbrt (* (+ y 0.5) (log y)))
0.5b	(cbrt (* (+ y 0.5) (log y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

9.0ms	(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
3.0ms	(cbrt (* (+ y 0.5) (log y)))
4.0ms	(cbrt (* (+ y 0.5) (log y)))
4.0ms	(cbrt (* (+ y 0.5) (log y)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
83.0ms	(cbrt (* (+ y 0.5) (log y)))
83.0ms	(cbrt (* (+ y 0.5) (log y)))
86.0ms	(cbrt (* (+ y 0.5) (log y)))

simplify801.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (234.0ms)

Iter	Nodes	Cost
0	234	2684
1	659	2516
2	2912	2338
done	5001	2338

prune329.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample828.0ms

Algorithm

intervals

Results

273.0ms	8036×	body	80	valid
221.0ms	8155×	body	80	nan