Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
7.0ms	251×	body	80	nan

simplify16.3s

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	491	12
5	1152	12
6	1851	12
7	2616	12
8	2807	12
9	3007	12
10	3220	12
11	4538	12
done	5000	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite79.0ms

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:

55.0ms	(- (+ (- 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))

series370.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
36.0ms	(- x (* (+ y 0.5) (log y)))
45.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
235.0ms	(* (+ y 0.5) (log y))

simplify521.0ms

Counts

93 → 93

Iterations

Useful iterations: done (519.0ms)

Iter	Nodes	Cost
0	172	1294
1	452	1175
2	1476	1094
done	5000	1063

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)

series1.5s

Counts

4 → 12

Calls

4 calls:

425.0ms	(* (+ y 0.5) (log (cbrt y)))
770.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
176.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify777.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (150.0ms)

Iter	Nodes	Cost
0	167	1466
1	476	1335
2	1976	1072
done	5001	1072

prune319.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

11.0ms	(* (+ y 0.5) (log (cbrt y)))
16.0ms	(+ (* (+ y 0.5) (* 2/3 (log y))) (* (+ y 0.5) (log (cbrt y))))
4.0ms	(* 2/3 (log y))
1.0ms	(cbrt y)

series2.0s

Counts

4 → 12

Calls

4 calls:

435.0ms	(* (+ y 0.5) (log (cbrt y)))
1.2s	(+ (* (+ y 0.5) (* 2/3 (log y))) (* (+ y 0.5) (log (cbrt y))))
142.0ms	(* 2/3 (log y))
174.0ms	(cbrt y)

simplify1.4s

Counts

123 → 123

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	244	1796
1	654	1534
2	2659	1297
done	5000	1263

prune371.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* 3 (* (+ y 0.5) (log (cbrt y)))))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `associate-r/` `associate-l/`
1×	`flip3-+` `flip-+`

Counts

4 → 44

Calls

4 calls:

10.0ms	(cbrt (* 3 (* (+ y 0.5) (log (cbrt y)))))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series644.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (* 3 (* (+ y 0.5) (log (cbrt y)))))
171.0ms	(cbrt y)
180.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify1.2s

Counts

56 → 56

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	113	571
1	265	534
2	809	486
3	3355	409
done	5000	407

prune234.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

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

sample830.0ms

Algorithm

intervals

Results

276.0ms	8036×	body	80	valid
215.0ms	8155×	body	80	nan