Details

sample85.0ms

Algorithm

intervals

Results

27.0ms	258×	body	80	valid
19.0ms	280×	body	80	nan

simplify33.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (195.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	203	12
4	476	11
5	1030	11
6	1721	11
7	2404	11
8	2731	11
9	2785	11
10	3029	11
11	3277	11
12	3518	11
13	3822	11
14	4176	11
15	4222	11
16	4242	11
done	4242	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`log-prod`
5×	`pow1` `associate-+l+`
4×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
3×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `prod-diff`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `sum-log` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

37.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
31.0ms	(* (+ y 0.5) (log y))

series402.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
345.0ms	(* (+ y 0.5) (log y))

simplify3.1s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	120	712
1	313	673
2	975	601
3	3844	577
done	5000	577

prune292.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite116.0ms

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×	`expm1-log1p-u` `associate-r/` `associate-l*` `frac-add` `log1p-expm1-u`
3×	`pow1/3`
2×	`associate-+l+` `log-pow`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

47.0ms	(* (+ y 0.5) (log (cbrt y)))
60.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series3.1s

Counts

4 → 12

Calls

4 calls:

767.0ms	(* (+ y 0.5) (log (cbrt y)))
1.7s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
325.0ms	(cbrt y)
322.0ms	(cbrt y)

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	173	1530
1	513	1362
2	2138	1145
done	5002	1113

prune542.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 3 y 1.5)
0.1b	(+ (- x (* (log (cbrt y)) (fma 3 y 1.5))) y)
0.3b	(* (log (cbrt y)) (fma 3 y 1.5))
0.6b	(cbrt y)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `add-log-exp`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-+l+` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-prod` `fma-def` `associate-r` `prod-diff` `fma-udef`
2×	`pow1/3` `sum-log` `log-pow`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

1.0ms	(fma 3 y 1.5)
46.0ms	(+ (- x (* (log (cbrt y)) (fma 3 y 1.5))) y)
28.0ms	(* (log (cbrt y)) (fma 3 y 1.5))
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma 3 y 1.5)
88.0ms	(+ (- x (* (log (cbrt y)) (fma 3 y 1.5))) y)
719.0ms	(* (log (cbrt y)) (fma 3 y 1.5))
310.0ms	(cbrt y)

simplify3.4s

Counts

83 → 83

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	123	922
1	271	886
2	873	785
3	3707	738
done	5000	701

prune424.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 3 y 1.5)
0.1b	(+ (- x (* (log (pow y 1/3)) (fma 3 y 1.5))) y)
0.3b	(* (log (pow y 1/3)) (fma 3 y 1.5))
5.2b	(pow y 1/3)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`add-log-exp`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-+l+`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `fma-def` `associate-r` `prod-diff` `fma-udef`
2×	`sum-log`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+l-` `sub-neg` `pow-pow` `distribute-lft-in` `flip3-+` `unpow1/3` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

1.0ms	(fma 3 y 1.5)
44.0ms	(+ (- x (* (log (pow y 1/3)) (fma 3 y 1.5))) y)
9.0ms	(* (log (pow y 1/3)) (fma 3 y 1.5))
3.0ms	(pow y 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

48.0ms	(fma 3 y 1.5)
93.0ms	(+ (- x (* (log (pow y 1/3)) (fma 3 y 1.5))) y)
715.0ms	(* (log (pow y 1/3)) (fma 3 y 1.5))
260.0ms	(pow y 1/3)

simplify4.4s

Counts

89 → 89

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	143	1025
1	332	901
2	1069	782
3	4561	746
done	5000	708

prune484.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes159.0ms

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

sample2.2s

Algorithm

intervals

Results

994.0ms	8056×	body	80	valid
511.0ms	8340×	body	80	nan
0.0ms	1×	body	320	valid