Details

sample60.0ms

Algorithm

intervals

Results

20.0ms	287×	body	80	valid
12.0ms	255×	body	80	nan

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	101	12
4	156	12
5	206	12
6	250	12
7	363	12
8	497	12
9	624	12
10	679	12
11	680	12
done	680	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

45.0ms	(+ (- 1.0 z) (log z))
23.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
97.0ms	(* y (+ (- 1.0 z) (log z)))

series466.0ms

Counts

3 → 9

Calls

3 calls:

286.0ms	(+ (- 1.0 z) (log z))
88.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
92.0ms	(* y (+ (- 1.0 z) (log z)))

simplify789.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	132	839
1	359	775
2	1203	704
done	5000	704

prune340.0ms

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 z))
0.0b	(+ (* y (- 1.0 z)) (* 0.5 x))
0.1b	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* (log z) y))
0.3b	(* (log z) y)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

42.0ms	(* y (- 1.0 z))
24.0ms	(+ (* y (- 1.0 z)) (* 0.5 x))
76.0ms	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* (log z) y))
15.0ms	(* (log z) y)

series349.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* y (- 1.0 z))
55.0ms	(+ (* y (- 1.0 z)) (* 0.5 x))
109.0ms	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* (log z) y))
124.0ms	(* (log z) y)

simplify1.0s

Counts

85 → 85

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	142	958
1	373	873
2	1288	818
done	5000	779

prune289.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite936.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

684.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
247.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.7s

Counts

4 → 12

Calls

4 calls:

665.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
493.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
288.0ms	(cbrt z)
276.0ms	(cbrt z)

simplify997.0ms

Counts

87 → 87

Iterations

Useful iterations: done (993.0ms)

Iter	Nodes	Cost
0	130	1128
1	315	1093
2	1016	902
done	5000	799

prune435.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
21.0ms	(* (cbrt y) (cbrt y))

series1.2s

Counts

4 → 12

Calls

4 calls:

299.0ms	(cbrt y)
327.0ms	(cbrt y)
348.0ms	(cbrt y)
273.0ms	(* (cbrt y) (cbrt y))

simplify4.6s

Counts

85 → 85

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	321	397
3	1098	379
4	4542	374
done	5000	364

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	19
1	21	19
done	21	19

end0.0ms

sample2.4s

Algorithm

intervals

Results

956.0ms	9155×	body	80	valid
635.0ms	9060×	body	80	nan