Details

sample248.0ms

Algorithm

intervals

Results

107.0ms	965×	body	80	nan
28.0ms	306×	body	80	valid
0.0ms	1×	body	320	valid

simplify1.1s

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (* x (log y)) z)
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite3.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

3.3s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
14.0ms	(+ (* x (log y)) z)
36.0ms	(* (- b 0.5) (log c))
15.0ms	(* x (log y))

series983.0ms

Counts

4 → 12

Calls

4 calls:

817.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
64.0ms	(+ (* x (log y)) z)
62.0ms	(* (- b 0.5) (log c))
40.0ms	(* x (log y))

simplify785.0ms

Counts: 99 → 99

prune576.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
17×	`pow1`
16×	`associate-r`
15×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
11×	`add-exp-log` `associate-l`
10×	`log-pow` `add-cbrt-cube`
4×	`add-log-exp`
3×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate-*l/`
1×	`flip3--` `rem-log-exp` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

2.0ms	(log (sqrt y))
27.0ms	(* (- b 0.5) (log c))
16.0ms	(* x (log (sqrt y)))
27.0ms	(* x (log (sqrt y)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(log (sqrt y))
64.0ms	(* (- b 0.5) (log c))
94.0ms	(* x (log (sqrt y)))
98.0ms	(* x (log (sqrt y)))

simplify638.0ms

Counts: 124 → 124

prune788.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate-r` `sqrt-prod`
8×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-prod` `associate-l` `log-pow`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

22.0ms	(* x (log (sqrt y)))
12.0ms	(* x (log (sqrt y)))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series825.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* x (log (sqrt y)))
140.0ms	(* x (log (sqrt y)))
271.0ms	(cbrt c)
294.0ms	(cbrt c)

simplify964.0ms

Counts: 100 → 100

prune823.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

23.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (cbrt y) (cbrt y))
696.0ms	(cbrt y)
337.0ms	(cbrt y)
233.0ms	(cbrt y)

simplify939.0ms

Counts: 85 → 85

prune862.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

-1.8% (0.1b remaining)

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

bsearch0.0ms

simplify500.0ms

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.9s	27805×	body	80	nan
1.4s	9166×	body	80	valid
2.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid