Details

sample132.0ms

Algorithm

intervals

Results

75.0ms	78×	body	1280	valid
28.0ms	57×	body	640	valid
6.0ms	92×	body	80	valid
5.0ms	18×	body	320	valid
4.0ms	93×	body	80	nan
2.0ms	11×	body	160	valid

simplify12.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.4b

localize6.0ms

Local error

Found 1 expressions with local error:

3.6b	(log (+ 1 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

Slowest

3.0ms

(log (+ 1 x))

series24.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

24.0ms

(log (+ 1 x))

simplify1.4s

Counts: 19 → 19

prune136.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/3 x)
0.1b	(* x (+ -1/2 (* 1/3 x)))
0.1b	(* (* x (+ -1/2 (* 1/3 x))) x)
0.0b	(+ x (* (* x (+ -1/2 (* 1/3 x))) x))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity`
9×	`associate-r` `add-cube-cbrt`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-*r/` `insert-posit16`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`associate-*l/` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `distribute-rgt-out` `distribute-rgt1-in`

Counts

4 → 77

Calls

4 calls:

Slowest

40.0ms	(* (* x (+ -1/2 (* 1/3 x))) x)
21.0ms	(* x (+ -1/2 (* 1/3 x)))
12.0ms	(+ x (* (* x (+ -1/2 (* 1/3 x))) x))
10.0ms	(* 1/3 x)

series258.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

102.0ms	(* (* x (+ -1/2 (* 1/3 x))) x)
85.0ms	(* x (+ -1/2 (* 1/3 x)))
47.0ms	(+ x (* (* x (+ -1/2 (* 1/3 x))) x))
24.0ms	(* 1/3 x)

simplify2.1s

Counts: 89 → 89

prune556.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (+ 1 x))
3.6b	(log (+ 1 x))
3.6b	(log (+ 1 x))
0.2b	(* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`pow1`
15×	`add-cube-cbrt`
12×	`log-prod`
9×	`swap-sqr` `add-exp-log` `log-pow`
7×	`associate-r` `associate-l`
6×	`log-div` `pow1/3`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

Slowest

9.0ms	(* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x))))
5.0ms	(log (+ 1 x))
5.0ms	(log (+ 1 x))
5.0ms	(log (+ 1 x))

series182.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

110.0ms	(* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x))))
24.0ms	(log (+ 1 x))
24.0ms	(log (+ 1 x))
23.0ms	(log (+ 1 x))

simplify2.1s

Counts: 106 → 106

prune799.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (+ 1 x))
3.6b	(log (+ 1 x))
3.6b	(log (+ 1 x))
3.0b	(log (exp (* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x))))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`log-prod`
14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div` `log-pow`
5×	`add-log-exp`
4×	`add-cbrt-cube` `rem-log-exp` `insert-posit16`
3×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`exp-prod` `exp-to-pow`

Counts

4 → 63

Calls

4 calls:

Slowest

6.0ms	(log (exp (* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x))))))
6.0ms	(log (+ 1 x))
5.0ms	(log (+ 1 x))
3.0ms	(log (+ 1 x))

series183.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

91.0ms	(log (exp (* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x))))))
32.0ms	(log (+ 1 x))
31.0ms	(log (+ 1 x))
29.0ms	(log (+ 1 x))

simplify2.7s

Counts: 75 → 75

prune624.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes129.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.5b

bsearch28.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	2178×	body	1280	valid
658.0ms	1679×	body	640	valid
228.0ms	818×	body	320	valid
200.0ms	2914×	body	80	valid
118.0ms	2655×	body	80	nan
50.0ms	411×	body	160	valid