Details

sample97.0ms

Algorithm

intervals

Results

26.0ms	52×	body	1280	valid
25.0ms	28×	body	2560	valid
14.0ms	46×	body	640	valid
6.0ms	103×	body	80	valid
4.0ms	80×	body	80	nan
3.0ms	14×	body	320	valid
2.0ms	13×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y x))
0.1b	(* (* x 1.0) (log (- 1.0 (/ y x))))
10.4b	(log (- 1.0 (/ y x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`log-prod`
15×	`*-un-lft-identity`
10×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube` `difference-of-squares`
7×	`add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`add-log-exp`
4×	`times-frac` `associate-r` `distribute-lft-out--`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `flip3--` `log-pow` `flip--`
1×	`sub-neg` `diff-log` `rem-log-exp` `associate-l` `*-commutative`

Counts

3 → 63

Calls

3 calls:

13.0ms	(- 1.0 (/ y x))
68.0ms	(* (* x 1.0) (log (- 1.0 (/ y x))))
14.0ms	(log (- 1.0 (/ y x)))

series293.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- 1.0 (/ y x))
134.0ms	(* (* x 1.0) (log (- 1.0 (/ y x))))
136.0ms	(log (- 1.0 (/ y x)))

simplify95.0ms

Counts: 72 → 72

prune201.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 38.6b

localize29.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (cbrt (- 1.0 (/ y x))))
3.6b	(log (cbrt (- 1.0 (/ y x))))
6.8b	(cbrt (- 1.0 (/ y x)))
6.8b	(cbrt (- 1.0 (/ y x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`cbrt-prod`
18×	`log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`cbrt-div` `difference-of-squares`
6×	`pow1` `add-exp-log`
4×	`log-div` `flip3--` `times-frac` `pow1/3` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 74

Calls

4 calls:

10.0ms	(log (cbrt (- 1.0 (/ y x))))
11.0ms	(log (cbrt (- 1.0 (/ y x))))
10.0ms	(cbrt (- 1.0 (/ y x)))
14.0ms	(cbrt (- 1.0 (/ y x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

157.0ms	(log (cbrt (- 1.0 (/ y x))))
200.0ms	(log (cbrt (- 1.0 (/ y x))))
383.0ms	(cbrt (- 1.0 (/ y x)))
386.0ms	(cbrt (- 1.0 (/ y x)))

simplify65.0ms

Counts: 86 → 86

prune472.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 38.6b

localize18.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (cbrt (- 1.0 (/ y x))))
3.6b	(log (cbrt (- 1.0 (/ y x))))
6.8b	(cbrt (- 1.0 (/ y x)))
6.8b	(cbrt (- 1.0 (/ y x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`cbrt-prod`
18×	`log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`cbrt-div` `difference-of-squares`
6×	`pow1` `add-exp-log`
4×	`log-div` `flip3--` `times-frac` `pow1/3` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 74

Calls

4 calls:

15.0ms	(log (cbrt (- 1.0 (/ y x))))
20.0ms	(log (cbrt (- 1.0 (/ y x))))
11.0ms	(cbrt (- 1.0 (/ y x)))
9.0ms	(cbrt (- 1.0 (/ y x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

188.0ms	(log (cbrt (- 1.0 (/ y x))))
178.0ms	(log (cbrt (- 1.0 (/ y x))))
366.0ms	(cbrt (- 1.0 (/ y x)))
378.0ms	(cbrt (- 1.0 (/ y x)))

simplify72.0ms

Counts: 86 → 86

prune402.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 38.6b

localize48.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (cbrt (- 1.0 (/ y x))))
6.8b	(cbrt (- 1.0 (/ y x)))
6.8b	(cbrt (- 1.0 (/ y x)))
6.8b	(cbrt (- 1.0 (/ y x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`cbrt-prod`
17×	`*-un-lft-identity`
9×	`add-cube-cbrt` `log-prod`
8×	`cbrt-div` `difference-of-squares`
5×	`pow1` `add-exp-log`
4×	`flip3--` `times-frac` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`
2×	`log-div` `log-pow`
1×	`rem-log-exp`

Counts

4 → 69

Calls

4 calls:

10.0ms	(log (cbrt (- 1.0 (/ y x))))
9.0ms	(cbrt (- 1.0 (/ y x)))
9.0ms	(cbrt (- 1.0 (/ y x)))
9.0ms	(cbrt (- 1.0 (/ y x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

164.0ms	(log (cbrt (- 1.0 (/ y x))))
318.0ms	(cbrt (- 1.0 (/ y x)))
374.0ms	(cbrt (- 1.0 (/ y x)))
363.0ms	(cbrt (- 1.0 (/ y x)))

simplify78.0ms

Counts: 81 → 81

prune459.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 38.6b

regimes219.0ms

Accuracy

81.4% (0.6b remaining)

Error of 42.0b against oracle of 41.4b and baseline of 44.5b

bsearch2.0ms

simplify176.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.0s	1860×	body	1280	valid
907.0ms	903×	body	2560	valid
757.0ms	1305×	body	640	valid
230.0ms	2641×	body	80	nan
194.0ms	2799×	body	80	valid
160.0ms	711×	body	320	valid
56.0ms	422×	body	160	valid