Details

sample231.0ms

Algorithm

intervals

Results

76.0ms	117×	body	320	valid
71.0ms	133×	body	160	valid
51.0ms	250×	body	80	nan
1.0ms	6×	body	80	valid

simplify2.8s

Counts: 1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.2b

localize70.0ms

Local error

Found 4 expressions with local error:

26.6b	(sqrt (* (+ g h) (- g h)))
26.6b	(sqrt (* (+ g h) (- g h)))
8.8b	(cbrt (* (+ g (sqrt (* (+ g h) (- g h)))) (/ -1/2 a)))
8.8b	(cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`cbrt-prod` `frac-times` `pow1`
8×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`cbrt-div` `flip3--` `associate-*l/` `add-cube-cbrt` `flip--`
5×	`times-frac` `associate-*r/`
4×	`sqrt-pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`pow1/2` `pow1/3` `pow-prod-down` `sqrt-prod`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

Slowest

17.0ms	(cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2)))
15.0ms	(sqrt (* (+ g h) (- g h)))
15.0ms	(sqrt (* (+ g h) (- g h)))
11.0ms	(cbrt (* (+ g (sqrt (* (+ g h) (- g h)))) (/ -1/2 a)))

series838.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

348.0ms	(cbrt (* (+ g (sqrt (* (+ g h) (- g h)))) (/ -1/2 a)))
335.0ms	(cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2)))
79.0ms	(sqrt (* (+ g h) (- g h)))
76.0ms	(sqrt (* (+ g h) (- g h)))

simplify2.4s

Counts: 86 → 86

prune1.6s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 27.6b

localize69.0ms

Local error

Found 4 expressions with local error:

26.6b	(sqrt (* (+ g h) (- g h)))
26.6b	(sqrt (* (+ g h) (- g h)))
8.8b	(cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2)))
2.1b	(- (sqrt (* (+ g h) (- g h))) g)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`add-sqr-sqrt` `pow1` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`frac-times`
7×	`flip3--` `flip--`
6×	`flip3-+` `add-cube-cbrt` `flip-+` `add-log-exp`
5×	`times-frac`
4×	`sqrt-pow1` `add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16`
2×	`pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-div` `sub-neg` `pow1/3` `diff-log` `div-inv`

Counts

4 → 74

Calls

4 calls:

Slowest

19.0ms	(- (sqrt (* (+ g h) (- g h))) g)
10.0ms	(cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2)))
8.0ms	(sqrt (* (+ g h) (- g h)))
7.0ms	(sqrt (* (+ g h) (- g h)))

series708.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

384.0ms	(cbrt (/ (- (sqrt (* (+ g h) (- g h))) g) (* a 2)))
130.0ms	(- (sqrt (* (+ g h) (- g h))) g)
106.0ms	(sqrt (* (+ g h) (- g h)))
87.0ms	(sqrt (* (+ g h) (- g h)))

simplify2.0s

Counts: 86 → 86

prune1.4s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 26.7b

localize81.0ms

Local error

Found 4 expressions with local error:

26.6b	(sqrt (* (+ g h) (- g h)))
26.6b	(sqrt (* (+ g h) (- g h)))
2.1b	(- (sqrt (* (+ g h) (- g h))) g)
1.3b	(+ g (sqrt (* (+ g h) (- g h))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`pow1`
8×	`frac-times` `*-un-lft-identity` `add-log-exp`
7×	`flip3-+` `flip3--` `flip-+` `flip--`
6×	`add-sqr-sqrt`
4×	`sqrt-pow1` `add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`pow1/2` `pow-prod-down` `sqrt-prod`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

Slowest

21.0ms	(- (sqrt (* (+ g h) (- g h))) g)
13.0ms	(sqrt (* (+ g h) (- g h)))
8.0ms	(+ g (sqrt (* (+ g h) (- g h))))
7.0ms	(sqrt (* (+ g h) (- g h)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(- (sqrt (* (+ g h) (- g h))) g)
110.0ms	(sqrt (* (+ g h) (- g h)))
92.0ms	(sqrt (* (+ g h) (- g h)))
89.0ms	(+ g (sqrt (* (+ g h) (- g h))))

simplify1.4s

Counts: 80 → 80

prune1.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 25.9b

localize60.0ms

Local error

Found 4 expressions with local error:

26.6b	(sqrt (* (+ g h) (- g h)))
26.6b	(sqrt (* (+ g h) (- g h)))
2.1b	(- (sqrt (* (+ g h) (- g h))) g)
1.3b	(+ g (sqrt (* (+ g h) (- g h))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`pow1`
8×	`frac-times` `*-un-lft-identity` `add-log-exp`
7×	`flip3-+` `flip3--` `flip-+` `flip--`
6×	`add-sqr-sqrt`
4×	`sqrt-pow1` `add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`pow1/2` `pow-prod-down` `sqrt-prod`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

Slowest

18.0ms	(- (sqrt (* (+ g h) (- g h))) g)
16.0ms	(sqrt (* (+ g h) (- g h)))
15.0ms	(sqrt (* (+ g h) (- g h)))
4.0ms	(+ g (sqrt (* (+ g h) (- g h))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(- (sqrt (* (+ g h) (- g h))) g)
116.0ms	(+ g (sqrt (* (+ g h) (- g h))))
85.0ms	(sqrt (* (+ g h) (- g h)))
75.0ms	(sqrt (* (+ g h) (- g h)))

simplify1.3s

Counts: 80 → 80

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 25.9b

regimes528.0ms

Accuracy

51.3% (1.1b remaining)

Error of 31.0b against oracle of 29.8b and baseline of 32.2b

bsearch385.0ms

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.6s	7974×	body	80	nan
2.4s	3753×	body	320	valid
1.9s	4106×	body	160	valid
23.0ms	141×	body	80	valid