Details

Time bar (total: 37.6s)

sample149.0ms

Algorithm
intervals
Results
49.0ms119×body320valid
44.0ms133×body160valid
33.0ms258×body80nan
1.0ms4×body80valid

simplify374.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
374.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 38.0b

localize47.0ms

Local error

Found 4 expressions with local error:

33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))
11.0b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
8.9b
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×cbrt-prod
10×*-un-lft-identity
9×sqrt-prod
8×add-cube-cbrt
6×pow1 cbrt-div times-frac
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 pow1/3 associate-*r/ flip-+ flip--
1×associate-*l/ div-inv distribute-lft-out--
Counts
4 → 77
Calls
4 calls:
Slowest
18.0ms
(sqrt (- (* g g) (* h h)))
16.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
16.0ms
(sqrt (- (* g g) (* h h)))
15.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))

series915.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
431.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
315.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
86.0ms
(sqrt (- (* g g) (* h h)))
82.0ms
(sqrt (- (* g g) (* h h)))

simplify6.2s

Counts
45 → 89
Calls
45 calls:
Slowest
404.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
376.0ms
(- (+ (* 1/18 (* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ 1 (sqrt -1))) (+ (* 5 (log h)) (log a))))) (pow g 2)))) (* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))) (* 1/3 (* (cbrt 1/2) (* g (exp (* 1/3 (- (log -1) (+ (* 2 (log h)) (log a)))))))))
354.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
345.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
305.0ms
(cbrt (* (/ -1/2 a) (+ (pow g 3) (pow (sqrt (- (* g g) (* h h))) 3))))

prune1.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 34.0b

localize64.0ms

Local error

Found 4 expressions with local error:

33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))
11.0b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
3.8b
(- (* g g) (* h h))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
6×pow1 *-un-lft-identity add-cube-cbrt add-log-exp
5×cbrt-div
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u
3×flip3-- flip-- difference-of-squares
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+
1×cbrt-prod sub-neg fma-neg pow1/3 diff-log prod-diff associate-*l/
Counts
4 → 73
Calls
4 calls:
Slowest
21.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
14.0ms
(sqrt (- (* g g) (* h h)))
12.0ms
(sqrt (- (* g g) (* h h)))
9.0ms
(- (* g g) (* h h))

series648.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
436.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
86.0ms
(sqrt (- (* g g) (* h h)))
79.0ms
(sqrt (- (* g g) (* h h)))
46.0ms
(- (* g g) (* h h))

simplify4.3s

Counts
39 → 85
Calls
39 calls:
Slowest
358.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
341.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
309.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
275.0ms
(cbrt (* (/ -1/2 a) (+ (pow g 3) (pow (sqrt (- (* g g) (* h h))) 3))))
246.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune1.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 32.8b

localize78.0ms

Local error

Found 4 expressions with local error:

33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))
11.0b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
3.8b
(- (* g g) (* h h))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
6×pow1 *-un-lft-identity add-cube-cbrt add-log-exp
5×cbrt-div
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u
3×flip3-- flip-- difference-of-squares
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+
1×cbrt-prod sub-neg fma-neg pow1/3 diff-log prod-diff associate-*l/
Counts
4 → 73
Calls
4 calls:
Slowest
28.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
19.0ms
(sqrt (- (* g g) (* h h)))
19.0ms
(sqrt (- (* g g) (* h h)))
16.0ms
(- (* g g) (* h h))

series617.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
424.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
88.0ms
(sqrt (- (* g g) (* h h)))
61.0ms
(sqrt (- (* g g) (* h h)))
44.0ms
(- (* g g) (* h h))

simplify4.6s

Counts
39 → 85
Calls
39 calls:
Slowest
474.0ms
(cbrt (* -1/2 (+ g (sqrt (- (* g g) (* h h))))))
375.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
359.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
303.0ms
(cbrt (* (/ -1/2 a) (+ (pow g 3) (pow (sqrt (- (* g g) (* h h))) 3))))
294.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))

prune1.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 32.8b

localize59.0ms

Local error

Found 4 expressions with local error:

33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))
11.0b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
3.8b
(- (* g g) (* h h))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
6×pow1 *-un-lft-identity add-cube-cbrt add-log-exp
5×cbrt-div
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u
3×flip3-- flip-- difference-of-squares
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+
1×cbrt-prod sub-neg fma-neg pow1/3 diff-log prod-diff associate-*l/
Counts
4 → 73
Calls
4 calls:
Slowest
29.0ms
(sqrt (- (* g g) (* h h)))
28.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
19.0ms
(sqrt (- (* g g) (* h h)))
17.0ms
(- (* g g) (* h h))

series603.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
409.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
76.0ms
(sqrt (- (* g g) (* h h)))
63.0ms
(sqrt (- (* g g) (* h h)))
55.0ms
(- (* g g) (* h h))

simplify4.3s

Counts
39 → 85
Calls
39 calls:
Slowest
347.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
324.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
323.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
297.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))
289.0ms
(cbrt (* (/ -1/2 a) (+ (pow g 3) (pow (sqrt (- (* g g) (* h h))) 3))))

prune1.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 32.7b

regimes749.0ms

Accuracy

58.1% (1.6b remaining)

Error of 31.3b against oracle of 29.8b and baseline of 33.5b

bsearch295.0ms

end0.0ms

sample7.4s

Algorithm
intervals
Results
2.4s3667×body320valid
2.3s4164×body160valid
2.2s8179×body80nan
32.0ms169×body80valid