Details

Time bar (total: 34.4s)

sample218.0ms

Algorithm
intervals
Results
81.0ms255×body80nan
62.0ms149×body160valid
54.0ms104×body320valid
1.0ms3×body80valid

simplify334.0ms

Calls
1 calls:
Slowest
334.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.1b

localize47.0ms

Local error

Found 4 expressions with local error:

27.2b
(sqrt (- (* g g) (* h h)))
27.2b
(sqrt (- (* g g) (* h h)))
7.9b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
5.3b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-div
8×add-sqr-sqrt sqrt-prod
6×pow1 *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u frac-times flip3-- add-cbrt-cube sqrt-div associate-*r/ add-exp-log insert-posit16 log1p-expm1-u flip-- add-log-exp
2×cbrt-prod rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow1/3 associate-*l/ flip-+ difference-of-squares
Calls
4 calls:
Slowest
60.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
53.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
16.0ms
(sqrt (- (* g g) (* h h)))
9.0ms
(sqrt (- (* g g) (* h h)))

series976.0ms

Calls
4 calls:
Slowest
416.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
404.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
79.0ms
(sqrt (- (* g g) (* h h)))
77.0ms
(sqrt (- (* g g) (* h h)))

simplify5.5s

Calls
40 calls:
Slowest
350.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
335.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
310.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
280.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))
272.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 27.8b

localize63.0ms

Local error

Found 4 expressions with local error:

27.2b
(sqrt (- (* g g) (* h h)))
27.2b
(sqrt (- (* g g) (* h h)))
5.3b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
2.8b
(- (* g g) (* h h))

rewrite84.0ms

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/
Calls
4 calls:
Slowest
50.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
15.0ms
(- (* g g) (* h h))
9.0ms
(sqrt (- (* g g) (* h h)))
9.0ms
(sqrt (- (* g g) (* h h)))

series606.0ms

Calls
4 calls:
Slowest
423.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
68.0ms
(sqrt (- (* g g) (* h h)))
59.0ms
(sqrt (- (* g g) (* h h)))
56.0ms
(- (* g g) (* h h))

simplify4.0s

Calls
39 calls:
Slowest
372.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
331.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
303.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
275.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))
267.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ -1 a))) (log (/ -1 g))))) (cbrt -1/2))

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 27.6b

localize58.0ms

Local error

Found 4 expressions with local error:

27.2b
(sqrt (- (* g g) (* h h)))
27.2b
(sqrt (- (* g g) (* h h)))
2.8b
(- (* g g) (* h h))
2.8b
(- (* g g) (* h h))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip-- difference-of-squares
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Calls
4 calls:
Slowest
28.0ms
(sqrt (- (* g g) (* h h)))
18.0ms
(sqrt (- (* g g) (* h h)))
15.0ms
(- (* g g) (* h h))
14.0ms
(- (* g g) (* h h))

series212.0ms

Calls
4 calls:
Slowest
64.0ms
(sqrt (- (* g g) (* h h)))
61.0ms
(sqrt (- (* g g) (* h h)))
52.0ms
(- (* g g) (* h h))
36.0ms
(- (* g g) (* h h))

simplify2.4s

Calls
38 calls:
Slowest
336.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
294.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
242.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
207.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
183.0ms
(/ (exp (* g g)) (exp (* h h)))

prune1.7s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.6b

localize56.0ms

Local error

Found 4 expressions with local error:

27.2b
(sqrt (- (* g g) (* h h)))
27.2b
(sqrt (- (* g g) (* h h)))
5.3b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
2.8b
(- (* g g) (* h h))

rewrite115.0ms

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/
Calls
4 calls:
Slowest
52.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
30.0ms
(sqrt (- (* g g) (* h h)))
16.0ms
(sqrt (- (* g g) (* h h)))
15.0ms
(- (* g g) (* h h))

series590.0ms

Calls
4 calls:
Slowest
429.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
65.0ms
(sqrt (- (* g g) (* h h)))
58.0ms
(sqrt (- (* g g) (* h h)))
38.0ms
(- (* g g) (* h h))

simplify4.4s

Calls
39 calls:
Slowest
655.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
324.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
307.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))
278.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
268.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune1.4s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.5b

regimes953.0ms

Accuracy

0% (2.1b remaining)

Error of 31.1b against oracle of 29.0b and baseline of 31.1b

bsearch4.0ms

end0.0ms

sample7.4s

Algorithm
intervals
Results
2.6s4085×body160valid
2.6s3741×body320valid
1.8s8106×body80nan
35.0ms174×body80valid