Details

Time bar (total: 34.7s)

sample188.0ms

Algorithm
intervals
Results
87.0ms125×body320valid
42.0ms125×body160valid
36.0ms227×body80nan
1.0ms6×body80valid

simplify409.0ms

Calls
1 calls:
Slowest
409.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 36.6b

localize49.0ms

Local error

Found 4 expressions with local error:

30.9b
(sqrt (- (* g g) (* h h)))
30.9b
(sqrt (- (* g g) (* h h)))
9.7b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
9.0b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-div
8×add-sqr-sqrt sqrt-prod
6×*-un-lft-identity add-cube-cbrt
4×expm1-log1p-u frac-times pow1 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 flip3-+ pow1/2 pow1/3 associate-*l/ flip-+ difference-of-squares
Calls
4 calls:
Slowest
15.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
9.0ms
(sqrt (- (* g g) (* h h)))
8.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
3.0ms
(sqrt (- (* g g) (* h h)))

series987.0ms

Calls
4 calls:
Slowest
448.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
416.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
62.0ms
(sqrt (- (* g g) (* h h)))
60.0ms
(sqrt (- (* g g) (* h h)))

simplify6.4s

Calls
38 calls:
Slowest
595.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
475.0ms
(cbrt (* (/ 1 (* 2 a)) (- (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
434.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
400.0ms
(cbrt (* 1 (+ (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
320.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))

prune1.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 31.4b

localize15.0ms

Local error

Found 4 expressions with local error:

30.9b
(sqrt (- (* g g) (* h h)))
30.9b
(sqrt (- (* g g) (* h h)))
9.7b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
4.0b
(- (* g g) (* h h))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
6×*-un-lft-identity add-cube-cbrt add-log-exp
5×cbrt-div flip3-- flip--
4×expm1-log1p-u pow1 add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u
3×difference-of-squares
2×frac-times rem-sqrt-square pow1/2 associate-*r/
1×cbrt-prod sub-neg fma-neg pow1/3 diff-log prod-diff associate-*l/
Calls
4 calls:
Slowest
17.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
7.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))
5.0ms
(- (* g g) (* h h))

series606.0ms

Calls
4 calls:
Slowest
413.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
77.0ms
(sqrt (- (* g g) (* h h)))
60.0ms
(sqrt (- (* g g) (* h h)))
55.0ms
(- (* g g) (* h h))

simplify3.8s

Calls
37 calls:
Slowest
544.0ms
(cbrt (* (/ 1 (* 2 a)) (- (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
260.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
258.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
258.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))
255.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 30.0b

localize13.0ms

Local error

Found 4 expressions with local error:

30.9b
(sqrt (- (* g g) (* h h)))
30.9b
(sqrt (- (* g g) (* h h)))
4.0b
(- (* g g) (* h h))
4.0b
(- (* g g) (* h h))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod add-log-exp
6×*-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip-- difference-of-squares
2×rem-sqrt-square sub-neg pow1/2 fma-neg diff-log prod-diff
Calls
4 calls:
Slowest
7.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))
5.0ms
(- (* g g) (* h h))
5.0ms
(- (* g g) (* h h))

series187.0ms

Calls
4 calls:
Slowest
62.0ms
(sqrt (- (* g g) (* h h)))
50.0ms
(sqrt (- (* g g) (* h h)))
38.0ms
(- (* g g) (* h h))
38.0ms
(- (* g g) (* h h))

simplify2.0s

Calls
36 calls:
Slowest
298.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
274.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
253.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
245.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
186.0ms
(sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h)))))

prune2.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 30.0b

localize18.0ms

Local error

Found 4 expressions with local error:

30.9b
(sqrt (- (* g g) (* h h)))
30.9b
(sqrt (- (* g g) (* h h)))
9.7b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
4.0b
(- (* g g) (* h h))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
6×*-un-lft-identity add-cube-cbrt add-log-exp
5×cbrt-div flip3-- flip--
4×expm1-log1p-u pow1 add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u
3×difference-of-squares
2×frac-times rem-sqrt-square pow1/2 associate-*r/
1×cbrt-prod sub-neg fma-neg pow1/3 diff-log prod-diff associate-*l/
Calls
4 calls:
Slowest
16.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
7.0ms
(sqrt (- (* g g) (* h h)))
6.0ms
(sqrt (- (* g g) (* h h)))
5.0ms
(- (* g g) (* h h))

series600.0ms

Calls
4 calls:
Slowest
402.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
79.0ms
(sqrt (- (* g g) (* h h)))
67.0ms
(sqrt (- (* g g) (* h h)))
52.0ms
(- (* g g) (* h h))

simplify4.0s

Calls
37 calls:
Slowest
558.0ms
(cbrt (* (/ 1 (* 2 a)) (- (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
307.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
277.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))
271.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
268.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune1.4s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 30.0b

regimes1.2s

Accuracy

0% (2.1b remaining)

Error of 31.9b against oracle of 29.8b and baseline of 31.9b

bsearch3.0ms

end0.0ms

sample7.5s

Algorithm
intervals
Results
2.7s3629×body320valid
2.4s4219×body160valid
2.0s7955×body80nan
29.0ms152×body80valid