Details

Time bar (total: 34.8s)

sample202.0ms

Algorithm
intervals
Results
84.0ms115×body320valid
46.0ms134×body160valid
45.0ms268×body80nan
1.0ms7×body80valid

simplify303.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
303.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.8b

localize46.0ms

Local error

Found 4 expressions with local error:

29.6b
(sqrt (- (* g g) (* h h)))
29.6b
(sqrt (- (* g g) (* h h)))
8.8b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
5.7b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))

rewrite120.0ms

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
Counts
4 → 72
Calls
4 calls:
Slowest
52.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
43.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
14.0ms
(sqrt (- (* g g) (* h h)))
9.0ms
(sqrt (- (* g g) (* h h)))

series884.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
392.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
381.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
61.0ms
(sqrt (- (* g g) (* h h)))
49.0ms
(sqrt (- (* g g) (* h h)))

simplify5.7s

Counts
40 → 84
Calls
40 calls:
Slowest
427.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
375.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
316.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
313.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
297.0ms
(cbrt (* 1 (- (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 30.4b

localize56.0ms

Local error

Found 4 expressions with local error:

29.6b
(sqrt (- (* g g) (* h h)))
29.6b
(sqrt (- (* g g) (* h h)))
5.7b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
3.4b
(- (* g g) (* h h))

rewrite74.0ms

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 flip3-- flip--
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u
3×difference-of-squares
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/
1×cbrt-prod sub-neg fma-neg pow1/3 diff-log prod-diff associate-*l/
Counts
4 → 73
Calls
4 calls:
Slowest
35.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
17.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(- (* g g) (* h h))

series590.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
426.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
63.0ms
(sqrt (- (* g g) (* h h)))
60.0ms
(sqrt (- (* g g) (* h h)))
42.0ms
(- (* g g) (* h h))

simplify4.5s

Counts
39 → 85
Calls
39 calls:
Slowest
707.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
415.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
308.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))
236.0ms
(cbrt (* 1 (- (* (- g) (- g)) (* (sqrt (- (* g g) (* h h))) (sqrt (- (* g g) (* h h)))))))
234.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))

prune1.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 30.0b

localize54.0ms

Local error

Found 4 expressions with local error:

29.6b
(sqrt (- (* g g) (* h h)))
29.6b
(sqrt (- (* g g) (* h h)))
3.4b
(- (* g g) (* h h))
3.4b
(- (* g g) (* h h))

rewrite67.0ms

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
Counts
4 → 74
Calls
4 calls:
Slowest
22.0ms
(sqrt (- (* g g) (* h h)))
17.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(- (* g g) (* h h))
14.0ms
(- (* g g) (* h h))

series227.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(sqrt (- (* g g) (* h h)))
70.0ms
(sqrt (- (* g g) (* h h)))
45.0ms
(- (* g g) (* h h))
40.0ms
(- (* g g) (* h h))

simplify2.4s

Counts
38 → 86
Calls
38 calls:
Slowest
316.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
303.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
232.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
220.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
149.0ms
(sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h)))))

prune1.6s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 30.0b

localize86.0ms

Local error

Found 4 expressions with local error:

29.6b
(sqrt (- (* g g) (* h h)))
29.6b
(sqrt (- (* g g) (* h h)))
5.7b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
3.4b
(- (* g g) (* h h))

rewrite113.0ms

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 flip3-- flip--
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u
3×difference-of-squares
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/
1×cbrt-prod sub-neg fma-neg pow1/3 diff-log prod-diff associate-*l/
Counts
4 → 73
Calls
4 calls:
Slowest
60.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
18.0ms
(sqrt (- (* g g) (* h h)))
18.0ms
(sqrt (- (* g g) (* h h)))
15.0ms
(- (* g g) (* h h))

series543.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
375.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
73.0ms
(sqrt (- (* g g) (* h h)))
48.0ms
(sqrt (- (* g g) (* h h)))
47.0ms
(- (* g g) (* h h))

simplify4.1s

Counts
39 → 85
Calls
39 calls:
Slowest
372.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
349.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
302.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
269.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
264.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))

prune1.6s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 30.0b

regimes969.0ms

Accuracy

0% (2.3b remaining)

Error of 31.9b against oracle of 29.7b and baseline of 31.9b

bsearch4.0ms

end0.0ms

sample7.8s

Algorithm
intervals
Results
3.0s3762×body320valid
2.3s8125×body80nan
2.0s4080×body160valid
30.0ms158×body80valid