Details

Time bar (total: 35.5s)

sample208.0ms

Algorithm
intervals
Results
86.0ms113×body320valid
49.0ms136×body160valid
43.0ms246×body80nan
1.0ms7×body80valid

simplify310.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
309.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.3b

localize61.0ms

Local error

Found 4 expressions with local error:

31.2b
(sqrt (- (* g g) (* h h)))
31.2b
(sqrt (- (* g g) (* h h)))
9.1b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.1b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))

rewrite124.0ms

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
48.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
36.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
20.0ms
(sqrt (- (* g g) (* h h)))
19.0ms
(sqrt (- (* g g) (* h h)))

series929.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
401.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
385.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
75.0ms
(sqrt (- (* g g) (* h h)))
67.0ms
(sqrt (- (* g g) (* h h)))

simplify5.7s

Counts
40 → 84
Calls
40 calls:
Slowest
756.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
321.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
303.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
300.0ms
(cbrt (* 1 (+ (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
277.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 32.0b

localize59.0ms

Local error

Found 4 expressions with local error:

31.2b
(sqrt (- (* g g) (* h h)))
31.2b
(sqrt (- (* g g) (* h h)))
8.1b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
3.8b
(- (* 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
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
43.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
12.0ms
(sqrt (- (* g g) (* h h)))
10.0ms
(sqrt (- (* g g) (* h h)))
8.0ms
(- (* g g) (* h h))

series609.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
442.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
63.0ms
(sqrt (- (* g g) (* h h)))
63.0ms
(sqrt (- (* g g) (* h h)))
41.0ms
(- (* g g) (* h h))

simplify4.0s

Counts
39 → 85
Calls
39 calls:
Slowest
421.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
313.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
303.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
249.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ -1 a))) (log (/ -1 g))))) (cbrt -1/2))
246.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune1.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 31.2b

localize86.0ms

Local error

Found 4 expressions with local error:

31.2b
(sqrt (- (* g g) (* h h)))
31.2b
(sqrt (- (* g g) (* h h)))
3.8b
(- (* g g) (* h h))
3.8b
(- (* g g) (* h h))

rewrite74.0ms

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
20.0ms
(sqrt (- (* g g) (* h h)))
19.0ms
(sqrt (- (* g g) (* h h)))
17.0ms
(- (* g g) (* h h))
16.0ms
(- (* g g) (* h h))

series243.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
84.0ms
(sqrt (- (* g g) (* h h)))
61.0ms
(sqrt (- (* g g) (* h h)))
56.0ms
(- (* g g) (* h h))
42.0ms
(- (* g g) (* h h))

simplify2.6s

Counts
38 → 86
Calls
38 calls:
Slowest
327.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
325.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
286.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
245.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
166.0ms
(sqrt (* (cbrt (- (* g g) (* h h))) (cbrt (- (* g g) (* h h)))))

prune1.7s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 31.2b

localize76.0ms

Local error

Found 4 expressions with local error:

31.2b
(sqrt (- (* g g) (* h h)))
31.2b
(sqrt (- (* g g) (* h h)))
8.1b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
3.8b
(- (* g g) (* h h))

rewrite110.0ms

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
58.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
19.0ms
(sqrt (- (* g g) (* h h)))
17.0ms
(- (* g g) (* h h))
14.0ms
(sqrt (- (* g g) (* h h)))

series595.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
421.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
62.0ms
(- (* g g) (* h h))
57.0ms
(sqrt (- (* g g) (* h h)))
55.0ms
(sqrt (- (* g g) (* h h)))

simplify4.1s

Counts
39 → 85
Calls
39 calls:
Slowest
389.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
320.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
309.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
287.0ms
(cbrt (* 1 (+ (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
259.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))

prune1.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 31.1b

regimes1.3s

Accuracy

45.5% (2.0b remaining)

Error of 31.6b against oracle of 29.5b and baseline of 33.3b

bsearch215.0ms

end0.0ms

sample7.8s

Algorithm
intervals
Results
2.9s3717×body320valid
2.3s4128×body160valid
2.1s8082×body80nan
29.0ms155×body80valid