Details

Time bar (total: 35.1s)

sample248.0ms

Algorithm
intervals
Results
77.0ms130×body320valid
58.0ms120×body160valid
55.0ms289×body80nan
1.0ms6×body80valid

simplify325.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
325.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 34.0b

localize47.0ms

Local error

Found 4 expressions with local error:

27.7b
(sqrt (- (* g g) (* h h)))
27.7b
(sqrt (- (* g g) (* h h)))
8.4b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
7.7b
(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
53.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
36.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
17.0ms
(sqrt (- (* g g) (* h h)))
12.0ms
(sqrt (- (* g g) (* h h)))

series887.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
394.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
357.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
81.0ms
(sqrt (- (* g g) (* h h)))
53.0ms
(sqrt (- (* g g) (* h h)))

simplify5.6s

Counts
40 → 84
Calls
40 calls:
Slowest
366.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
365.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
330.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
294.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))
267.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))

prune1.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 28.6b

localize58.0ms

Local error

Found 4 expressions with local error:

27.7b
(sqrt (- (* g g) (* h h)))
27.7b
(sqrt (- (* g g) (* h h)))
7.7b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
3.2b
(- (* g g) (* h h))

rewrite77.0ms

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
48.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.0ms
(sqrt (- (* g g) (* h h)))
10.0ms
(sqrt (- (* g g) (* h h)))
8.0ms
(- (* g g) (* h h))

series636.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
450.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
78.0ms
(sqrt (- (* g g) (* h h)))
66.0ms
(sqrt (- (* g g) (* h h)))
42.0ms
(- (* g g) (* h h))

simplify3.9s

Counts
39 → 85
Calls
39 calls:
Slowest
322.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
298.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
282.0ms
(cbrt (* 1 (- (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
279.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
272.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune1.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 27.6b

localize62.0ms

Local error

Found 4 expressions with local error:

27.7b
(sqrt (- (* g g) (* h h)))
27.7b
(sqrt (- (* g g) (* h h)))
3.2b
(- (* g g) (* h h))
3.2b
(- (* g g) (* h h))

rewrite49.0ms

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
18.0ms
(- (* g g) (* h h))
13.0ms
(sqrt (- (* g g) (* h h)))
10.0ms
(sqrt (- (* g g) (* h h)))
8.0ms
(- (* g g) (* h h))

series229.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(sqrt (- (* g g) (* h h)))
63.0ms
(sqrt (- (* g g) (* h h)))
53.0ms
(- (* g g) (* h h))
34.0ms
(- (* g g) (* h h))

simplify2.6s

Counts
38 → 86
Calls
38 calls:
Slowest
342.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
332.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
257.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
219.0ms
(/ (exp (* g g)) (exp (* h h)))
213.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune1.7s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 27.6b

localize58.0ms

Local error

Found 4 expressions with local error:

27.7b
(sqrt (- (* g g) (* h h)))
27.7b
(sqrt (- (* g g) (* h h)))
8.4b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
3.2b
(- (* g g) (* h h))

rewrite109.0ms

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
60.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
19.0ms
(sqrt (- (* g g) (* h h)))
15.0ms
(- (* g g) (* h h))
13.0ms
(sqrt (- (* g g) (* h h)))

series657.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
456.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
81.0ms
(sqrt (- (* g g) (* h h)))
62.0ms
(- (* g g) (* h h))
58.0ms
(sqrt (- (* g g) (* h h)))

simplify4.4s

Counts
39 → 85
Calls
39 calls:
Slowest
580.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
500.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
360.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
271.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
263.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))

prune1.4s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 27.6b

regimes1.2s

Accuracy

0% (2.1b remaining)

Error of 31.8b against oracle of 29.7b and baseline of 31.8b

bsearch7.0ms

end0.0ms

sample7.6s

Algorithm
intervals
Results
2.7s4040×body160valid
2.7s3815×body320valid
1.8s7887×body80nan
28.0ms145×body80valid