Details

Time bar (total: 33.1s)

sample200.0ms

Algorithm
intervals
Results
60.0ms104×body320valid
59.0ms149×body160valid
57.0ms255×body80nan
1.0ms3×body80valid

simplify379.0ms

Calls
1 calls:
Slowest
379.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.1b

localize48.0ms

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))))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-div
8×add-sqr-sqrt sqrt-prod
6×pow1 *-un-lft-identity add-cube-cbrt
4×frac-times flip3-- add-cbrt-cube sqrt-div associate-*r/ add-exp-log insert-posit16 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
39.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
33.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
13.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))

series939.0ms

Calls
4 calls:
Slowest
413.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
398.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
78.0ms
(sqrt (- (* g g) (* h h)))
49.0ms
(sqrt (- (* g g) (* h h)))

simplify5.5s

Calls
40 calls:
Slowest
587.0ms
(cbrt (* (/ 1 (* 2 a)) (- (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
406.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
338.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
262.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ -1 a))) (log (/ -1 g))))) (cbrt -1/2))
251.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 27.8b

localize46.0ms

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))

rewrite100.0ms

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×add-cbrt-cube sqrt-div add-exp-log insert-posit16
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 pow1/3 diff-log associate-*l/
Calls
4 calls:
Slowest
51.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
21.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(- (* g g) (* h h))
12.0ms
(sqrt (- (* g g) (* h h)))

series605.0ms

Calls
4 calls:
Slowest
430.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
77.0ms
(sqrt (- (* g g) (* h h)))
58.0ms
(sqrt (- (* g g) (* h h)))
40.0ms
(- (* g g) (* h h))

simplify3.9s

Calls
37 calls:
Slowest
471.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
279.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
274.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
261.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))
257.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 27.6b

localize87.0ms

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))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt
4×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip-- difference-of-squares
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Calls
4 calls:
Slowest
16.0ms
(- (* g g) (* h h))
14.0ms
(- (* g g) (* h h))
14.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(sqrt (- (* g g) (* h h)))

series255.0ms

Calls
4 calls:
Slowest
75.0ms
(sqrt (- (* g g) (* h h)))
74.0ms
(sqrt (- (* g g) (* h h)))
54.0ms
(- (* g g) (* h h))
51.0ms
(- (* g g) (* h h))

simplify2.1s

Calls
34 calls:
Slowest
258.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
237.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
216.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
215.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
183.0ms
(/ (exp (* g g)) (exp (* h h)))

prune1.5s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.6b

localize57.0ms

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))

rewrite73.0ms

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×add-cbrt-cube sqrt-div add-exp-log insert-posit16
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 pow1/3 diff-log associate-*l/
Calls
4 calls:
Slowest
27.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
20.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(- (* g g) (* h h))
11.0ms
(sqrt (- (* g g) (* h h)))

series629.0ms

Calls
4 calls:
Slowest
410.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
87.0ms
(sqrt (- (* g g) (* h h)))
76.0ms
(sqrt (- (* g g) (* h h)))
56.0ms
(- (* g g) (* h h))

simplify3.8s

Calls
37 calls:
Slowest
420.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
319.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ -1 a))) (log (/ -1 g))))) (cbrt -1/2))
272.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
267.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
238.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))

prune1.7s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.5b

regimes1.0s

Accuracy

0% (2.1b remaining)

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

bsearch4.0ms

end0.0ms

sample7.3s

Algorithm
intervals
Results
2.6s3741×body320valid
2.3s4085×body160valid
2.1s8106×body80nan
31.0ms174×body80valid