Details

Time bar (total: 32.5s)

sample261.0ms

Algorithm
intervals
Results
123.0ms132×body320valid
63.0ms318×body80nan
50.0ms120×body160valid
1.0ms4×body80valid

simplify653.0ms

Calls
1 calls:
Slowest
653.0ms
(+ (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: 34.1b

localize52.0ms

Local error

Found 4 expressions with local error:

29.7b
(sqrt (- (* g g) (* h h)))
29.7b
(sqrt (- (* g g) (* h h)))
7.7b
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
6.8b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))

rewrite125.0ms

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
58.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
50.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))

series901.0ms

Calls
4 calls:
Slowest
417.0ms
(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
378.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
56.0ms
(sqrt (- (* g g) (* h h)))
49.0ms
(sqrt (- (* g g) (* h h)))

simplify5.3s

Calls
40 calls:
Slowest
549.0ms
(cbrt (* (/ 1 (* 2 a)) (- (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
373.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
352.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
258.0ms
(cbrt (* 1 (- (pow (- g) 3) (pow (sqrt (- (* g g) (* h h))) 3))))
256.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 30.0b

localize72.0ms

Local error

Found 4 expressions with local error:

29.7b
(sqrt (- (* g g) (* h h)))
29.7b
(sqrt (- (* g g) (* h h)))
6.8b
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
3.2b
(- (* g g) (* h h))

rewrite67.0ms

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
35.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
12.0ms
(- (* g g) (* h h))
11.0ms
(sqrt (- (* g g) (* h h)))
8.0ms
(sqrt (- (* g g) (* h h)))

series597.0ms

Calls
4 calls:
Slowest
411.0ms
(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
70.0ms
(sqrt (- (* g g) (* h h)))
63.0ms
(sqrt (- (* g g) (* h h)))
53.0ms
(- (* g g) (* h h))

simplify3.6s

Calls
37 calls:
Slowest
345.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
262.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
261.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))
252.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ -1 a))) (log (/ -1 g))))) (cbrt -1/2))
250.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))

prune1.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 28.8b

localize68.0ms

Local error

Found 4 expressions with local error:

29.7b
(sqrt (- (* g g) (* h h)))
29.7b
(sqrt (- (* g g) (* h h)))
3.2b
(- (* g g) (* h h))
3.2b
(- (* 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
15.0ms
(sqrt (- (* g g) (* h h)))
15.0ms
(- (* g g) (* h h))
15.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(- (* g g) (* h h))

series207.0ms

Calls
4 calls:
Slowest
84.0ms
(sqrt (- (* g g) (* h h)))
51.0ms
(sqrt (- (* g g) (* h h)))
37.0ms
(- (* g g) (* h h))
35.0ms
(- (* g g) (* h h))

simplify2.0s

Calls
34 calls:
Slowest
238.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
220.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
186.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
184.0ms
(/ (exp (* g g)) (exp (* h h)))
164.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune1.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 28.8b

localize103.0ms

Local error

Found 4 expressions with local error:

29.7b
(sqrt (- (* g g) (* h h)))
29.7b
(sqrt (- (* g g) (* h h)))
29.7b
(sqrt (- (* g g) (* h h)))
29.7b
(sqrt (- (* g g) (* h h)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-prod
12×add-sqr-sqrt
8×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
4×rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log insert-posit16 flip-- add-log-exp difference-of-squares
Calls
4 calls:
Slowest
14.0ms
(sqrt (- (* g g) (* h h)))
13.0ms
(sqrt (- (* g g) (* h h)))
13.0ms
(sqrt (- (* g g) (* h h)))
13.0ms
(sqrt (- (* g g) (* h h)))

series270.0ms

Calls
4 calls:
Slowest
77.0ms
(sqrt (- (* g g) (* h h)))
71.0ms
(sqrt (- (* g g) (* h h)))
68.0ms
(sqrt (- (* g g) (* h h)))
53.0ms
(sqrt (- (* g g) (* h h)))

simplify3.2s

Calls
44 calls:
Slowest
264.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
239.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
232.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
220.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
213.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune1.7s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 28.8b

regimes1.3s

Accuracy

57.3% (1.7b remaining)

Error of 30.6b against oracle of 28.9b and baseline of 32.9b

bsearch347.0ms

end1.0ms

sample7.4s

Algorithm
intervals
Results
3.3s3662×body320valid
2.1s8100×body80nan
1.7s4161×body160valid
29.0ms177×body80valid