Details

Time bar (total: 35.8s)

sample256.0ms

Algorithm
intervals
Results
102.0ms122×body320valid
64.0ms130×body160valid
59.0ms294×body80nan
1.0ms4×body80valid

simplify333.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
333.0ms
(+ (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: 37.1b

localize41.0ms

Local error

Found 4 expressions with local error:

31.4b
(sqrt (- (* g g) (* h h)))
31.4b
(sqrt (- (* g g) (* h h)))
9.4b
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
8.6b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×cbrt-prod
10×*-un-lft-identity
9×sqrt-prod
8×add-cube-cbrt
6×pow1 cbrt-div times-frac
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 pow1/3 associate-*r/ flip-+ flip--
1×associate-*l/ div-inv distribute-lft-out--
Counts
4 → 77
Calls
4 calls:
Slowest
19.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
15.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
10.0ms
(sqrt (- (* g g) (* h h)))
10.0ms
(sqrt (- (* g g) (* h h)))

series906.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
415.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
376.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
66.0ms
(sqrt (- (* g g) (* h h)))
49.0ms
(sqrt (- (* g g) (* h h)))

simplify6.2s

Counts
45 → 89
Calls
45 calls:
Slowest
414.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
370.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
358.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
349.0ms
(- (+ (* 1/18 (* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ 1 (sqrt -1))) (+ (* 5 (log h)) (log a))))) (pow g 2)))) (* (cbrt 1/2) (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))))) (* 1/3 (* (cbrt 1/2) (* g (exp (* 1/3 (- (log -1) (+ (* 2 (log h)) (log a)))))))))
346.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 32.5b

localize50.0ms

Local error

Found 4 expressions with local error:

31.4b
(sqrt (- (* g g) (* h h)))
31.4b
(sqrt (- (* g g) (* h h)))
8.6b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
3.6b
(- (* g g) (* h h))

rewrite56.0ms

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
20.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
14.0ms
(sqrt (- (* g g) (* h h)))
8.0ms
(- (* g g) (* h h))

series614.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
452.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
65.0ms
(sqrt (- (* g g) (* h h)))
62.0ms
(sqrt (- (* g g) (* h h)))
34.0ms
(- (* g g) (* h h))

simplify3.9s

Counts
39 → 85
Calls
39 calls:
Slowest
343.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
320.0ms
(cbrt (* (/ -1/2 a) (+ (pow g 3) (pow (sqrt (- (* g g) (* h h))) 3))))
295.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
274.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
259.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))

prune1.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 31.9b

localize60.0ms

Local error

Found 4 expressions with local error:

31.4b
(sqrt (- (* g g) (* h h)))
31.4b
(sqrt (- (* g g) (* h h)))
3.6b
(- (* g g) (* h h))
3.6b
(- (* 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×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
27.0ms
(sqrt (- (* g g) (* h h)))
12.0ms
(- (* g g) (* h h))
12.0ms
(sqrt (- (* g g) (* h h)))
9.0ms
(- (* g g) (* h h))

series227.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
72.0ms
(sqrt (- (* g g) (* h h)))
71.0ms
(sqrt (- (* g g) (* h h)))
46.0ms
(- (* g g) (* h h))
37.0ms
(- (* g g) (* h h))

simplify3.0s

Counts
38 → 86
Calls
38 calls:
Slowest
698.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
369.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
257.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
242.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
193.0ms
(/ (exp (* g g)) (exp (* h h)))

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 31.8b

localize63.0ms

Local error

Found 4 expressions with local error:

31.4b
(sqrt (- (* g g) (* h h)))
31.4b
(sqrt (- (* g g) (* h h)))
8.6b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
3.6b
(- (* g g) (* h h))

rewrite62.0ms

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
18.0ms
(sqrt (- (* g g) (* h h)))
15.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
12.0ms
(- (* g g) (* h h))

series576.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
404.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
64.0ms
(sqrt (- (* g g) (* h h)))
62.0ms
(sqrt (- (* g g) (* h h)))
46.0ms
(- (* g g) (* h h))

simplify3.9s

Counts
39 → 85
Calls
39 calls:
Slowest
365.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
315.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
275.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
265.0ms
(cbrt (* (/ -1/2 a) (+ (pow g 3) (pow (sqrt (- (* g g) (* h h))) 3))))
244.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 31.8b

regimes703.0ms

Accuracy

64.7% (1.4b remaining)

Error of 30.6b against oracle of 29.2b and baseline of 33.1b

bsearch479.0ms

end0.0ms

sample8.1s

Algorithm
intervals
Results
3.2s3724×body320valid
2.5s4118×body160valid
1.9s8015×body80nan
70.0ms158×body80valid