Details

Time bar (total: 35.7s)

sample164.0ms

Algorithm
intervals
Results
60.0ms277×body80nan
46.0ms116×body320valid
36.0ms136×body160valid
0.0ms4×body80valid

simplify755.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
755.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.1b

localize44.0ms

Local error

Found 4 expressions with local error:

29.4b
(sqrt (- (* g g) (* h h)))
29.4b
(sqrt (- (* g g) (* h h)))
9.9b
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
7.4b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))

rewrite72.0ms

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
24.0ms
(sqrt (- (* g g) (* h h)))
17.0ms
(sqrt (- (* g g) (* h h)))
15.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
14.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))

series939.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
429.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
351.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* a 2)))
85.0ms
(sqrt (- (* g g) (* h h)))
74.0ms
(sqrt (- (* g g) (* h h)))

simplify6.1s

Counts
45 → 89
Calls
45 calls:
Slowest
354.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
333.0ms
(- (+ (* 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)))))))))
320.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
314.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
305.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ -1 a))) (log (/ -1 g))))) (cbrt -1/2))

prune1.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 30.4b

localize54.0ms

Local error

Found 4 expressions with local error:

29.4b
(sqrt (- (* g g) (* h h)))
29.4b
(sqrt (- (* g g) (* h h)))
7.4b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
2.6b
(- (* g g) (* h h))

rewrite57.0ms

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)))
16.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
8.0ms
(- (* g g) (* h h))

series601.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
419.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
75.0ms
(sqrt (- (* g g) (* h h)))
64.0ms
(sqrt (- (* g g) (* h h)))
44.0ms
(- (* g g) (* h h))

simplify4.1s

Counts
39 → 85
Calls
39 calls:
Slowest
367.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
336.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
313.0ms
(cbrt (* (/ -1/2 a) (+ (pow g 3) (pow (sqrt (- (* g g) (* h h))) 3))))
305.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
261.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))

prune1.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 29.8b

localize58.0ms

Local error

Found 4 expressions with local error:

29.4b
(sqrt (- (* g g) (* h h)))
29.4b
(sqrt (- (* g g) (* h h)))
2.6b
(- (* g g) (* h h))
2.6b
(- (* g g) (* h h))

rewrite39.0ms

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
12.0ms
(- (* g g) (* h h))
9.0ms
(sqrt (- (* g g) (* h h)))
9.0ms
(sqrt (- (* g g) (* h h)))
8.0ms
(- (* g g) (* h h))

series239.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(sqrt (- (* g g) (* h h)))
63.0ms
(sqrt (- (* g g) (* h h)))
55.0ms
(- (* g g) (* h h))
44.0ms
(- (* g g) (* h h))

simplify2.7s

Counts
38 → 86
Calls
38 calls:
Slowest
382.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
334.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
251.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
204.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
194.0ms
(/ (exp (* g g)) (exp (* h h)))

prune1.7s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 29.8b

localize49.0ms

Local error

Found 4 expressions with local error:

29.4b
(sqrt (- (* g g) (* h h)))
29.4b
(sqrt (- (* g g) (* h h)))
7.4b
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
2.6b
(- (* g g) (* h h))

rewrite82.0ms

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
27.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
20.0ms
(- (* g g) (* h h))
19.0ms
(sqrt (- (* g g) (* h h)))
16.0ms
(sqrt (- (* g g) (* h h)))

series597.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
416.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (- (* g g) (* h h))))))
74.0ms
(sqrt (- (* g g) (* h h)))
65.0ms
(sqrt (- (* g g) (* h h)))
41.0ms
(- (* g g) (* h h))

simplify4.3s

Counts
39 → 85
Calls
39 calls:
Slowest
398.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
335.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
323.0ms
(* (exp (* 1/3 (- (+ (log (sqrt -1)) (log h)) (log a)))) (cbrt -1/2))
296.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
280.0ms
(cbrt (* (/ -1/2 a) (+ (pow g 3) (pow (sqrt (- (* g g) (* h h))) 3))))

prune2.0s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 29.8b

regimes919.0ms

Accuracy

0% (2.0b remaining)

Error of 31.5b against oracle of 29.5b and baseline of 31.5b

bsearch4.0ms

end0.0ms

sample7.2s

Algorithm
intervals
Results
2.5s3750×body320valid
2.3s4083×body160valid
2.0s7948×body80nan
28.0ms167×body80valid