Details

Time bar (total: 1.4m)

sample196.0ms

Algorithm
intervals
Results
68.0ms126×body160valid
59.0ms124×body320valid
43.0ms260×body80nan
1.0ms6×body80valid

simplify322.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
322.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.0b

localize75.0ms

Local error

Found 4 expressions with local error:

27.1b
(sqrt (- (* g g) (* h h)))
27.1b
(sqrt (- (* g g) (* h h)))
8.4b
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
8.1b
(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ a 1/2)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
286×times-frac
231×add-sqr-sqrt
203×*-un-lft-identity
179×cbrt-prod
125×add-cube-cbrt
54×difference-of-squares
39×distribute-lft-out--
34×sqrt-prod
15×div-inv
13×distribute-rgt-neg-in
6×pow1
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16 add-log-exp
2×rem-sqrt-square cbrt-div sqrt-pow1 flip3-- pow1/2 pow1/3 associate-/r/ flip--
Counts
4 → 233
Calls
4 calls:
Slowest
25.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
23.0ms
(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ a 1/2)))
14.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(sqrt (- (* g g) (* h h)))

series828.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
367.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
342.0ms
(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ a 1/2)))
62.0ms
(sqrt (- (* g g) (* h h)))
56.0ms
(sqrt (- (* g g) (* h h)))

simplify28.2s

Counts
209 → 245
Calls
209 calls:
Slowest
748.0ms
(cbrt (/ (* (cbrt (- (sqrt (- (* g g) (* h h))) g)) (cbrt (- (sqrt (- (* g g) (* h h))) g))) (/ (* (cbrt a) (cbrt a)) (* (cbrt 1/2) (cbrt 1/2)))))
415.0ms
(cbrt (/ (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (/ 1 (* (cbrt 1/2) (cbrt 1/2)))))
415.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
374.0ms
(cbrt (/ (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (/ (* (cbrt a) (cbrt a)) (* (cbrt 1/2) (cbrt 1/2)))))
363.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))

prune4.6s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 28.4b

localize82.0ms

Local error

Found 4 expressions with local error:

27.1b
(sqrt (- (* g g) (* h h)))
27.1b
(sqrt (- (* g g) (* h h)))
8.4b
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
3.0b
(- (* g g) (* h h))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
116×add-sqr-sqrt
88×*-un-lft-identity
83×cbrt-prod
62×add-cube-cbrt
29×difference-of-squares
21×sqrt-prod
13×distribute-lft-out--
7×div-inv
6×pow1 add-log-exp
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16
3×flip3-- flip--
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-div sub-neg pow1/3 diff-log associate-/r/
Counts
4 → 141
Calls
4 calls:
Slowest
12.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
8.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(- (* g g) (* h h))
7.0ms
(sqrt (- (* g g) (* h h)))

series496.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
329.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
64.0ms
(sqrt (- (* g g) (* h h)))
60.0ms
(sqrt (- (* g g) (* h h)))
42.0ms
(- (* g g) (* h h))

simplify14.6s

Counts
115 → 153
Calls
115 calls:
Slowest
558.0ms
(cbrt (/ (sqrt (- (sqrt (- (* g g) (* h h))) g)) (/ (* (cbrt a) (cbrt a)) 1)))
363.0ms
(cbrt (/ (* (cbrt (- (sqrt (- (* g g) (* h h))) g)) (cbrt (- (sqrt (- (* g g) (* h h))) g))) (/ 1 (* (cbrt 1/2) (cbrt 1/2)))))
337.0ms
(cbrt (/ (* (cbrt (- (sqrt (- (* g g) (* h h))) g)) (cbrt (- (sqrt (- (* g g) (* h h))) g))) (/ (* (cbrt a) (cbrt a)) (sqrt 1/2))))
334.0ms
(cbrt (/ (* (cbrt (- (sqrt (- (* g g) (* h h))) g)) (cbrt (- (sqrt (- (* g g) (* h h))) g))) (/ (* (cbrt a) (cbrt a)) (* (cbrt 1/2) (cbrt 1/2)))))
312.0ms
(- (+ (* 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)))))))))

prune3.0s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 27.8b

localize66.0ms

Local error

Found 4 expressions with local error:

27.1b
(sqrt (- (* g g) (* h h)))
27.1b
(sqrt (- (* g g) (* h h)))
3.0b
(- (* g g) (* h h))
3.0b
(- (* g g) (* h h))

rewrite53.0ms

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
Counts
4 → 62
Calls
4 calls:
Slowest
14.0ms
(- (* g g) (* h h))
14.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(- (* g g) (* h h))
9.0ms
(sqrt (- (* g g) (* h h)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(sqrt (- (* g g) (* h h)))
59.0ms
(- (* g g) (* h h))
58.0ms
(sqrt (- (* g g) (* h h)))
34.0ms
(- (* g g) (* h h))

simplify2.0s

Counts
34 → 74
Calls
34 calls:
Slowest
291.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
271.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
227.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
209.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
165.0ms
(/ (exp (* g g)) (exp (* h h)))

prune1.5s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 27.8b

localize101.0ms

Local error

Found 4 expressions with local error:

27.1b
(sqrt (- (* g g) (* h h)))
27.1b
(sqrt (- (* g g) (* h h)))
8.4b
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
3.0b
(- (* g g) (* h h))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
116×add-sqr-sqrt
88×*-un-lft-identity
83×cbrt-prod
62×add-cube-cbrt
29×difference-of-squares
21×sqrt-prod
13×distribute-lft-out--
7×div-inv
6×pow1 add-log-exp
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16
3×flip3-- flip--
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-div sub-neg pow1/3 diff-log associate-/r/
Counts
4 → 141
Calls
4 calls:
Slowest
13.0ms
(- (* g g) (* h h))
12.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
7.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
342.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
63.0ms
(sqrt (- (* g g) (* h h)))
60.0ms
(sqrt (- (* g g) (* h h)))
55.0ms
(- (* g g) (* h h))

simplify14.4s

Counts
115 → 153
Calls
115 calls:
Slowest
391.0ms
(cbrt (/ (* (cbrt (- (sqrt (- (* g g) (* h h))) g)) (cbrt (- (sqrt (- (* g g) (* h h))) g))) (/ (* (cbrt a) (cbrt a)) (* (cbrt 1/2) (cbrt 1/2)))))
379.0ms
(cbrt (/ (* (cbrt (- (sqrt (- (* g g) (* h h))) g)) (cbrt (- (sqrt (- (* g g) (* h h))) g))) (/ (* (cbrt a) (cbrt a)) (sqrt 1/2))))
357.0ms
(cbrt (/ (* (cbrt (- (sqrt (- (* g g) (* h h))) g)) (cbrt (- (sqrt (- (* g g) (* h h))) g))) (/ 1 (* (cbrt 1/2) (cbrt 1/2)))))
337.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))
312.0ms
(cbrt (/ (* (cbrt (- (sqrt (- (* g g) (* h h))) g)) (cbrt (- (sqrt (- (* g g) (* h h))) g))) (/ (* (cbrt a) (cbrt a)) 1)))

prune3.5s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 27.8b

regimes933.0ms

Accuracy

58.9% (1.5b remaining)

Error of 31.0b against oracle of 29.6b and baseline of 33.1b

bsearch209.0ms

end0.0ms

sample7.0s

Algorithm
intervals
Results
2.5s3687×body320valid
2.1s8263×body80nan
2.1s4157×body160valid
30.0ms156×body80valid