Details

Time bar (total: 1.2m)

sample183.0ms

Algorithm
intervals
Results
59.0ms119×body320valid
57.0ms133×body160valid
44.0ms258×body80nan
1.0ms4×body80valid

simplify337.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
337.0ms
(+ (cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h)))))))

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 38.0b

localize46.0ms

Local error

Found 4 expressions with local error:

33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))
11.0b
(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ a 1/2)))
8.9b
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))

rewrite61.0ms

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
22.0ms
(sqrt (- (* g g) (* h h)))
13.0ms
(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ a 1/2)))
12.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
8.0ms
(sqrt (- (* g g) (* h h)))

series757.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
323.0ms
(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (/ a 1/2)))
298.0ms
(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ a 1/2)))
68.0ms
(sqrt (- (* g g) (* h h)))
67.0ms
(sqrt (- (* g g) (* h h)))

simplify26.4s

Counts
209 → 245
Calls
209 calls:
Slowest
659.0ms
(cbrt (/ (sqrt (- (sqrt (- (* g g) (* h h))) g)) (/ (* (cbrt a) (cbrt a)) (* (cbrt 1/2) (cbrt 1/2)))))
378.0ms
(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)))))
358.0ms
(cbrt (/ (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (/ 1 (* (cbrt 1/2) (cbrt 1/2)))))
357.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
339.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (+ (log (/ 1 a)) (+ (log (/ 1 g)) (log -1/2))) (* 2 (log (/ 1 h)))))))

prune4.0s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 34.2b

localize76.0ms

Local error

Found 4 expressions with local error:

33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))
11.0b
(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ a 1/2)))
3.8b
(- (* g g) (* h h))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
123×add-sqr-sqrt
121×*-un-lft-identity
96×cbrt-prod
69×add-cube-cbrt
29×difference-of-squares
26×distribute-lft-out--
21×sqrt-prod
13×distribute-rgt-neg-in
8×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 → 154
Calls
4 calls:
Slowest
25.0ms
(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ a 1/2)))
14.0ms
(sqrt (- (* g g) (* h h)))
14.0ms
(- (* g g) (* h h))
14.0ms
(sqrt (- (* g g) (* h h)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
275.0ms
(cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ a 1/2)))
79.0ms
(sqrt (- (* g g) (* h h)))
57.0ms
(- (* g g) (* h h))
57.0ms
(sqrt (- (* g g) (* h h)))

simplify14.6s

Counts
128 → 166
Calls
128 calls:
Slowest
367.0ms
(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)))))
345.0ms
(* (exp (* 1/3 (- (+ (log 2) (log (/ 1 a))) (log (/ 1 g))))) (cbrt -1/2))
345.0ms
(cbrt (/ (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (/ (* (cbrt a) (cbrt a)) (sqrt 1/2))))
328.0ms
(cbrt (/ (* (cbrt (- (- g) (sqrt (- (* g g) (* h h))))) (cbrt (- (- g) (sqrt (- (* g g) (* h h)))))) (/ 1 (* (cbrt 1/2) (cbrt 1/2)))))
310.0ms
(cbrt (/ (sqrt (- (- g) (sqrt (- (* g g) (* h h))))) (/ (* (cbrt a) (cbrt a)) (* (cbrt 1/2) (cbrt 1/2)))))

prune3.7s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 33.3b

localize103.0ms

Local error

Found 4 expressions with local error:

33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))

rewrite47.0ms

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
Counts
4 → 68
Calls
4 calls:
Slowest
14.0ms
(sqrt (- (* g g) (* h h)))
13.0ms
(sqrt (- (* g g) (* h h)))
12.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
69.0ms
(sqrt (- (* g g) (* h h)))
64.0ms
(sqrt (- (* g g) (* h h)))
64.0ms
(sqrt (- (* g g) (* h h)))
57.0ms
(sqrt (- (* g g) (* h h)))

simplify3.4s

Counts
44 → 80
Calls
44 calls:
Slowest
405.0ms
(- (* g g) (* h h))
227.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
225.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))
225.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
212.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune1.8s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 33.3b

localize151.0ms

Local error

Found 4 expressions with local error:

34.1b
(cbrt (- (* g g) (* h h)))
34.1b
(cbrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))
33.0b
(sqrt (- (* g g) (* h h)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×cbrt-prod *-un-lft-identity add-cube-cbrt sqrt-prod
6×pow1
4×cbrt-div flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 64
Calls
4 calls:
Slowest
17.0ms
(cbrt (- (* g g) (* h h)))
11.0ms
(sqrt (- (* g g) (* h h)))
10.0ms
(cbrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
150.0ms
(cbrt (- (* g g) (* h h)))
128.0ms
(cbrt (- (* g g) (* h h)))
68.0ms
(sqrt (- (* g g) (* h h)))
62.0ms
(sqrt (- (* g g) (* h h)))

simplify3.7s

Counts
40 → 76
Calls
40 calls:
Slowest
297.0ms
(- (exp (* 1/3 (+ (* 2 (log h)) (log -1)))) (* 1/3 (* (pow g 2) (exp (* 1/3 (- (log -1) (* 4 (log h))))))))
293.0ms
(- (exp (* 1/3 (+ (* 2 (log h)) (log -1)))) (* 1/3 (* (pow g 2) (exp (* 1/3 (- (log -1) (* 4 (log h))))))))
263.0ms
(sqrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
255.0ms
(cbrt (- (* (* g g) (* g g)) (* (* h h) (* h h))))
227.0ms
(sqrt (- (pow (* g g) 3) (pow (* h h) 3)))

prune2.3s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 33.3b

regimes1.0s

Accuracy

0% (2.4b remaining)

Error of 32.4b against oracle of 30.1b and baseline of 32.4b

bsearch19.0ms

end0.0ms

sample7.5s

Algorithm
intervals
Results
3.3s3667×body320valid
1.9s4164×body160valid
1.8s8179×body80nan
32.0ms169×body80valid