Details

Time bar (total: 21.6s)

sample301.0ms

Algorithm
intervals
Results
106.0ms256×body80valid
40.0ms264×body80nan

simplify93.0ms

Counts
1 → 1

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(sqrt (/ (- 1 x) (+ 1 x)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
56×add-sqr-sqrt
49×times-frac
30×sqrt-prod
26×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
5×add-cbrt-cube add-exp-log
4×pow1 associate-/r* associate-/r/
3×insert-posit16 add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
3 → 103
Calls
3 calls:
Slowest
30.0ms
(/ (- 1 x) (+ 1 x))
17.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
3.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series144.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
69.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
56.0ms
(/ (- 1 x) (+ 1 x))
18.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify2.8s

Counts
112 → 112

prune987.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
0.0b
(atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))))
0.0b
(cbrt (/ (- 1 x) (+ 1 x)))
0.0b
(cbrt (/ (- 1 x) (+ 1 x)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
330×*-un-lft-identity
240×cbrt-prod
198×times-frac
190×add-sqr-sqrt
82×add-cube-cbrt
57×swap-sqr
56×distribute-lft-out difference-of-squares
40×distribute-lft-out--
33×associate-*r* associate-*l*
12×associate-/r/
11×pow1
9×unswap-sqr
8×pow1/3
6×cbrt-div flip3-+ add-exp-log flip-+ div-inv
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 242
Calls
4 calls:
Slowest
65.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
10.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
10.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
87.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
84.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
72.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
3.0ms
(atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))))

simplify1.1s

Counts
254 → 254

prune3.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))
0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
9×add-cbrt-cube add-exp-log
6×add-sqr-sqrt pow-plus pow-prod-up
5×*-un-lft-identity add-cube-cbrt
4×insert-posit16 add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow2 pow-sqr
1×associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 53
Calls
4 calls:
Slowest
30.0ms
(* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))
7.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
57.0ms
(* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))
4.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
4.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
4.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify3.4s

Counts
65 → 65

prune715.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cbrt (- 1 x)) (sqrt (+ 1 x)))
0.0b
(* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))
0.0b
(/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))
0.0b
(atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
169×*-un-lft-identity
167×add-sqr-sqrt
162×times-frac
99×sqrt-prod
96×cbrt-prod
80×add-cube-cbrt
69×associate-*r*
32×add-exp-log
30×difference-of-squares
22×add-cbrt-cube distribute-lft-out
15×distribute-lft-out-- unswap-sqr
14×cbrt-div associate-/r*
13×associate-*l*
10×cbrt-undiv div-exp associate-/l* associate-/l/
9×prod-exp cbrt-unprod
8×sqrt-div associate-/r/
7×flip3-- flip--
6×pow1
5×frac-times
4×flip3-+ flip-+ insert-posit16 div-inv add-log-exp
3×associate-*l/ associate-*r/
2×clear-num frac-2neg
1×pow-prod-down *-commutative
Counts
4 → 266
Calls
4 calls:
Slowest
123.0ms
(* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))
36.0ms
(/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))
32.0ms
(/ (cbrt (- 1 x)) (sqrt (+ 1 x)))
1.0ms
(atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))

series309.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))
118.0ms
(/ (cbrt (- 1 x)) (sqrt (+ 1 x)))
38.0ms
(* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))
5.0ms
(atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))

simplify1.9s

Counts
278 → 278

prune3.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch3.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s8000×body80valid
835.0ms8129×body80nan