Details

Time bar (total: 33.5s)

sample185.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
29.0ms284×body80nan

simplify33.0ms

Counts
1 → 1
Iterations
IterNodes
423
323
221
118
09

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 109
Calls
3 calls:
10.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
26.0ms
(/ (- 1 x) (+ 1 x))

series113.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
4.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
53.0ms
(/ (- 1 x) (+ 1 x))

simplify14.5s

Counts
118 → 118
Iterations
IterNodes
46438
31938
2740
1345
0174

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))))
0.0b
(/ (- 1 x) (cbrt (+ 1 x)))
0.0b
(/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
0.1b
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
146×*-un-lft-identity
132×add-sqr-sqrt
102×times-frac
79×cbrt-prod
64×add-exp-log
58×add-cube-cbrt
55×associate-*r*
40×cbrt-div
30×difference-of-squares
24×prod-exp
22×add-cbrt-cube associate-*l*
21×pow1
20×flip3-+ div-exp associate-/r/ flip-+
19×distribute-lft-out
15×distribute-lft-out--
13×frac-times unswap-sqr
12×pow1/3
10×cbrt-undiv cbrt-unprod
9×swap-sqr pow-flip associate-/l*
8×associate-/r*
7×associate-*l/ associate-*r/
6×rec-exp 1-exp
5×pow-prod-down
4×expm1-log1p-u pow-sqr pow-prod-up insert-posit16 log1p-expm1-u div-inv add-log-exp
2×pow2 clear-num frac-2neg pow-plus *-commutative associate-/l/
1×flip3-- div-sub flip-- inv-pow
Counts
4 → 284
Calls
4 calls:
116.0ms
(* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))))
23.0ms
(/ (- 1 x) (cbrt (+ 1 x)))
41.0ms
(/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
55.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))))
56.0ms
(/ (- 1 x) (cbrt (+ 1 x)))
46.0ms
(/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
50.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))

simplify1.2s

Counts
296 → 296
Iterations
IterNodes
23260
11041
0367

prune3.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
95×add-sqr-sqrt
76×times-frac
71×sqrt-prod
45×add-cube-cbrt
42×associate-*r*
22×difference-of-squares
19×distribute-lft-out
11×add-cbrt-cube add-exp-log distribute-lft-out--
9×associate-*l* associate-/l*
8×sqrt-div
7×pow1
6×unswap-sqr
4×expm1-log1p-u associate-/r* flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- add-log-exp
2×frac-times cbrt-undiv flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv associate-/l/
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative
Counts
4 → 177
Calls
4 calls:
7.0ms
(sqrt (- 1 x))
1.0ms
(atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)))))
68.0ms
(* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)))
30.0ms
(/ (sqrt (- 1 x)) (+ 1 x))

series161.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(sqrt (- 1 x))
4.0ms
(atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)))))
37.0ms
(* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)))
78.0ms
(/ (sqrt (- 1 x)) (+ 1 x))

simplify1.9s

Counts
189 → 189
Iterations
IterNodes
34803
21414
1529
0223

prune2.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
157×*-un-lft-identity
124×add-sqr-sqrt
101×times-frac
51×add-cube-cbrt
36×difference-of-squares
34×sqrt-prod
33×associate-*r*
30×associate-*l*
26×distribute-lft-out
18×distribute-lft-out--
13×add-cbrt-cube add-exp-log
12×associate-/l*
9×pow1
8×associate-/r* associate-/r/
6×unswap-sqr
4×expm1-log1p-u flip3-+ sqrt-div flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
3×cbrt-undiv cbrt-div div-exp
2×frac-times clear-num frac-2neg flip3-- div-sub pow3 associate-*l/ prod-exp associate-*r/ pow-prod-up cbrt-unprod flip--
1×cbrt-prod sqrt-pow1 pow1/2 pow1/3 pow-prod-down *-commutative rem-cbrt-cube
Counts
4 → 215
Calls
4 calls:
30.0ms
(/ (- 1 x) (+ x 1))
32.0ms
(/ (- 1 x) (+ x 1))
57.0ms
(* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1))))
21.0ms
(cbrt (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (- 1 x) (+ x 1))
41.0ms
(/ (- 1 x) (+ x 1))
103.0ms
(* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1))))
77.0ms
(cbrt (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))))

simplify2.4s

Counts
227 → 227
Iterations
IterNodes
34573
21471
1575
0231

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
218
118
013

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.4s8000×body80valid
796.0ms8070×body80nan