Details

Time bar (total: 21.3s)

sample272.0ms

Algorithm
intervals
Results
60.0ms284×body80nan
40.0ms256×body80valid

simplify68.0ms

Counts
1 → 1
Iterations
IterNodes
423
323
221
118
09

prune14.0ms

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

rewrite58.0ms

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:
18.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
33.0ms
(/ (- 1 x) (+ 1 x))

series150.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
63.0ms
(/ (- 1 x) (+ 1 x))

simplify2.8s

Counts
112 → 112
Iterations
IterNodes
44192
31576
2707
1333
0168

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize32.0ms

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)))

rewrite263.0ms

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×pow-sqr pow-prod-up insert-posit16 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 → 276
Calls
4 calls:
156.0ms
(* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))))
15.0ms
(/ (- 1 x) (cbrt (+ 1 x)))
34.0ms
(/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
46.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))))
94.0ms
(/ (- 1 x) (cbrt (+ 1 x)))
65.0ms
(/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
69.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))

simplify1.8s

Counts
288 → 288
Iterations
IterNodes
23197
11009
0359

prune3.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

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))

rewrite66.0ms

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×associate-/r* flip3-- associate-/r/ insert-posit16 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 → 169
Calls
4 calls:
5.0ms
(sqrt (- 1 x))
1.0ms
(atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)))))
44.0ms
(* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)))
14.0ms
(/ (sqrt (- 1 x)) (+ 1 x))

series139.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(sqrt (- 1 x))
3.0ms
(atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)))))
24.0ms
(* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)))
87.0ms
(/ (sqrt (- 1 x)) (+ 1 x))

simplify1.7s

Counts
181 → 181
Iterations
IterNodes
35049
21432
1507
0215

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

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)))))

rewrite165.0ms

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×flip3-+ sqrt-div flip-+ insert-posit16 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 → 207
Calls
4 calls:
15.0ms
(/ (- 1 x) (+ x 1))
22.0ms
(/ (- 1 x) (+ x 1))
94.0ms
(* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1))))
30.0ms
(cbrt (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))))

series244.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (- 1 x) (+ x 1))
40.0ms
(/ (- 1 x) (+ x 1))
113.0ms
(* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1))))
50.0ms
(cbrt (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))))

simplify2.1s

Counts
219 → 219
Iterations
IterNodes
34369
21416
1558
0225

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
218
118
013

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s8000×body80valid
825.0ms8070×body80nan