Details

Time bar (total: 16.3s)

sample41.0ms

Algorithm
intervals
Results
10.0ms276×body80nan
10.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
2116
done116

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(sqrt (- 1.0 (* x x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×sqrt-prod add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
10.0ms
(- 1.0 (* x x))
12.0ms
(sqrt (- 1.0 (* x x)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- 1.0 (* x x))
120.0ms
(sqrt (- 1.0 (* x x)))

simplify1.2s

Counts
35 → 35
Iterations

Useful iterations: done (1.2s)

IterNodesCost
076386
1168351
2467325
31617319
done5001316

prune131.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* x x))
0.0b
(sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))
0.0b
(/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
37×times-frac
24×add-cube-cbrt *-un-lft-identity sqrt-prod
21×difference-of-squares
7×unpow-prod-down sqr-pow
6×associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 associate-/r/
3×flip3-+ associate-/r* flip-+
2×rem-sqrt-square div-inv associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num sum-log flip--
Counts
3 → 91
Calls
3 calls:
6.0ms
(+ 1.0 (* x x))
24.0ms
(sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))
45.0ms
(/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))

series422.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ 1.0 (* x x))
185.0ms
(sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))
199.0ms
(/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))

simplify3.6s

Counts
100 → 100
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01922073
14161958
212401843
347411583
done50001583

prune351.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* 1.0 1.0) (pow x 4)))
0.0b
(sqrt (- (* 1.0 1.0) (pow x 4)))
0.0b
(sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (/ (+ 1.0 (* x x)) (sqrt (- (* 1.0 1.0) (pow x 4))))))
0.0b
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (/ (+ 1.0 (* x x)) (sqrt (- (* 1.0 1.0) (pow x 4)))))

rewrite423.0ms

Algorithm
rewrite-expression-head
Rules
1117×times-frac
1063×sqrt-prod
716×add-sqr-sqrt
445×add-cube-cbrt *-un-lft-identity
378×difference-of-squares
126×unpow-prod-down sqr-pow
45×sqrt-div
40×associate-/r/
33×associate-/r*
22×flip3-- flip--
21×div-inv
9×add-exp-log rem-sqrt-square add-cbrt-cube associate-/l*
7×pow1
4×add-log-exp
3×cbrt-undiv sqrt-pow1 pow1/2 div-exp
2×associate-/l/
1×frac-2neg clear-num
Counts
4 → 711
Calls
4 calls:
29.0ms
(sqrt (- (* 1.0 1.0) (pow x 4)))
33.0ms
(sqrt (- (* 1.0 1.0) (pow x 4)))
137.0ms
(sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (/ (+ 1.0 (* x x)) (sqrt (- (* 1.0 1.0) (pow x 4))))))
111.0ms
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (/ (+ 1.0 (* x x)) (sqrt (- (* 1.0 1.0) (pow x 4)))))

series616.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(sqrt (- (* 1.0 1.0) (pow x 4)))
162.0ms
(sqrt (- (* 1.0 1.0) (pow x 4)))
132.0ms
(sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (/ (+ 1.0 (* x x)) (sqrt (- (* 1.0 1.0) (pow x 4))))))
178.0ms
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (/ (+ 1.0 (* x x)) (sqrt (- (* 1.0 1.0) (pow x 4)))))

simplify4.7s

Counts
723 → 723
Iterations

Useful iterations: 2 (3.0s)

IterNodesCost
0106433286
1177330505
2494228240
done500128240

prune3.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
11324
done1324

end0.0ms

sample1.4s

Algorithm
intervals
Results
697.0ms7937×body80nan
345.0ms8000×body80valid