Details

Time bar (total: 12.5s)

sample106.0ms

Algorithm
intervals
Results
60.0ms801×body80nan
22.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
done20
320
218
114
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
35×times-frac
32×add-sqr-sqrt
23×add-cube-cbrt
16×distribute-lft-out
15×log-prod
13×fma-def div-inv
11×sqrt-prod
add-log-exp
pow1 distribute-rgt-out
add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u difference-of-squares
log-div fma-neg prod-diff
flip3-+ flip3-- sqrt-div frac-add distribute-rgt1-in flip-+ flip--
+-commutative rem-sqrt-square sum-log sub-neg sqrt-pow1 pow1/2 diff-log rem-log-exp log-pow
Counts
4 → 113
Calls
4 calls:
9.0ms
(sqrt (- 1 (* x x)))
27.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
41.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
9.0ms
(- 1 (* x x))

series390.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (- 1 (* x x)))
72.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
205.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
67.0ms
(- 1 (* x x))

simplify1.5s

Counts
125 → 125
Iterations
IterNodes
done5001
21442
1489
0207

prune728.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt x)
283.0ms
(cbrt x)
283.0ms
(cbrt x)
270.0ms
(cbrt x)

simplify4.0s

Counts
68 → 68
Iterations
IterNodes
done5011
64856
51192
4406
3186
297
147
027

prune374.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes82.0ms

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
done12
112
09

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.5s23946×body80nan
1.1s8000×body80valid