Details

Time bar (total: 15.7s)

sample190.0ms

Algorithm
intervals
Results
126.0ms797×body80nan
37.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
418
318
216
112
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
37×times-frac
35×add-sqr-sqrt
27×add-cube-cbrt
23×sqrt-prod
15×log-prod
10×difference-of-squares
8×distribute-lft-out associate-/l*
7×div-inv
6×add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1
3×expm1-log1p-u log-div associate-/r* distribute-rgt-out fma-neg prod-diff log1p-expm1-u
2×flip3-- sqrt-div flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-exp rem-log-exp frac-add distribute-rgt1-in log-pow flip-+
Counts
3 → 102
Calls
3 calls:
22.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
21.0ms
(- 1 (* x x))
9.0ms
(/ (sqrt (- 1 (* x x))) x)

series406.0ms

Counts
3 → 9
Calls
3 calls:
239.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
51.0ms
(- 1 (* x x))
115.0ms
(/ (sqrt (- 1 (* x x))) x)

simplify5.5s

Counts
111 → 111
Iterations
IterNodes
32880
21107
1470
0232

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1 (* x x))
0.0b
(log (/ 1 x))
0.2b
(+ (log (/ 1 x)) (log1p (sqrt (- 1 (* x x)))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
26×log-prod
24×*-un-lft-identity
21×add-sqr-sqrt
20×add-cube-cbrt
18×times-frac
13×associate-+l+
8×pow1 add-exp-log
7×log-pow
6×fma-def add-log-exp
4×rem-log-exp
3×expm1-log1p-u add-cbrt-cube fma-neg prod-diff log1p-expm1-u
2×log-div sum-log div-exp div-inv pow-flip distribute-lft-out inv-pow difference-of-squares
1×+-commutative rec-exp log1p-udef sub-neg flip3-+ flip3-- diff-log 1-exp log-rec associate-+l- flip-+ flip--
Counts
3 → 89
Calls
3 calls:
5.0ms
(- 1 (* x x))
6.0ms
(log (/ 1 x))
12.0ms
(+ (log (/ 1 x)) (log1p (sqrt (- 1 (* x x)))))

series575.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- 1 (* x x))
230.0ms
(log (/ 1 x))
287.0ms
(+ (log (/ 1 x)) (log1p (sqrt (- 1 (* x x)))))

simplify1.8s

Counts
98 → 98
Iterations
IterNodes
32494
2949
1384
0167

prune958.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes135.0ms

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
210
110
09

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.4s24065×body80nan
996.0ms8000×body80valid